Suppose that the function with the given graph is not f(x), but f'(x). Find the locations of all extrema, and tell whether each extremum is a relative maximum or minimum. 

A. Relative minimum at -4
B. Relative maximum at -2; relative minimum at 2
C. Relative minimum at -2; relative maximum at 2
D. Relative maxima at -2 and 2


Answer: B

Mathematics

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Find an equation for the sphere with the given center and radius.Center (0, 0, 6), radius = 10

A. x2 + y2 + z2 - 12z = 64 B. x2 + y2 + 10 z2 - 12z = 64 C. x2 + y2 + z2 + 12z = 64 D. x2 + y2 + 10 z2 + 12z = 64

Mathematics

A partial payment is made on the date(s) indicated. Use the United States Rule to determine the balance due on the note at the date of maturity. (The Effective Date is the date the note was written.) Assume the year is not a leap year. 

A. $255.45 B. $255.70 C. $251.74 D. $245.67

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Factor the difference of two squares.81x2 - 1

A. (9x - 1)2 B. (9x - 1)(9x + 1) C. prime D. (9x + 1)2

Mathematics

Apply row operations to the augmented matrix to find the solution to the linear system.

A. x = 8, y = 8, z = 6 B. x = 8, y = -8, z = 6 C. x = -8, y = 8, z = 16 D. x = 8, y = 6, z = 8

Mathematics