For the function given, determine the following for x-0.5 and step size h=0.25. f(x) = -0.1x* – 0.15x³ – 0.5x² – 0.25x + 1.2 %3D

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A: answer is in next step

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A: Given: fx=3x2+x-3 To find rate of change of f(x) at x=1

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Q: maximum revenue for the revenue function  R(x) = 372x − 0.7x2.  (Round your answer to the nearest…

A: Please refer to the image below

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Q: Find the points on the graph of the function that are closest to the given point. F(x)=x², (0, 9)…

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Q: Find the maximum revenue for the revenue function  R(x) = 398x − 0.9x2.

A: Given revenue function R(x) = 398x − 0.9x2

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Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

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A: Now, we are given the function : h(x)=x2+2x-2 Average rate of change of a given function f(x) over a…

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Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x>6 Since the function is a polynomial function for all x<6…

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Q: 1. Given the function f(x)=(1+x*)*, find f'(). (to three decimals accuracy)

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Q: Given the function h(x) = x² – 7x + 6, determine the average rate of change of the function over the…

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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: 1. Plot the function f(t): (x+5) for -35 x 5. 4+3x2

A: Plotting graph by finding slope.

Q: 16. Find the range of the function y = 1+ x2

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A: We have given the function;

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A: the given function is

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A: We are asked to list in increasing order

Q: 6.The parent function f(x)= /x is translated 2 units right, compressed vertically by a factor of 2,…

A: Find the solution below

Q: For the function given, determine the following for x-0.5 and step size h=0.25. f(x) = -0.1x4 –…

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

A: Given function  y=x2+x+6x-1 For Finding Extremum Point of Function 1. Evaluate ƒ at all critical…

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Q: Suppose the dimensions of the cardboard in Example 2 are 20 in. by 30 in. Let x be the side length…

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Q: For the function given, determine the following for x-0.5 and step size h3D0.25. f(x) = -0.1x* –…

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Q: For the following exercise, find the average rate of change of each function on the interval…

A: We will find the average rate of change of given function as shown below

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Q: For the function f whose graph is shown, list the following quantities in increasing order,from…

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Q: For the function given, determine the following for x-0.5 and step size h-D0.25. f(x) = -0.1x* –…

A:

Q: y = 1(x − x^2) over (0,1)

A: Let the function be, y=x-x2 Differentiate the function y=x-x2 with respect to x. dydx=1-2x Put 1-2x…

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 7)…

A: Consider the provided function and the point, fx=x2,  0,7 Find the points on the graph of the…

Q: For the following question, use the function h= - 16r + vgl + hg, where h is the height of the…

A: Consider the function, ht=-16t2+v0t+h0Where,  h  is  the  height  of  the  object  after  time  t,…