Integrate this two questions ​

Answer:

500 centimeters

Step-by-step explanation:

Answer:

500 Centimeters

Step-by-step explanation:

To find its dimension, we need to determine the number of linearly independent functions in the set. In this case, there are two linearly independent functions, acos(2x) and bsin(2x), as they cannot be expressed as scalar multiples of each other. Hence, the dimension of the vector space is 2.

To determine whether the set of functions y(x) = acos(2x) + bsin(2x) with arbitrary constants a and b forms a vector space, we need to check if it satisfies the vector space axioms.

Closure under addition: If we take two functions f(x) = acos(2x) + bsin(2x) and g(x) = ccos(2x) + dsin(2x), their sum h(x) = f(x) + g(x) will still be in the same form, with arbitrary constants (a + c) and (b + d). So, it satisfies closure under addition.

Closure under scalar multiplication: If we multiply the function f(x) = acos(2x) + bsin(2x) by a scalar k, the resulting function kf(x) = (ak)cos(2x) + (bk)sin(2x) will still be in the same form, with arbitrary constants (ak) and (bk). Hence, it satisfies closure under scalar multiplication.

The set contains the zero vector: The zero vector in this case is the function f(x) = 0cos(2x) + 0sin(2x) = 0. It belongs to the given set.

Associativity of addition and scalar multiplication, commutativity of addition, and distributivity: These properties hold for the given set as they are inherited from the properties of trigonometric functions and basic algebraic operations.

Therefore, the given set of functions forms a vector space.

To find its dimension, we need to determine the number of linearly independent functions in the set. In this case, there are two linearly independent functions, acos(2x) and bsin(2x), as they cannot be expressed as scalar multiples of each other. Hence, the dimension of the vector space is 2.

Learn more about dimension here:

https://brainly.com/question/26740257

#SPJ11

Answer:

V = 64 cm^3

Step-by-step explanation:

Volume of a cube is given by

V = s^3 where s is the side length

V = 4^3

V = 64 cm^3

Answer:

64

Step-by-step explanation:

i guess so as the volume is 4×4×4

If an interval estimate is said to be constructed at the 90 confidence level, the confidence coefficient would be 0.9.

Confidence level:

Confidence level means the proportion or frequency of acceptable confidence intervals that contain the true value of the unknown parameter.

For example,

A 0% confidence level means you have no faith at all that if you repeated the survey that you would get the same results.

Confidence Coefficient:

Confidence coefficient states the confidence level stated as a proportion, rather than as a percentage.

For example, if you had a confidence level of 99%, the confidence coefficient would be .99.

Given,

Here we know that the confidence level is 90%, now we have to find the confidence coefficient of it.

Based on the definition,

The confidence coefficient for 90% confidence level is 0.9.

To know more about Confidence Level here.

https://brainly.com/question/22851322

#SPJ4

Answer:

6x^3 (9x^361 + 10x+9)

Step-by-step explanation:

Answer:

what  question?

Step-by-step explanation:

(6x-5)-(-x-4)

6x-5=x+4

6x-x=4+5

5x=9

If you multiply an odd number by 3 and then add 1, we get an even number as the result.

The odd number is described as a number that is not divisible by 2. These numbers include 1, 3, 5, and so on. While the even number is described as the number that is divisible by 2 such as 2, 4, 6, and so on.

We can represent an odd number by 2n + 1 where n is any integer

According to the question,

we multiply the number by 3 and we get 3 * (2n + 1) and finally 6n + 3

And then we add 1 to the resulting number 6n + 3 + 1 and thus, 6n + 4

6n + 4 is divisible by 2 as we can take 2 common out of the expression, thus the result is an even number.

Learn more about even numbers:

https://brainly.com/question/30758840

#SPJ4

Answer:

0.1 , 0.2 , 0.05

Step-by-step explanation:

*each column adds to 1*

20 x 1/2 = 10

1/2 x 20 x 0.1 = 1

top left box = 0.1

; 5 x 2 x 0.1 = 1

1/2 x 10 = 5

; 0.2 x 1/2 x 10 = 1

bottom middle box = 0.2

; 5 x 1 x 0.2 = 1

; 2 x 10 x 0.05 = 1

middle right box  = 0.05

; 20 x 1 x 0.05

Answer:

rational

Step-by-step explanation:

If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational.       hope that helped

Answer:

78

Step-by-step explanation:

add them all

The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

To learn more about rational function

brainly.com/question/27914791

#SPJ4

Answer:

Step-by-step explanation:

Rule

The sin of any angle = cos(90  -  the angle used for the sine)

Sin(64) = cos(90 - 64)

Sin(64) = cos(26)

Check

Sin(64) = 0.8988

Cos(26) = 0.8988

sin (90-x)=cos (x) ( Trigonometry Indentity)

So, sin (90-26)= cos (26) = sin (64)

Cosine and Sine values appear to be related complementary, as in the above answer. If you’ve seen the pattern such as

cos (0) = sin (90)

cos (30) = sin (60)

cos (45) = sin(45)

cos(60) = sin (30)

cos (90) = sin (0),

The sum of the angles equal 90 degrees.

Answer:

A = ± \(\sqrt{\frac{q+3g}{b^2} }\)

Step-by-step explanation:

Given

b²A² - 3g = q ( add 3g to both sides )

b²A² = q + 3g ( divide both sides by b² )

A² = \(\frac{q+3g}{b^2}\) ( take the square root of both sides )

A = ± \(\sqrt{\frac{q+3g}{b^2} }\)

An equation relating G to D is G = 14 - D/35.

A graph of the equation using the axes is shown in the image below.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Based on the information provided about Rav's trip on the highway, we have the following slope and y-intercept;

Slope, m = -1/35.

y-intercept, c = 14.

By substituting the given parameters, we have the following:

y = mx + c

G = Dx + c

G = -D/35 + 14

G = 14 - D/35

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

Answer: 5 hours

Step-by-step explanation:

If 10% of 140 is 14. And if 14 mg of caffeine is leaving per hour then it would take 10 hours to completely leave from ones body, but for half of it to leave it would take 5.

Answer: 40

Step-by-step explanation:

Opposite sides of a rhombus are parallel, so by the alternate interior angles theorem, angle ABE measures 50 degrees.

Also, the diagonals of a rhombus are perpendicular, so angle AEB is 90 degrees.

Thus, as angles in a triangle (in this case AEB) add to 180 degrees, x=40.

Answer:

Here is the equation in quadratic form:

x= 3±i√47/4

She can grow 4 plants because 10/2.5 is equal to 4. So, the answer is 4 plants. Hope this helped.

The flux of the vector field F is ∬S​(−3xy−2yz+4zx)dS.The limits of integration will depend on the specific portion of the plane in consideration.

What is the flux of a vector field?

The flux of a vector field through a surface is a measure of how much of the vector field flows across or penetrates that surface. It quantifies the net flow of the vector field through the surface.

To compute the flux of the vector field F=(xy,2yz,4zx) through the portion of the plane 3x+2y+z=6 in the first octant with the downward orientation, we have to perform a surface integral over the given region.

The flux integral can be computed using the formula:

Flux=∬S​F⋅ndS,

where:

F= the vector field

n = the outward unit normal vector to the surface S

dS = the surface area element.

To find the outward unit normal vector, we need to determine the gradient of the equation of the plane:

3x+2y+z=6.

Taking the gradient, we get:

∇(3x+2y+z)=∇(6),

3i+2j+k=n.

Now, the flux integral:

Flux=∬S​F⋅ndS.

Since it is a planar surface, we can choose convenient parameters.

x=u, y=v, z=6−3u−2v.

Next, we need to calculate the cross product of the partial derivatives of the parameterization:

∂u∂r​×∂v∂r​,

where,r(u,v)=(u,v,6−3u−2v).

Taking the cross product, we get:

∂u∂r​×∂v∂r​=(−3,−2,1).

Now, we can substitute these values into the flux integral:

Flux=∬S​F⋅ndS,

Flux=∬S​(xy,2yz,4zx)⋅(−3,−2,1)dS,

Flux=∬S​(−3xy−2yz+4zx)dS.

Finally, we evaluate this integral over the given region in the first octant with the downward orientation. The limits of integration will depend on the specific portion of the plane in consideration.

Question: compute the flux of the vector field F = (xy, 2yz, 4zx) through the portion of the plane 3x+2y+ z = 6 in the first octant with the downward orientation.

To learn more about the flux of a vector field from the given link

brainly.com/question/32233611

#SPJ4



Answer: A

Step-by-step explanation:

Francis = v+9

17 = v +9 so A

Answer:

it would be a

Answer:

52

Step-by-step explanation:

i just looked up 65% of 80

We can use the radical rules to simplify the product 3(4x2). To start, we simplify 4 to its square root, which equals 2. Next, we employ the power property of radicals, which asserts that (a,m) = (a(m/2)), to simplify the cube root (x2) by using it. In this instance, (x2) = x.

We now get 3 * 2 * x, which simplifies to 6x when the simpler terms are combined.The result is that the product 3(4x2) has the simplest form (6x).We can dissect the constituent parts and use the radical-simulation principles to simplify the product 3(4x2).In the beginning, we may reduce the square root of 4 to 2: 3(2x2).Then, since it contains a square (2) and a cube root (), we can reduce them as follows:

3 * 2 * x^(²/³)Taking the square root before the cube root is shown by the exponent 2/3. We may calculate the exponent by reducing it to: 3 * 2 * x(2/3)The terms are then combined when we multiply the coefficients: 6 * x(2/3)As a result, 6x(2/3) is the product of 3(4x2) in its simplest form.

learn more about simplify here :

https://brainly.com/question/17579585

#SPJ11

The three infinite lines of charge, with densities of +3 (nC/m), -3 (nC/m), and +3 (nC/m), respectively, are parallel to the z-axis and pass through specific points.

To determine the electric field at a point, we need to use Coulomb's law and integrate over the length of each line of charge.

The direction of the electric field is perpendicular to the line of charge, and the magnitude is proportional to the charge density and inversely proportional to the distance from the point to the line of charge. The final result will be a vector sum of the electric fields due to each line of charge.

To know more about Coulomb's law click on below link:

https://brainly.com/question/506926#

#SPJ11

complete question:

Three infinite lines of charge, rhol1 = 3 (nC/m), rhol2 = −3 (nC/m), and rhol3 = 3 (nC/m), are all parallel to the z-axis. If they pass through the respective points determine the nature of electric field.

Answer:13

Step-by-step explanation: Your going up on the number line.

Hope I was able to help! :)

The probability of drawing a spade or diamond card from a standard deck of shuffled cards is 0.5.

We know that:

The total number of cards in a deck of cards is:

T = 52 cards

We also know that:

Number of spade cards in the deck = 13 cards

Number of diamond cards in the deck = 13 cards

Number of possible outcomes = 13 + 13 = 26 cards

Probability of drawing a spade or diamond card from a standard deck of shuffled cards will be:

P = 26 / 52 = 1 / 2

P = 0.5

Therefore, we get that, the probability of drawing a spade or diamond card from a standard deck of shuffled cards is 0.5.

Learn more about probability here:

https://brainly.com/question/25870256

#SPJ4

Answer:

Well if you add up all 3 angles in a triangle you’d get 180 degrees as the answer.

So we can. Jus substitute.

For number 19 you can do this

57+x+x+87+50=180

Now combine like terms

194+2x=180

Now solve

x=-7

Now we can subsitute that into angle A

57+ (-7) which is 50

Measure of angle A is 50.

For number 19 it’s the same thing.

9x+14+16x-4+80=180

Now combine like terms

25x+90=180

Solve

25x= 90

x= 3.6

Now subsitue for A

3.6*9+4 which is 36.4

A is 36.4

The 90% confidence interval for the mean length of stay for patients with abdominal surgery is [5.64, 5.86].

The formula for the confidence interval is given by: \($CI=\bar{X}\pm Z_{\alpha/2} \times \frac{S}{\sqrt{n}}$\)

Given data:Sample size, n = 2121,Sample mean, \($\bar{X}$\) = 5.75,Sample standard deviation, S = 1.11 Confidence interval, CI = 90%

Now, we need to find the value of Zα/2 from the Z-table.

The value of α/2 is given by 1-90/100 = 0.1.

Therefore, α/2 = 0.05.From the Z-table, we can find the Z-value corresponding to 0.05, which is 1.645.

Substituting all these values in the formula, we get:\(\[\begin{aligned}CI&=\bar{X}\pm Z_{\alpha/2} \times \frac{S}{\sqrt{n}}\\&=5.75\pm 1.645 \times \frac{1.11}{\sqrt{2121}}\\&=5.75\pm 0.106\\&=[5.64, 5.86]\end{aligned}\]\)

Therefore, the 90% confidence interval for the mean length of stay for patients with abdominal surgery is [5.64, 5.86].

To know more about confidence interval visit:

https://brainly.com/question/32546207

#SPJ11

Answer:

14

Step-by-step explanation:

13 is a prime number

so it can only have the positive integer factors {1,13}

So {x,y} = {1,13} or {13,1}

In either case, 1+13 = 14

The sum of x + y is 14 .

A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.

According to the question

xy=13

both x and y are positive

As 13 is a prime number

i.e

(x,y) can be only 1 or 13 .

To get 13 as product of xy

(x,y) must be equal to  (1,13) or (13,1)

Therefore,

the sum of x + y  = 13 + 1

                           = 14

Hence, the sum of x + y is 14 .

To know more about  prime numbers here:

https://brainly.com/question/9315685

#SPJ3