The function f(x) is defined in the region, 0 < x < 8, as follows 0< x≤4 (x) = { 2² 4

Q: List the critical numbers of the following function separating the values by commas. f(x) = 5x² + 3x

A: We can find the critical numbers as below.

Q: Let f(x) = (x²-8x+6 (4x+9 for x ≤6 for x > 6 Find the value of f(7). A. 34 C. - 7 Select one: Ο Α O…

A: The objective of this question is to evaluate the value of a piecewise function at a given point. A…

Q: Let f be the function defined above, where k is a constant. f(x) = x²+kx-2 3x²+4x+3 x³ + 2 0 2e 2-e…

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Q: 16) Analyze the following graph of f(x). Find the intervals over which the function is concave up.…

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Q: for a 16 a. Determine the differentiability of the function at z = -2 and a = 8. Explain why the…

A: We are given with function d(x) for x=-2 , we use the first function  d(x)=|4-x2| When we graph the…

Q: Find the values of m and n such that the function f defined by is continuous. m = Number n= Number…

A: We have to find out

Q: Find the values of a andb that makef continuous everywhere. x² – 4 if x 3 a = Il ||

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Q: 1. Find the value of c to make the following piecewise function continuous on the the interval (-o,…

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Q: Let f(x) = 7x-175 In (x). The critical points of f are: Enter a comma-separated list of exact…

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Q: Find the value of b such that the function f is continuous everywhere. ƒ(x) = b |5-x| x² - 7x + 10…

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Q: cx? + 7x if x 4

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Q: 4. Find the perimeter of a rectangle whose area is 84 m². The length is 5 m more than its width.

A: Let the length is L and width is b. Given: L=b+5 Area of a rectangle=84m2 As we know that the area…

Q: - Given f(x) = 2x³ – 3x² – 180x + 5. Determine the intervals in which f is increasing I decreasing,…

A: Solution: The objective is to find the intervals in which f is increasing or decreasing, local…