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Derivative Calculus Linear Approximation

11/17/18

Linear Approximation

The stopping distance for an automobile is F(s) = 1.1s + 0.054s2 ft, where s is the speed in mph. Use the Linear Approximation to estimate the change in stopping distance per additional mph... more

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Derivative Calculus Differentials Linear Approximation

11/17/18

Linear Approximation

Use differentials or Linear Approximation to approximate the value shown (note each method will give the same result for your chosen x = a)Cube root of 26.1(Round to four decimal places)

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Derivative Calculus Volume Optimization

11/13/18

I have some issues regarding this optimization problemA cylindrical garbage can with no top needs to hold 6 ft3 of garbage. What diomensions should the can have in order to minimize the amount of... more

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Derivative Calculus Limit Absolute Extrema

11/13/18

Find the absolute max and min if they exist

For f(x) = 2 + 3x - x3 over (-1,2).I found the first point is x = 1Then took the limit as x goes towards 2 from the left and got 0Then limit as x goes towards -1 from the right of the equation and... more

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Derivative Calculus Concavity First Derivative Test

11/13/18

Using First Derivative Test to find the solution for the problem

Hi, I got a Calculus problem I just want to verify that I got right Given f(x)=x^4 - 3x^3. Use the 1st Derivative Test to find the solution. a) Find all x coords of critical pts and possible... more

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Derivative Calculus Rectangle Dimensions

11/12/18

Dimensions of a Rectangle

The rectangular bird sanctuary with one side along a straight river is to be constructed so that it contains 32 km2of area. Find the dimensions of the rectangle to minimize the amount of fence... more

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Derivative Calculus Rectangle Dimensions

11/12/18

Dimensions of a Rectangle

A rectangular bird sanctuary is being created with one side along a straight riverbank. The remaining three sides are to be enclosed with a protective fence. If there are 36 km of fence available,... more

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Derivative Calculus Area Dimensions

11/12/18

Dimensions of a Rectangle

Find the dimensions of the rectangle of maximum area that can be formed from a 20-in.piece of wire.

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Derivative Math

11/11/18

Use interval notation to indicate where f(x) f ( x ) is concave up and down.

if f(x)=2/(x^2-4)Use interval notation to indicate where f(x) f ( x ) is concave up and down.

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Derivative Slope Rate Rate Of Change

10/28/18

Rate of Change for the value of y

If y'(8)=1/12, how much would you think y would change between x=8 and x=8.12? (Hint: y' measures the rate of change of y per unit of change of x)I tried to use y2-y1/x2-x1 and set it equal to 1/12... more

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Derivative Math Calculus Limit

10/24/18

Calculus: Finding x, Derivative and Limit

1) Find x if e5-6x = 5.2) Find derivative of g(x) = ex √x with respect to x.3) Evaluate following limit:lim ln(sin(x))x -> 0+

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Derivative Calculus

10/14/18

Find derivitive by implicit differentiation

Find dy/dx by implicit differentiation.tan−1(5x2y) = x + 2xy2

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Derivative Math

10/14/18

Helium is pumped into a spherical balloon at a constant rate of 3 cubic feet per second. How fast is the radius increasing after 4 minutes?

At what time (if any) is the radius increasing at a rate of 120 feet per second?

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Derivative Math Math Help

10/14/18

A 7.00-ft-tall man walks at 6.00 ft/s toward a street light that is 18.0 ft above the ground. At what rate is the end of the man's shadow moving when he is 15.0 ft from the base of the light?

Use the direction in which the distance from the street light increases as the positive direction.

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Derivative Math Business Calculus

10/14/18

assume x and y are functions of . Evaluate dy/dt for 3xy-5x+2y^3=-18 with the conditions dx/dt=-4, x=2, y=-1

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Derivative Calculus Implicit Differentiation

10/13/18

What is the Implicit Derivative of y = 2^(x^3 - 4)

For clarification, (x^3-4) doesn't translate to x^-1, instead it's read as x cubed minus 4

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Derivative Calculus Word Problem

10/05/18

Calculus Writing Project

Our jalapeño pepper plants have been producing peppers like there’s no tomorrow, and Sunrise Farms has starting baking jalapeño poppers to sell at the farmer’s market. During our experiments to... more

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Derivative Calculus Derivative Proof

07/11/18

find the function that would produce a derivative of y = x.

I don't know how where to start.

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Derivative Calculus Pre Calculus Derivatives

06/02/18

Derive the Equation

Let y=x^7-4x^5+8x^3-2x-7 Then y(2) is --- Then (dy)/(dx) is --- (d(2))/(dx) is --- The second derivative of y is --- and y''(2) is -----

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Derivative Calculus Precalculus Limits

05/21/18

Write the Derivative

Write the derivative ( formula for the slope of the graph) of f(x)= 2x2 + 5x Please show all work

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Derivative Derivatives

04/14/18

derivative of 1/ cuberoot of x , using limit defintion

deravitve of 1/ cuberoot of x , using limit defintion , with steps please

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Derivative Related Rates

03/18/18

related rates - Find the rate at which the diameter is increasing when the diameter is 20cm?

A spherical balloon is being inflated so that its volume is increasing at the rate of 10cm3/sec. Find the rate at which the diameter is increasing when the diameter is 20cm?

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Derivative Word Problem Related Rates Rates

03/17/18

Derivatives - find the rate at which the diameter is increasing when the diameter is 20cm

A spherical balloon is being inflated so that its volume is increasing at the rate of 10cm3/sec. Find the rate at which the diameter is increasing when the diameter is 20cm.

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Derivative Math Calculus

02/07/18

What are the coordinates of the relative extrema?

The derivative of function f is given by f'(x) = ((cos^2x)/x)-0.2 Note that this is the equation for the derivative of f, not for the function f itself. Find the x-coordinates of relative extrema... more

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Derivative

01/08/18

give an example of a continuous function which is not differentiable at x=2

I need an other answer other than |x-2| please.

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Linear Approximation

Linear Approximation

An Optimization Problem

Find the absolute max and min if they exist

Using First Derivative Test to find the solution for the problem

Dimensions of a Rectangle

Dimensions of a Rectangle

Dimensions of a Rectangle

Use interval notation to indicate where f(x) f ( x ) is concave up and down.

Rate of Change for the value of y

Calculus: Finding x, Derivative and Limit

Find derivitive by implicit differentiation

Helium is pumped into a spherical balloon at a constant rate of 3 cubic feet per second. How fast is the radius increasing after 4 ​minutes?

A 7.00​-ft-tall man walks at 6.00 ​ft/s toward a street light that is 18.0 ft above the ground. At what rate is the end of the​ man's shadow moving when he is 15.0 ft from the base of the​ light?

assume x and y are functions of . Evaluate dy/dt for 3xy-5x+2y^3=-18 with the conditions dx/dt=-4, x=2, y=-1

What is the Implicit Derivative of y = 2^(x^3 - 4)

Calculus Writing Project

find the function that would produce a derivative of y = x.

Derive the Equation

Write the Derivative

derivative of 1/ cuberoot of x , using limit defintion

related rates - Find the rate at which the diameter is increasing when the diameter is 20cm?

Derivatives - find the rate at which the diameter is increasing when the diameter is 20cm

What are the coordinates of the relative extrema?

give an example of a continuous function which is not differentiable at x=2

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Helium is pumped into a spherical balloon at a constant rate of 3 cubic feet per second. How fast is the radius increasing after 4 minutes?

A 7.00-ft-tall man walks at 6.00 ft/s toward a street light that is 18.0 ft above the ground. At what rate is the end of the man's shadow moving when he is 15.0 ft from the base of the light?