Suppose h (x) = ax³ + 11x². Determine a if h has an inflection point at x = 4. Show all your work. %3D

Q: Find the interval in which the function given by y = 4x3 - 6x2 -72x + 30 is decreasing.

A: Given: y=4x3-6x2-72x+30

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: To find the critical points we solve dy/dx=0

Q: Find the value of the constant k that makes the function continuous.

A: A function is relation between set of inputs and output. The piece-wise function is a function which…

Q: Approximate the value of the root of f(x)=-3x³+5x²+14x-16 near x=3 to within 0.05 of its actual…

A: Given : f(x)=-3x3+5x2+14x-16, to find the value of the root near x=3.

Q: Consider the following. 1 y = 3 – 3x2 + 8x + 1 Find the relative maxima, relative minima, and points…

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Q: Find all antiderivatives of function:  f (x) = 9x8

A: Anti-derivative of a function is given by the integration of the function.given function f(x)  -f(x)…

Q: Find the relative extrema of f (x) = 3x5 – 5x3 %3D

A: To find  The relative extremum of f(x).

Q: Find the extrema of f (x) = 2x3 − 15x2 + 24x + 7 on [0, 6].

A:

Q: Suppose the daily cost C of manufacturing is given by C(x)=80x+4800 now hte average daily cost is…

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Q: • 4x² If F(x) = e(5r²) dt, what is F'(x)? (Do not include "F'(x) =" in your answer.) 3x

A: If you like the solution then please give it a thumbs up.... The Answer is:           ∫3x4x2e5t2dt…

Q: Suppose that f(æ, y) = e-3x² – 4y? + y Then the maximum is

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Q: Given the function y = x2 + 10x + 21, what is the least possible value of y? %3D

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Q: Consider 6x + 1/(2x). When increasing/decreasing? It's decreasing on both sides of 0. Explain why…

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Q: Solve f(2) for f(x) = -4x + 3 %3D f(2) = [? ]

A: Put x= 2 in equation We get  - 4(2) + 3 -8 + 3 - 5

Q: 2. f(x) = 9x2 - 1 at x = 1

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Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: Find the antiderivative of f(x) = x³ – 6x +7

A: fx=x3-6x+7 to find the antiderivative, we need to take an integration Fx=∫ fxdx

Q: The antiderivative of the function f(x) .2+9x is. 8.

A: We use basic integration method to solve this Question

Q: At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

A: Question is solved.

Q: f(x) : 4 6 5

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Q: Find the local extrema for f(x) = „5/3 + 8x2/3

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Q: Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of…

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Q: Find the most general antiderivative of the function. f(x)= 8x-11/10

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Q: 6x + 6 If f(x) = find: %3D 4x + 4' f'(z) = f'(3) =

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Q: What is the domain of y=ln(x^2+3x−18)

A: Consider the given function

Q: Find the antiderivative of f(x)=x3−6x+7

A: Given: f(x)=x3-6x+7

Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: A software developer notices that the number y of downloads of an app (in thousands) is related to…

A: Given, y=2.6-0.4x Part a: We know that, Rx=yxRx=2.6-0.4xxRx=2.6x-0.4x2 Part b: To find the extremum…

Q: f (x) = 3.x5 5x3.

A:

Q: Locate the critical points and determine whether maxima, minima or inflection point. b. у %3D (x —…

A: Here we will find critical points and determine maxima, minima or inflection point,

Q: Find the maximum value of 5x2 - 4xy+ 8y subject to x+y? = 1..

A:

Q: #3 continued from the previous page... f(x) = x² – 5x² +7x-13 | Domain Range

A: Given : f(x) = x³ - 5x² + 7x - 13

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

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Q: Find the local extremum  f(x)=x3+3x2-9x+6

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Q: Suppose y = 3x + 2. What is fl.y if x increases by 3?

A: Given y = 3x +2, if x increases by 3, then we have to calculate the change in y.

Q: Calculate R5 for f(x) = 4x² + 8x over [-1, 1].

A: The given function is, f(x)=4x2+8x The interval is [-1,1] that is, -1,-35,-35,-15,-,15,15,15,35,35,1…

Q: What is g'(x) when g(x) = ln (x³ + 3x² + 5x + 6)?

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Q: An industrial psychologist conducts two efficiency studies at the Chilco appliance factory. The…

A: Please check further steps for solution.!

Q: The antiderivative of the function f(x) = .8 + 10x3 is. %3D

A:

Q: find all possible functions with the givenderivative. y' = 3x2 + 2x - 1

A: Definition used -     Function from derivative -         f(x)=∫f'(x)dx

Q: The total revenue in Php received from the sale of x units of children toy is given by R(x) = 3x² +…

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Q: 5) [ (x² +1)´dtan x3

A:

Q: Find the most general antiderivative of the function f(x) = 72° – 6x³ + 3x?.

A:

Q: 1 d.x x/1+ x6

A: LetI=∫1x1+x6dxPut1+x6=u                         (1)squaring on both side1+x6=u2x6=u2-1…

Q: find the maximum revenue for the function R(x)=356-0.9x^2

A:

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given: y = 2x2 -8x +9 To find: The extreme values of the function over it's natural domain, and…

Q: Find the în tervals of concavity of the function 2. f(x) = X²(x²+4x-18)

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Q: Find (f-1)'(a) for f(x) = V3x + 4 when a = 2. (Enter an exact answer.)

A:

Q: 10) f(x) = V3x – 1

A: Explanation of the solution is given below..

Q: b) Approximate the value of the root of f(x)=-3x+5x+14x-16 near X3D3 to within 0.05 of its actual…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation:…