The following applet shows the graph of f(x) = 1.5", f(x). Use the applet to vary the value of x where y = and pay attention to the output value. рay

Q: Examine the following functions for maxima-minima and trace the curve a. Y=x* + 1 a?x b. Y= a² –x²

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Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

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Q: Consider the function y = f(x) with the graph below. %3D

A: The given graph is

Q: Explain why the graph of h(r) = Vtr can be interpreted as a horizontal stretch of the graph of f(x)…

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Q: Find the maximum sustainable harvest of the given function. f(S) = 24S025, where S is measured in…

A: Consider the given function fS=24S0.25 , where S is measured in thousands Suppose HS be the harvest…

Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: Use the given graph of the function to find the r-values for which f is not differentiable.

A: The function fx is not differentiable at any point x=c, in the following cases, 1) fx is not…

Q: Find the value of the constant bl that makes the following function continuous on (-∞, ∞). if x 6|…

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Q: Consider the following function. f(x) = -x2 - 14x – 2 Find its average rate of change over the…

A: The formula for average rate of change of a function fx over a interval a,b is given as, Average…

Q: Find Fxxygy for the function Fory)-J*J€nx-x]

A: We havr to find the derivative.

Q: For the function f(x) = |x2 − 4|, find the critical points, test them to find extreme values. Which…

A: According to the given information, it is required to determine the extreme values of the function.

Q: How do you use the graph of f(x) shown to the right to find the following, if they exist. If a…

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Q: Let L(x) be the linearization of the cube root function at x=8. When using L(x) to approximate the…

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Q: Consider the function. f(x) = 9x2 – 2, x = 1 to x = 2 Find the area (in square units) under the…

A: As we know that the area under the curve f(x) is : Area=∫abf(x)dx

Q: Calculate L6 for f(x) = v7x + 2 over [1,3]. (Give your answer to three decimal places.)

A: The given function is fx=7x+2 and the interval is 1,3. Obtain the length of the rectangle as…

Q: The cube root parent function y = Vx has been transformed a) 2.

A: given graph

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

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Q: usider the following. y = 4x3 - 36x2 + 5 %3D (a) Find the critical values of the function. (0,5),(6,…

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Q: +V2x y =

A: According to the chain rule of differentiation:

Q: y = V4x3 –6

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Q: The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following…

A: (a) The function representing the marginal revenue is R'(x)=4xx2+26,000-23 (in thousands of dollars)…

Q: . What effect does a vertical stretch or compression have on the y values of a function? What effect…

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Q: Use the graph of f(x) above to estimate the value of f'(0) to one decimal place. f'(0)=

A: From the given graph , it is observed that the function should be of the form fx=ax3 where a is some…

Q: For the following exercises, find the local and absolute minima and maxima for the functions over…

A: the given function is

Q: . Give a function f (x) which tends to 0 as x tends to infinity.

A: We have to find a function which tends to 0 as x tends to infinity.

Q: X- e.

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Q: The height of an arch above the ground is given by the function y=10sinx, for 0 <= x<= pi .…

A: The given interval is [0,π] So, a=0, b= π

Q: Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)

A: Find the approximation L6 for the function fx=9x+3 over [1,3].

Q: For what x-value is the function y = |x+5| not differentiable?

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Q: the demand x is the number of items that can be sold at a price of $p. for x = p^3 - 5p + 1300,…

A: Given that  x = p^3 - 5p + 1300  To find the rate of change with respect to x by differentiating…

Q: Differentiate the function. y = In(12 + t – t31)

A: We have to find derivative

Q: Calculate L6 for f(x) = v5x + 3 over [1,3]. (Give your answer to three decimal places.) L6 =

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Q: The derivative of f is xʻ(x-2Xx+3). At how many points will the graph of ƒ have a relative maximum?…

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Q: 29. h (x) = 5 – 2x² on [–2, 4] |

A: The given function is  h(x) = 5 - 2x2           [-2, 4]

Q: The graph of f(x) = |x| is reflected over the x-axis, shifted vertically up 1 unit, horizontally 3…

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Q: Consider the function f(x)=/25-x² . Is L(x) an overestimation or an underestimation of ƒ(x) near…

A: Differentiate the function fx=25-x2 with respect to x, to find f'(x) and f''(x). Calculate f(3) and…

Q: Make a graph of the functionƒ(x) , for x ≥ 1. Be sure to include all of the evidenceyou used to…

A: Given:  The function fx=∫1xdtt for x≥1, To sketch: The graph of fx for x≥1,

Q: Use the graph of f(x) above to estimate the value of f'(0) to one decimal place.

A: The graph of f(x) has a vertical tangent at the point (0,f(0)).

Q: arke

A: please refer to the image below

Q: For which values of x does the graph of  f(x) = 8x3 - 12x2 - 24 have a horizontal tangent? Enter…

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Q: There is a bacteria cell in a Petri dish that is reproducing at a rate of              r(t) = 2t^2+1…

A: Solution:

Q: 1 Is the function given by f(x) = ) 5x+1, for x s5, continuous at x= 5? Why or why not? %3D 5x- 19,…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: Find the lineearization L(x) of the function f(x) = x^3/4 at x = 16.

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Q: The average change of the function y = √x from x = 4 to x =16 is _________________ ?

A: The given function y=sqrt(x). We need to find the average change of function over interval [4,16].

Q: The average value of the function f(x)=x² on the interval [0 , b] is 12 What is the value of b ?…

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Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

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Q: Use the given graph of the function to find the x-values for which f is differentiable. not 1,0

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Q: Match the below functions to their graphs on the right: a. f(x) = vx b. f(x) = |x| C. f(x) = x? %3D

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Consider the following function. f(x) = -x2 - 10x – 9 Find its average rate of change over the…

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