Simplify the expressions. Remove all negative and zero exponents. Assume all expressions are defined.






Mathematics

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Solve the problem.Does the graph of the function y = 6x + 3 sin x have any horizontal tangents in the interval  If so, where?

A. Yes, at x = , x = 
B. Yes, at x = 
C. Yes, at x = , x = 
D. No

Mathematics

Solve the problem.Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = ex, and the line x = ln 8 about the line x = ln 8.

A. 2?(8 - ln 9) B. 2?(7 + ln 8) C. 2?(7 - ln 8) D. 2?(8 - ln 8)

Mathematics

Determine the amplitude and range of the function and sketch its graph.y = 3 cos 3?x

A. amplitude: 3; range: [0, 3]

B. amplitude: 3; range: [-3, 3]

C. amplitude: 3; range: [-3, 3]

D. amplitude: 3?; range: (-?, ?)

Mathematics

Graph the rational function.f(x) =  

A.

B.

C.

D.

Mathematics