Determine which of the following equations is correct. dx =

A. 1/sin x + C
B. -cot x + C
C. cos x + C
D. sin x + C


Answer: B

Mathematics

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Use a spherical coordinate integral to find the volume of the given solid.The solid bounded below by the xy-plane, on the sides by the sphere  and above by the cone 

A. ?
B. 25?
C. ?
D. ?

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Simplify the expression. If any variables are present, assume that they are positive.

A.
B.
C. 3
D.

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Solve the problem.The diagram shows the roads connecting four cities. Write a matrix to represent the number of routes between each pair of cities without passing through another city.WYXZ

A.         
B.         
C.         
D.         

Mathematics

Graph f(x). State the domain, range, and horizontal asymptote of the function.f(x) = 5x

A. Domain: (-?, ?), range: (-?, 0)
Horizontal asymptote: y = 0

B. Domain: (-?, ?), range: (0, ?)
Horizontal asymptote: y = 0

C. Domain: (-?, ?), range: (-?, 0)
Horizontal asymptote: y = 0

D. Domain: (-?, ?), range: (0, ?)
Horizontal asymptote: y = 0

Mathematics