The graph of a function f is given. Use the graph to answer the question.Find the numbers, if any, at which f has a local minimum. What are the local minima?

A. f has no local minimum
B. f has a local minimum at x = -? and ?; the local minimum is -1
C. f has a local minimum at x = 0; the local minimum is 1
D. f has a local minimum at x = -?; the local minimum is -1


Answer: B

Mathematics

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A.
B.
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D.

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Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at  and . The cross sections perpendicular to the x-axis between these planes are squares whose bases run from the parabola  to the parabola .

A. 1568 B. 1536 C. 784 D. 196

Mathematics

Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex.f(x) = x2 + 14x + 1

A. f(x) = (x - 7)2 + 148 vertex: (7, 148) B. f(x) = (x - 14)2 + 393 vertex: (14, 393) C. f(x) = (x + 7)2 - 48 vertex: (-7, -48) D. f(x) = (x + 7)2 - 146 vertex: (-7, -146)

Mathematics

Given A = 59°, B = 79°, and a = 7.1, use the Law of Sines to solve the triangle for the value of b. Round your answer to two decimal places. ?

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Mathematics