Determine any local or absolute extrema as indicated.g(x) = 9 - x2
A. Local minimum: 9; absolute minimum: 9
B. Local maximum: -9; absolute maximum: -9
C. No local extrema; absolute maximum: 9
D. Local maximum: 9; absolute maximum: 9
Answer: D
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Factor the difference of two squares. Assume that variables represent whole numbers.x4 - 64
A. (x2 - 8)2 B. (x2 + 8)2 C. (x2 + 8)(x2 - 8) D. prime
Identify the cut edges in the graph or say there are none.
A. DH B. None C. CF and DG D. CD
Provide an appropriate response.Consider the graphs of y = cos-1 x and y = sin-1 x. Does it make sense that the derivatives of these functions are opposites? Explain.
What will be an ideal response?
Find any relative maximum or minimum points of the given function.y = x3 - 3x2 + 1
A. Maximum at (0, 1), minimum at (2, -3) B. Minimum at (0, 1), maximum at (2, -3) C. Minimum at (2, -3) D. Maxima at (-2, -19), (0, 1), minimum at (2, -3)