Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = x10 sin x

A. x sin x
B. 10 sin x ln x
C. 10 x10 sin x
D. 10 cos x ln x + 


Answer: C

Mathematics

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Use cylindrical coordinates to find the volume of the indicated region.the region bounded by the cylinders   and the planes  

A. 192? B. 768? C. 384? D. 576?

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First, rewrite each equation in exponential form. Then, use a table of coordinates and the exponential form to graph the logarithmic function. Begin by selecting -2, -1, 0, 1 and 2 for y. Finally, based on your graph, describe the shape of a scatter plot that can be modeled by f(x) = log b x, 0 < b < 1.y = log1/7  x

A.

increasing
B.

decreasing, 
although rate of decrease is slowing down
C.

increasing, 
although rate of increase is slowing down
D.

decreasing, 
although rate of decrease is slowing down

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Find the special products using patterns.(9a - 10)2

A. 9a2 - 180a + 100 B. 81a2 - 180a + 100 C. 81a2 + 100 D. 9a2 + 100

Mathematics

The eccentricity is given of a conic section with one focus at the origin, along with the directrix corresponding to that focus. Find a polar equation for the conic section. e = 5, y = -8

A. r = 
B. r = 
C. r = 
D. r = 

Mathematics