Rationalize the denominator. Assume that all variables represent positive real numbers.

A. 3 
B.  
C. 7
D.  


Answer: D

Mathematics

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Find all the first order partial derivatives for the following function.f(x, y, z) = cos x sin2 yz

A.  = -sin x sin2 yz;  = z cos x sin yz cos yz;  = y cos x sin yz cos yz
B.  = -sin x sin2 yz;  = 2z cos x sin yz cos yz ;  = 2y cos x sin yz cos yz
C.  = sin x sin2 yz;  = -2z cos x sin yz cos yz;  = - 2y cos x sin yz cos yz
D.  = sin x sin2 yz;  = - cos x sin yz cos yz;  = -cos x sin yz cos yz

Mathematics

Graph the polar equation.r2 = 51 sin 4?

A.

B.

C.

D.

Mathematics

Find the total surface area and the volume of the following right prism. (Round to the nearest tenth.)

A. T = 25 ft2, V = 5 ft3 B. T = 20 ft2, V = 4 ft3 C. T = 40 ft2, V = 8 ft3 D. T = 28 ft2, V = 7 ft3

Mathematics

Determine whether the relation defines y as a function of x. Give the domain.y2 = 6x

A. Not a function; domain: (-?, 0] B. Function; domain: (-?, ?) C. Not a function; domain: [0, ?) D. Function; domain: (-?, 0]

Mathematics