Please help me
A
B
C
D
Please take your time and do it right I really need the point on my assignment.

Answer:

x^2 + y^2 = 400

Step-by-step explanation:

The equation for a circle is

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-0)^2 + (y-0)^2 = 20^2

x^2 + y^2 = 400

For the playpen area to be 1000 square feet and perimeter to be 150 feet, the length of the playpen should be at least 17.35 feet and at most 57.66 feet .

In the question ,

it is given that ,

the shape of the playpen = rectangle .

the perimeter of the playpen = 150 feet

let the length of the playpen = x feet

let the width of the playpen = y feet

So , 2(x + y) = 150

an , the area of the playpen = 1000

x*y = 1000

So , y = 1000/x

Substituting y = 1000/x  in the perimeter ,

we get ,

2(x + 1000/x ) = 150

x² + 1000 = 75x

x² - 75x + 1000 = 0

Applying Quadratic Formula , we get

x = [ -(-75) ± √(-75)² - 4*1*1,000]/2*1

on simplifying further ,

we get ,

x = 57.66 or 17.35

Therefore , For the playpen area to be 1000 square feet and perimeter to be 150 feet, the length of the playpen should be at least 17.35 feet and at most 57.66 feet .

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Answer: agree

Step-by-step explanation:

Answer:  B. 278%

Step-by-step explanation:

The area of the circle formula is area = pi times r^2

Let's find the area of Circle X.

3.14 times 5^2 = 78.5

Let's find the area of Circle Y

3.14 times 3^2 = 28.26

Now take 78.5 divided by 28.26, then times 100% = 277.7% or ground up to 278%

So the answer is B. 278%

AB = BA, the first pair of matrices does not satisfy \(AB \neq BA\).

AB = BA in general, even if A and B are both square. We say that A and B commute if AB = BA. We cannot argue that AB = AC provides B = C for a generic matrix A. (However, since A is invertible, we may multiply both sides of the equation AB = AC to the left by A1 to yield B = C.)

For matrices, A and B, the product AB is not necessarily equal to BA. In fact, matrix multiplication is not commutative in general. Therefore, we need to check each pair of matrices to see if their products are equal in order to determine which pair satisfies \($AB \neq BA$\).

\($$\begin{align*}AB &= \left[\begin{array}{cc}1 & 0 \ 3 & -2\end{array}\right] \left[\begin{array}{cc}7 & 0 \ 3 & 4\end{array}\right] \\\&= \left[\begin{array}{cc}1 \cdot 7 + 0 \cdot 3 & 1 \cdot 0 + 0 \cdot 4 \ 3 \cdot 7 - 2 \cdot 3 & 3 \cdot 0 - 2 \cdot 4\end{array}\right] \\\&= \left[\begin{array}{cc}7 & 0 \ 15 & -8\end{array}\right]\end{align*}\)

\($$\begin{align*}BA &= \left[\begin{array}{cc}7 & 0 \ 3 & 4\end{array}\right] \left[\begin{array}{cc}1 & 0 \ 3 & -2\end{array}\right] \\\&= \left[\begin{array}{cc}7 \cdot 1 + 0 \cdot 3 & 7 \cdot 0 + 0 \cdot (-2) \ 3 \cdot 1 + 4 \cdot 3 & 3 \cdot 0 + 4 \cdot (-2)\end{array}\right] \\\&= \left[\begin{array}{cc}7 & 0 \ 15 & -8\end{array}\right]\end{align*}\)

Since AB = BA, the first pair of matrices does not satisfy \(AB \neq BA\). We can proceed in the same manner to check the other pairs of matrices:

\($$\begin{align*}\\AB &= \left[\begin{array}{cc}1 & 0 \ 3 & -2\end{array}\right] \left[\begin{array}{cc}8 & 0 \ 11 & -3\end{array}\right] \\\&= \left[\begin{array}{cc}1 \cdot 8 + 0 \cdot 11 & 1 \cdot 0 + 0 \cdot (-3) \ 3 \cdot 8 - 2 \cdot 11 & 3 \cdot 0 - 2 \cdot (-3)\end{array}\right] \\\&= \left[\begin{array}{cc}8 & 0 \ 2 & 6\end{array}\right]\end{align*}\)

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- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.

a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.

b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.

Using Euler's method with two steps of equal size, we can approximate f(1) as follows:

f(0.5) = f(0) + (1/2)dy/dx|t=0

= 8 - (1/2)(1/6)*8

= 7.333...

f(1) = f(0.5) + (1/2)dy/dx|t=0.5

= 7.333... - (1/2)(7.333.../8)*(6-7.333...)

= 6.636...

Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.

c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.

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The range of the function is x∈[(-8 ,16)]

It is required to find the  range.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

Since f(x) = -2x + 4  is linear, its limit values correspond to the limits imposed by the domain (in this case x∈[(-6 ,6)]

By put the value of x in the given function we get,

f(-6) = -2(-6) + 4

        =12+4

         =16

f(6) = -2*6 + 4

       =-12+4

        =-8

So the range is -8<x<16.

Therefore, the range of the function is x∈[(-8 ,16)]

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Answer:

\(611\:\text{ft}\)

Step-by-step explanation:

In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. In this angle marked as \(42^{\circ}\) is actually the same as the angle with point \(P\).

Therefore, we can set up the following equation:

\(\tan 42^{\circ}=\frac{550}{x}\), where \(x\) is the distance from the coast.

Solving, we get:

\(x=\frac{550}{\tan 42^{\circ}},\\x\approx610.84\approx \boxed{611\:\text{ft}}\)

Answer:

\(-1.292\)

Step-by-step explanation:

The change of base formula is \(log_b(a)=\frac{log(a)}{log(b)}\), therefore:

\(log_{\frac{1}{4}}(6)=\frac{log(6)}{log(\frac{1}{4})}\approx-1.292\)

Sam's depth is 25 feet as 14 + 9 = 25

Using the length and breadth οf the rectangular kitchen, fοund using the distance fοrmula, we fοund the area as 165 sq. feet.

The internal angles οf a rectangle, which has fοur sides, are all exactly 90 degrees. At each cοrner οr vertex, the twο sides cοme tοgether at a straight angle.

Here, Pοints (7,6) and (7.-9) lie οn the same hοrizοntal line as the x values are the same

Sο the distance between these pοints can be taken as the length οf the rectangle.

The distance can be fοund using the distance fοrmula.

Length l = \(\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)

             = \(\sqrt{(7-7)^2 + (6--9)^2} = \sqrt{15^2} = 15\)

Nοw the pοints  (7,6) and (-4,6) lie οn the same vertical line as the y values are the same.

Sο the distance between these pοints can be taken as the breadth οf the rectangle.

Breadth b = \(\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\) = \(\sqrt{(7--4)^2 + (6-6)^2} = \sqrt{11^2} = 11\)

Since it is a rectangle, the οppοsite sides will have the same measurements.

Nοw the area = l * b = 15 * 11 = 165 sq. feet.

Therefοre using the length and breadth οf the rectangular kitchen, fοund using the distance fοrmula, we fοund the area as 165 sq. feet.

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Therefore , the solution to the given problem of mean comes out to be the of saturdays had at least 72 calls to emergency dispatch is 9%.

The "mean" is the "average" to finding by adding together all the numbers and dividing by the total. The value "in the middle" of the range of numbers is the median. Before you can discover the median, you may need to modify your list since your numbers must be placed in number order from largest to smallest. The value that happens most frequently is considered the "mode." There really is no mode again for list if there are no repeated numbers.

Here,

A bell-shaped curve with a symmetrical shape around the distribution's mean characterizes the normal distribution.

Standard normal distribution (SND) is a type of normal distribution with mean 0, and standard deviation 1.

The normal random variable can be converted into standard normal score using the method z = I".

An interval's area under the curve is equal to the percentage of data that falls within it.

Then it is asked to determine the ratio that is greater than 72, which will equal the region to the right of a = 72. First, change this x value into a z-score by replacing 64 and  σ = 6 in the

=>z = u - x/ σ

z=72-64/6 ≈1.33

Therefore , the solution to the given problem of mean comes out to be the of saturdays had at least 72 calls to emergency dispatch is 9%.

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Since lines l and m are parallel, we know that angles 1 and 5 are corresponding angles and are therefore congruent. Also, angles 4 and 8 are corresponding angles and are congruent.

We also know that angles 1 and 4 are vertical angles, so they are congruent, and angles 2 and 3 are vertical angles, so they are congruent.

Thus, we can set up the following equation:

m∠7 = m∠8 - m∠5 = m∠4 - m∠5

We are given that m∠2 = 120°, so we can use this to find m∠1:

m∠1 + m∠2 = 180° (since angles 1 and 2 are supplementary)

m∠1 + 120° = 180°

m∠1 = 60°

Since angles 1 and 5 are congruent, we know that m∠5 = 60°.

We are also given that angles 1 and 3 are complementary, so we can use this to find m∠3:

m∠1 + m∠3 = 90°

60° + m∠3 = 90°

m∠3 = 30°

Now we can find m∠4:

m∠1 + m∠4 = 180° (since angles 1 and 4 are supplementary)

60° + m∠4 = 180°

m∠4 = 120°

Finally, we can use these values to find m∠7:

m∠7 = m∠4 - m∠5

m∠7 = 120° - 60°

m∠7 = 60°

Therefore, m∠7 is 60°.

The null hypothesis assumes that the proportion of college students who believe in extraterrestrial life is the same or lower than the general population

The appropriate null and alternative hypothesis that tests whether the proportion of college students who believe in extraterrestrial life is greater than the general population can be expressed as follows:

Null hypothesis: The proportion of college students who believe in extraterrestrial life is equal to or less than the general population, or

H0: p <= 0.47

Alternative hypothesis: The proportion of college students who believe in extraterrestrial life is greater than the general population, or

Ha: p > 0.47

where p is the true proportion of college students who believe in extraterrestrial life.

In other words, the null hypothesis assumes that the proportion of college students who believe in extraterrestrial life is the same or lower than the general population (i.e., there is no difference between the two populations), while the alternative hypothesis assumes that the proportion of college students who believe in extraterrestrial life is higher than the general population.

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Answer:

What's the context???

Step-by-step explanation:

I don't understand oof

Answer:

x intercepts at -4 and 1,

with a minimum at (-1.5, -6.25)

Step-by-step explanation:

(x + 4)(x - 1) = 0

x = -4, 1

min = -b/2a = -3/2(1) = x = -1.5

y = (-1.5)² + 3(-1.5) - 4 = -6.25

Answer:

  graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4

Step-by-step explanation:

The graph shows the minimum is (-1.5, -6.25) and the x-intercepts are a -4 and 1. This matches the last description.

__

The x-coordinates of the offered minima are all different, so it is sufficient to know that the axis of symmetry is the line ...

  x = -b/(2a) = -3/(2(1)) = -1.5 . . . . . . . for quadratic f(x) = ax² +bx +c

This is the x-coordinate of the minimum.

It is simpler to compute the likelihood of the complement event when calculating probabilities since you can then just subtract it from 1 to determine the probability.

the variety of strategies for success. all events that could possibly occur.

Since 13% of people are lefties and 87% are righties, we'll assume that everyone is either a righty or a lefty, thus the decimal percentage of 0.87 divided by the total number of participants, 12, is the mean.

P(Right handed) = 1 - 0.13 = 0.87 where P(Left handed) = 0.13 and P(Right handed) = 0.13 12 people make up the nth number. The binomial probability distribution will be used in this case, and it can be computed using the formula P(X = n|N,p) = NCn*(pn)*(1-p) (N-n).

where p is the chance of success and n is the sample size, or 12, in this case. Additionally, q represents the 0.13 failure chance.

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P(Right handed) = 1 - 0.13 = 0.87 where P(Left handed) = 0.13 and P(Right handed) = 0.13 12 people make up the nth number. It is simpler to compute the likelihood of the complement event when calculating probabilities.

the variety of strategies for success. all events that could possibly occur.

Since 13% of people are lefties and 87% are righties, we'll assume that everyone is either a righty or a lefty, thus the decimal percentage of 0.87 divided by the total number of participants, 12, is the mean.

P(Right handed) = 1 - 0.13 = 0.87 where P(Left handed) = 0.13 and P(Right handed) = 0.13 12 people make up the nth number. The binomial probability distribution will be used in this case, and it can be computed using the formula P(X = n|N,p) = NCn*(pn)*(1-p) (N-n).

where p is the chance of success and n is the sample size, or 12, in this case. Additionally, q represents the 0.13 failure chance.

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The solution to the system of equations (0.4, 1).

Given equations according to the question,

y = -5x+3

y = 1

Now we can use y = 1 and substitute the value of y in y = -5x+3

After substituting we get, the value of y we get,

= 1 = -5x+3

Now given points according to the questions are

(0.4, 1) , (0.8, 1), (1, 0.4), (1, 0.8).

We substitute these points in the equation to see which points satisfy the equation, the point satisfying the equation is our point.

First, we will use (0.4, 1)

= 1 = -5x+3

= 1 = -5×0.4 + 3

= 1 = -2+3

= 1 = 1

Hence (0.4, 1) is our first solution of the equation.

Then we will use (0.8 ,1)

= 1 = -5x+3

= 1 = -5×0.8 + 3

= 1 = -4+3

= 1 = -1

Hence (0.8, 1) is not out the solution to the equation.

Then we will use (1,0.4)

= 1 = -5x+3

= 1 = -5×1 + 3

= 1 = -5+3

= 1 = -2

Hence (1, 0.4) is not the solution to the equation.

Then we will use (1,0.8)

= 1 = -5x+3

= 1 = -5×1 + 3

= 1 = -5+3

= 1 = -2

Hence (1, 0.8) is not the solution to the equation.

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Answer:

ok so on the left ill put minutes and on the right ill put dollars

150=7.50

220=11.00

250=12.50

275=13.75

so now lets break this down by dividing the smallest numbers by 2 a couple times

75=3.75(2)

25=1.25(3)

1=0.05(25)

so for every minute on the phone you pay 5 cents

Hope This Helps!!!

Answer:

for every minute on the phone you pay 5 cents, add brainly plz.

Step-by-step explanation:

The probability that x forms are required is known to be proportional to  c = 1/15.   c= 2/5  c= 3/5, c= 1.1

(a) Since the probabilities must sum to 1, we have:

pX(1) + pX(2) + pX(3) + pX(4) + pX(5) = c(1 + 2 + 3 + 4 + 5) = 15c

Therefore, c = 1/(1 + 2 + 3 + 4 + 5) = 1/15.

(b) The probability that at most three forms are required is:

P(X ≤ 3) = pX(1) + pX(2) + pX(3) = c(1 + 2 + 3) = 6c = 2/5.

(c) The probability that between two and four forms (inclusive) are required is:

P(2 ≤ X ≤ 4) = pX(2) + pX(3) + pX(4) = c(2 + 3 + 4) = 9c = 3/5.

(d) No, because the probabilities do not sum to 1:

Σ pX(x) from x = 1 to 5

= (1/50)(1 + 4 + 9 + 16 + 25)

= 55/50

= 1.1

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Present value of Loan payment 1 = \($1000 / (1 + (0.12/365))^{60\)

Present value of Loan payment 2 = \($1200 / (1 + (0.12/365))^{(-30)\)

The single payment required 90 days from now to pay off the two obligations would be the total present value calculated in Step 3.

To calculate the single payment required to pay off the two obligations with a 12% interest rate, we can use the concept of present value. Present value is the current worth of a future payment, taking into account the interest rate and time.

Let's break down the given information:

Loan payment 1: $1000 due 60 days ago

Loan payment 2: $1200 due in 30 days

To find the single payment required 90 days from now, we need to calculate the present value of each payment and then add them together.

Step 1: Calculate the present value of Loan payment 1.

The time period for Loan payment 1 is 60 days ago.

To bring it to the present, we need to calculate the interest accrued for 60 days at a 12% annual interest rate.

Step 2: Calculate the present value of Loan payment 2.

The time period for Loan payment 2 is 30 days in the future.

To bring it to the present, we need to calculate the interest accrued for 30 days at a 12% annual interest rate.

Step 3: Add the present values of Loan payment 1 and Loan payment 2.

Total present value = Present value of Loan payment 1 + Present value of Loan payment 2

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Answer:

B

Step-by-step explanation:

=> 4a - 7 < 2a + 1

=> 4a - 2a < 1 + 7

=> 2a < 8

=> a < 8/2

=> a < 4

( option B )

The top of the ladder is moving down the wall at a rate of approximately 2.04 ft/sec.

To solve this problem, we can use related rates and apply the Pythagorean theorem.

Let's denote the distance of the bottom of the ladder from the wall as x (in feet) and the height of the ladder on the wall as y (in feet). We are given that dx/dt = 3 ft/sec, which represents the rate at which the bottom of the ladder is moving away from the wall.

According to the Pythagorean theorem, we have:

x^2 + y^2 = 16^2

Differentiating both sides of the equation with respect to time t, we get:

2x(dx/dt) + 2y(dy/dt) = 0

We are interested in finding dy/dt, which represents the rate at which the top of the ladder is moving down the wall.

At the specific moment when the bottom of the ladder is 9 feet from the wall (x = 9), we can substitute these values into the equation:

2(9)(3) + 2y(dy/dt) = 0

Simplifying, we have:

54 + 2y(dy/dt) = 0

2y(dy/dt) = -54

Dividing both sides by 2y, we get:

dy/dt = -27/y

To find the value of y, we can use the Pythagorean theorem:

x^2 + y^2 = 16^2

Substituting x = 9, we have:

9^2 + y^2 = 16^2

81 + y^2 = 256

y^2 = 175

y = √175 ≈ 13.23 ft

Now, we can substitute y = 13.23 ft into the equation for dy/dt:

dy/dt = -27/13.23 ≈ -2.04 ft/sec

Therefore, when the bottom of the ladder is 9 feet from the wall, the top of the ladder is moving down the wall at a rate of approximately 2.04 ft/sec.

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Answer:

8.2ft

Step-by-step explanation:

Perimeter of a whole circle = 2*pi*r with radius r

Here we have 1.6ft as the radius so the whole circle's perimeter would be

2 * 3.14 * 1.6 = 10.048

We have half the circle so we half this number to 5.024.

Now we have to add the bottom straight line, which is two radii (two lots of 1.6)

5.024 + 1.6  + 1.6 = 8.224 which is rounded to 8.2ft

a. The probability that 1 or more nonconforming units are found is 0.2311.

b. The probability that exactly 3 units are nonconforming is 0.000058.

a. To solve the problem, you can use the complement rule. The complement rule states that the probability of an event occurring is 1 minus the probability of the event not occurring. So, in this case, the probability that no nonconforming units are found in a sample of 25 units is:

P(no nonconforming) = (0.99)²⁵ = 0.787.

Therefore, the probability that 1 or more nonconforming units are found is:

P(1 or more nonconforming) = 1 - P(no nonconforming) = 1 - 0.787 = 0.213.

Rounded to four decimal places, this is 0.2311.

b. To solve the problem, you can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k).

Here, n = 25 is the sample size, k = 3 is the number of nonconforming units, and p = 0.01 is the probability of a unit being nonconforming.

Using the formula, we get:

P(X=3) = (25 choose 3) * (0.01)³ * (0.99)²² = 2300 * 0.000001 * 0.5459 = 0.000058.

Rounded to six decimal places, this is 0.000058.

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Answer:

Step-by-step explanation:

It's going to be a mixed number.

Givens

L = 4 units

w*h = 2 1/8 units^2

V=L* (w*h)

V = 4 * (2 1/8)

V = 8 1/2

Where did the 1/2 come from?

You could write 2 1/8 as 2 + 1/8 and use the distributive property.

4(2 + 1/8)

4*2 + 4 * 1/8

8 + 4/8

4/8 = 1/2

8 1/2

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

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