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Calculus

08/21/24

Create a cubic function

Create a cubic function that has f(-2) f(3) f(1) = 0 and f(2) = 12. Keep answer factored.

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Calculus

08/20/24

AREA word problem that I can not solve :((

A farmer is setting up separate pens for livestock by fencing off a rectangular area and running fence to create eight parallel pens. If the farmer has a total of 360 meters of fence, what is the... more

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Answers •3

Calculus

08/20/24

A mass attached to a vertical spring has position function given by where is measured in seconds and in inches. Find the velocity at time . in/s Find the acceleration at time . in/s2

A mass attached to a vertical spring has position function given by 𝑠(𝑡)=4sin(3𝑡) where 𝑡 is measured in seconds and 𝑠 in inches.Find the velocity at time 𝑡=4. in/sFind the acceleration at... more

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Answers •1

Calculus

08/20/24

Limit Evaluation

Lim x -> 1x^3 + x^2 + x - 3 all over (x-1) = ? (The answer will be an integer or whole number)

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Calculus

08/20/24

Inverse Derivative

For the function𝑓(𝑥)=5+4𝑥^3find the derivative of the inverse function 𝑓-1 at the point 𝑥=505.(𝑓^-1)′(505)=

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Calculus

08/19/24

Linear Approximation

Use linear approximation or the tangent line to approximate 1/ 0.254 as follows:Let f(x) = 1/x and find the equation of the tangent line to f(x) at nice points near 0.254. Then use this to... more

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Calculus

08/19/24

Finding the Area

A farmer is setting up separate pens for livestock by fencing off a rectangular area and running fence to create two parallel pens. If the farmer has a total of 600 feet of fence, what is the... more

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Calculus

08/18/24

if f(x) = 4x-x^2, find (f(x+h)-f(x-h))/2h

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Calculus

08/16/24

Use Newton's method to approximate a root of the equation 4sin(x)=x as follows

Use Newton's method to approximate a root of the equation 4sin(x)=x as follows. Let x1=1 be the initial approximation.

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Answers •2

Calculus

08/15/24

antiderivatives

Consider the function 𝑓(𝑡)=8sec2(𝑡)-9𝑡3. Let 𝐹(𝑡) be the antiderivative of 𝑓(𝑡) with 𝐹(0)=0.Then 𝐹(3)=

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Answers •1

Calculus

08/15/24

Antiderivatives

Consider the function 𝑓(𝑡)=8sec2(𝑡)-3𝑡3. Let 𝐹(𝑡) be the antiderivative of 𝑓(𝑡) with 𝐹(0)=0.Then 𝐹(3)=

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Calculus

08/15/24

Please help with this word problem

A small house was built on an island off a perfectly straight shoreline. The point B on the shoreline that is closest to the island is exactly 6 miles from the island. Eight miles east of B is the... more

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Calculus

08/15/24

Find the point on the line which is closest to the point .

Find the point on the line -4𝑥+6𝑦-4=0 which is closest to the point (4,5).Please give the steps in a clear order.

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Calculus

08/15/24

Find the point on the line which is closest to the point . ( , )

Find the point on the line 5𝑥+6𝑦+6=0 which is closest to the point (1,5).( , )

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Calculus

08/14/24

finding length of fence

A farmer is setting up separate pens for livestock by fencing off a rectangular area and running fence to create four parallel pens. If the farmer has a total of 1000 meters of fence, what is the... more

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Answers •2

Calculus

08/14/24

Hard word problem

A small house was built on an island off a perfectly straight shoreline. The point B on the shoreline that is closest to the island is exactly 7 miles from the island. Eight miles east of B is the... more

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Answers •2

Calculus

08/14/24

FInding feet of a wall

A fence 6 feet tall runs parallel to a tall building at a distance of 5 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall... more

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Answers •3

Calculus

08/14/24

Using points and equations

Find the point on the line 5𝑥 + 3𝑦 - 4 = 0 which is closest to the point (-5,-4).( , )show step by step example

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Answers •3

Calculus

08/14/24

Applied optimization

A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of... more

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Calculus

08/14/24

Width and height

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola 𝑦 = 11 - 𝑥^2. What are the dimensions of such a rectangle with the greatest possible area?Width = Height... more

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Calculus

08/14/24

Applied Optimization

A farmer is setting up separate pens for livestock by fencing off a rectangular area and running fence to create six parallel pens. If the farmer has a total of 560 yards of fence, what is the... more

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Calculus

08/14/24

Use the integral test to find the sum of the series from 1 to infinity: ne^(-n^2)

I found the integral of xe^-x^2 to be -1/2 (e^(-x^2)) and am having trouble evaluating the limit as t goes to infinity of -1/2 e^(-t^2) +1/(2e)

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Calculus

08/12/24

How Derivatives Affect the Shape of a Graph 8

The function 𝑓(𝑥)=4𝑥+4𝑥-1 has one local minimum and one local maximum.This function has a local maximum at 𝑥= with value and a local minimum at 𝑥= with value

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Calculus

08/12/24

How Derivatives Affect the Shape of a Graph 5

Consider the function 𝑓(𝑥)=2𝑥+5/3𝑥+3. For this function there are two important intervals: (-∞,𝐴) and (𝐴,∞) where the function is not defined at 𝐴.Find 𝐴 For each of the following intervals, tell... more

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Calculus

08/12/24

How Derivatives Affect the Shape of a Graph 7

Consider the function 𝑓(𝑥)=8𝑥+7𝑥-1. For this function there are four important intervals: (-∞,𝐴], [𝐴,𝐵),(𝐵,𝐶], and [𝐶,∞) where 𝐴, and 𝐶 are the critical numbers and the function is not defined... more

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Create a cubic function

AREA word problem that I can not solve :((

A mass attached to a vertical spring has position function given by where is measured in seconds and in inches. Find the velocity at time . in/s Find the acceleration at time . in/s2

Limit Evaluation

Inverse Derivative

Linear Approximation

Finding the Area

if f(x) = 4x-x^2, find (f(x+h)-f(x-h))/2h

Use Newton's method to approximate a root of the equation 4sin(x)=x as follows

antiderivatives

Antiderivatives

Please help with this word problem

Find the point on the line which is closest to the point .

Find the point on the line which is closest to the point . ( , )

finding length of fence

Hard word problem

FInding feet of a wall

Using points and equations

Applied optimization

Width and height

Applied Optimization

Use the integral test to find the sum of the series from 1 to infinity: ne^(-n^2)

How Derivatives Affect the Shape of a Graph 8

How Derivatives Affect the Shape of a Graph 5

How Derivatives Affect the Shape of a Graph 7

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