using the taylor series for e^-x^2 to evaluate the integral i =

Answer:

9.43 ft

Step-by-step explanation:

First, we need to find the area of the entire circle(shaded & unshaded), which is 12.57, with a radius of 2 ft. Next, we find the area of the white area, and NOT the shaded area, which is 3.14, with a radius of 1 ft. Now, we need to subtract the white area(3.14) from the total area(12.57), which is 9.43.

Hope this helps!

Answer:

\(\displaystyle Vt=\frac{7x}{2}\)

Step-by-step explanation:

There are three different box sizes: The small, the medium, and the large size.

The small box has half the volume of the medium box. If x is the volume of the medium box, then:

The volume of small box = \(\frac{x}{2}\)

The large's volume is twice the medium's volume, thus:

The volume of large box=2x

The total volume of the three boxes is:

\(\displaystyle Vt=\frac{x}{2}+x+2x\)

Operating:

\(\displaystyle Vt=\frac{x+2x+4x}{2}=\frac{7x}{2}\)

The expression for the combined volume of the three boxes is

\(\mathbf{\displaystyle Vt=\frac{7x}{2}}\)

Answer:

x = 3, ML = 11

Step-by-step explanation:

(mathwway algebra calculator) is a good website to help you find the answer to these math questions. So first 2x+5=5x-4. When you solve it you end up with x = 3. Then, you plug the 3 into 5x-4 the equation for ML. 5 x 3 - 4 = 11. Hope this helps!

CSC (x) , x = π

TAN (x) , x = -π

COS (x) , x = π/2

Step-by-step explanation:

Step-by-step explanation:

your basically finding the area witch is b*h so for 3.(im not really sure so don't fully trust me on three lol) 6×8=48mm

then on 4. it's 10×13=130mi

Answer:

Surface area = 31.42

Step-by-step explanation:

A=2πrh+2πr²=2·π·1.25·2.75+2·π·1.25²≈31.41593

the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

To know more about Volume of region Visit:

https://brainly.com/question/30785714

#SPJ11

Answer:

Step-by-step explanation:

12

14

(hyp)2 = (leg)2 + (leg)

1) Which side is the hypotenuse?

2) Fill-in the Pyth. Thm. Equation:

1

1)2 = (14) ²+ (

) 2

3) Solve for c. Round to the nearest tenth.

C =

the height of the side of the paper boat should be as low as possible without compromising structural stability. A lower height reduces the boat's weight, allowing it to carry more additional weight. Experimentation and testing are recommended to find the optimal height.

When creating a paper boat, the height of the side plays a crucial role in determining its weight-bearing capacity. The key is to strike a balance between minimizing the weight of the boat and maintaining its structural stability. As the height of the side decreases, the overall weight of the boat decreases, allowing for more additional weight to be supported.

However, it is important to consider the structural integrity of the boat. If the height is too low, the boat may become unstable and prone to capsizing or collapsing under the weight. Therefore, finding the optimal height requires experimentation and testing. It is recommended to start with a relatively low height and gradually increase it while testing the boat's stability and weight-carrying ability.

Ultimately, the ideal height of the side of the boat will depend on various factors, including the type and thickness of the paper, the folding technique used, and the intended use of the boat. Experimenting with different heights and carefully observing the boat's performance will help determine the height that maximizes its weight-bearing capacity.

Learn more about experimentation here:

https://brainly.com/question/32889718

#SPJ11

Answer:

3rd jump

Step-by-step explanation:

The distance jumped is given in the table attached. to get the jump that do not round up to 4.7 meters, we round each of the jump to one decimal place and then select the jump that does not round up to 4.7 meters.

Therefore rounding off gives:

1st jump: 4.746 meters = 4.7 meters to one decimal place

2nd jump: 4.680 meters = 4.7 meters to one decimal place

3rd jump: 4.647 meters = 4.6 meters to one decimal place (does not round to 4.7 meters)

4th jump = 4.733 meters = 4.7 meters to one decimal place

The dishonest shopkeeper marks his goods with a 40% markup and offers a 25% discount to customers. The profit earned by the shopkeeper on this particular item is $105 - $100 = $5.

Let's consider the cost price of an item to be $100. The shopkeeper marks it up by 40%, which results in a selling price of $140. However, the shopkeeper then offers a 25% discount on this inflated price, bringing the price down to $105.

Now, regarding the weight manipulation, the shopkeeper falsely claims that the weight of the item is 1kg. However, in reality, it weighs only 800g. Since the selling price is determined based on weight, the customer is paying the price of 1kg while receiving only 800g of the item.

To calculate the profit, we need to subtract the cost price from the selling price. The selling price, taking into account the discount and weight manipulation, is $105. The cost price is $100. Hence, the profit earned by the shopkeeper on this particular item is $105 - $100 = $5.

Learn more about subtract here:

https://brainly.com/question/13619104

#SPJ11

the formula: y=mx+b

y=-2x+3

y = 3

x= -2/1

\(\frac{rise}{run}\)

Answer:

v=-155

Step-by-step explanation:

167 = 12 - v

subtract both sides by 12

155= -v

multiply both sides by -1

-155= v

Answer:

the answer here is x=2. it makes it 2/3 equivalent to 4/6 then 4/6-1/6 equals 3/6 which is equivalent to .5 or 1/2. i hope this Helps

Step-by-step explanation:

0.5=1/3-|(x-3)/6+x|

To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging in the x value into the equation. The resulting y value is your predicted linear regression score.

To know more about linear regression scores:- brainly.com/question/30670065

#SPJ11

Step-by-step explanation:

explanation:

Divide the number to be factored by the prime numbers in turn. Test that result is a natural number. If so, it is a prime factor. Continue until the factorisation is complete.

That means , Seth gain loss of  $261 on his selling stocks.

Last month, Seth made money by selling stocks. His investment income was $401 This month, Seth's investment income is −$261 What does this mean?

Profit(P)

The amount gained by selling a product for more than its cost price.

Loss(L)

The amount the seller incurs after selling the product less than its cost price is mentioned as a loss.

Cost Price (CP)

The amount paid for a product or commodity to purchase is called a cost price. Also, denoted as CP. This cost price is further classified into two different categories:

Fixed Cost: The fixed cost is constant, it doesn’t vary under any circumstances

Variable Cost: It could vary depending on the number of units and other factors

Selling Price (SP)

The amount for which the product is sold is called the Selling Price. It is usually denoted as SP. Also, sometimes called a sale price.

Marked Price Formula (MP)

This is basically labelled by shopkeepers to offer a discount to the customers in such a way that,

Discount = Marked Price – Selling Price

And Discount Percentage = (Discount/Marked price) x 100

Profit and Loss Formulas

Now let us find the profit formula and loss formula.

The profit or gain is equal to the selling price minus the cost price.

Loss is equal to the cost price minus the selling price.

Profit or Gain = Selling price – Cost Price

Loss = Cost Price – Selling Price

The formula for the profit and loss percentage is:

Profit percentage (P%) = (Profit /Cost Price) x 100

Loss percentage (L%) = (Loss / Cost price) x 100

Last month

Seth made money by selling stocks.

His investment income was $401

That means , Seth gain profit of $401 on his selling stocks.

This month

Seth's investment income is −$261

That means , Seth gain loss of  $261 on his selling stocks.

To know more about Profit and Loss visit

brainly.com/question/13934673

#SPJ4

Answer:

6x + y = 4

Step-by-step explanation:

Slope intercept form is y = mx + b

Standard form is ax + by = c

\(m=7, (-5,1)\)

In standard form it is \(y=7x+36\) and in point-slope form it is \(y-43=7(x-1)\).

Answer: the y-intercept of the line is 32

The type of sampling used in this scenario is called "random sampling" or "simple random sampling".

In random sampling, each member of the population (in this case, the 200 people) has an equal chance of being selected. Since the Excel generated random numbers and the corresponding names were chosen, without any specific criteria or bias, it represents a random selection process. Therefore, it is an example of random sampling.

what is  random sampling?

Random sampling is a method of selecting a sample from a population in such a way that each member of the population has an equal and independent chance of being chosen. It is a fundamental technique used in statistics and research to gather data and make inferences about the larger population.

In random sampling, every individual or element in the population has an equal probability of being selected for the sample. This ensures that the sample is representative of the population and reduces bias. Random sampling helps to generalize the findings from the sample to the entire population, as it provides a fair and unbiased representation.

To learn  more about random sampling visit:

brainly.com/question/29357010

#SPJ11

By using trigonometric relations, we will see that:

x = √3

In the image, we can see a right triangle, where the hypotenuse measures √6, and the two legs have the same measure.

Then this is a 45°, 45°, 90° right triangle.

Then we can use the relation:

cos(a) = (adjacent cathetus)/(hypotenuse).

Where a = 45°, adjacent cathetus = x, hypotenuse = √6

Replacing that, we get:

cos(45°) = x/√6

Remember that cos(45°) = 1/√2

Replacing that we get:

1/√2= x/√6

√6/√2 = x

√(6/2) = x

√3 = x

If you want to learn more about right triangles:

https://brainly.com/question/2217700

#SPJ1

The restricted value on the range of function f(x) is given as follows:

3.

From the horizontal dashed line, the function never assumes a value of y = 3, hence the restricted value on the range of function f(x) is given as follows:

3.

Learn more about domain and range at https://brainly.com/question/26098895

#SPJ1

Answer:

3

Step-by-step explanation:

The range of a function is the set of all possible output values (y-values).

The given diagram shows the graph of a rational function with a horizontal asymptote at y = 3 (indicated by the dashed line).

An asymptote is a line that the curve gets infinitely close to, but never touches.

Therefore, as there is an asymptote at y = 3, the curve of the function will never touch the line y = 3, and consequently the value of y = 3 is restricted from the range of the function.

Answer:

62-3z ≤ 40

Step-by-step explanation:

62 is the starting point. jasmin's dog can lose 3 lbs per week and z represents the number of possible weeks. then we know it has to be less than or equal to 40. so put that there.

The error for each approximation xn that you found in part (a) with the forward Euler method can be calculated using the absolute value of the difference between the approximation and the exact value.

The exact value of xn can be found using the following formula:

xn = exp(-tn)

where tn is the nth time step.

The error can then be calculated as follows:

error = |xn - xn_exact|

As you can see, the errors are all zero. This is because the forward Euler method is an exact method for solving linear differential equations of the form dy/dt = f(t).

Note that the errors would not be zero if the differential equation were nonlinear.

Learn more about Euler method here:

brainly.com/question/30699690

#SPJ11

Answer:

Step-by-step explanation:

Well depends the shape

volume of a rectangular solid : V = length * width * height, or V = lwh.

volume of a triangular pyramid: V=13Ah

Volume of a cone: V=πr^2 h /3

etc..

The given p, α, and i using the exponentiation by squaring algorithm.

To prove that 2 is a primitive root of 11, to show that every integer a with 1 ≤ a ≤ 10 can be expressed as a ≡ 2²i (mod 11) for a unique i with 0 ≤ i ≤ 9.

verify this by checking the powers of 2 modulo 11:

2² ≡ 1 (mod 11)

2²≡ 2 (mod 11)

2² ≡ 4 (mod 11)

2³ ≡ 8 (mod 11)

2² ≡ 5 (mod 11)

2³ ≡ 10 (mod 11)

2³ ≡ 9 (mod 11)

2³ ≡ 7 (mod 11)

2² ≡ 3 (mod 11)

2³ ≡ 6 (mod 11)

The remainders obtained from the powers of 2 cover all the integers from 1 to 10 modulo 11. Additionally, each remainder is unique, express any integer between 1 and 10 as a power of 2 modulo 11.

To find log₂(9), to determine the exponent i such that 9 (mod 11). From the list of powers of 2 above, that 2³= 9 (mod 11). Therefore, log₂(9) = 6.

A given p, α, and i, where α is a primitive root of p and i is the discrete logarithm or index use the algorithm of exponentiation by squaring.

The algorithm for computing a given p, α, and i is as follows:

Set result = 1.

Initialize a binary representation of i, e.g., i = b[m]b[m-1]...b[1]b[0].

For j from m to 0:

a. Square the current result: result = result × result (mod p).

b. If bj = 1, multiply the current result by α: result = result × α (mod p).

Return the final result.

This algorithm takes advantage of the binary representation of i to compute a efficiently. By squaring the current result and multiplying by α only when necessary, compute a in logarithmic time complexity with respect to i.

To know more about squaring here

https://brainly.com/question/14198272

#SPJ4

Answer:

14 of the 24

9 of the 30

Step-by-step explanation:

14×24=336

9×30=270

Answer: 14 wood bats and 9 metal bats

Step-by-step explanation:

just use the multiples of 4 that end in 6 then multiply that by 24, subtract it from 606 then divide by 30 untik you get the amount sold