Use the graph to find the average rate of change.The Height of Sand in an Hourglass Time (seconds)

A. 1.3 mm/sec
B. 0.85 mm/sec
C. 1 mm/sec
D. 0.75 mm/sec


Answer: D

Mathematics

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Without graphing the function, determine its amplitude or period as requested.y = -5 sin xFind the amplitude.

A. 4?
B.
C. 5
D.

Mathematics

Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.y = xy = 2x

A. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 2, f(x) is not differentiable at x = 0. B. Since limx?0+ f '(x) = 2 while limx?0- f '(x) = 1, f(x) is not differentiable at x = 0. C. Since limx?0+ f '(x) = -2 while limx?0- f '(x) = -1, f(x) is not differentiable at x = 0. D. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 1, f(x) is differentiable at x = 0.

Mathematics

Multiply.(x2 + 8y)(x2 - 8y)

A. x4 - 16x2y - 64y2 B. x4 + 16x2y - 64y2 C. x4 - 16y2 D. x4 - 64y2

Mathematics

Use a spherical coordinate integral to find the volume of the given solid.The solid bounded below by the sphere  and above by the cone 

A. ?
B. ?
C. ?
D. ?

Mathematics