Rationalize the denominator and simplify. Assume that variables represent positive values.

A.
B.
C.
D.


Answer: C

Mathematics

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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (x - ex cos y)i + (x + ex sin y)j; C is the lobe of the lemniscate r2 = sin 2? that lies in the first quadrant.

A.
B. 1
C. 0
D.

Mathematics

Prove that the equation is an identity.sec3 x cos x  - 1 = tan2x

What will be an ideal response?

Mathematics

Solve the problem.A wheel with radius 3 m rolls at 20 rad/s. How fast is a point on the rim of the wheel rising when the point is  radians above the horizontal (and rising)? (Round your answer to one decimal place.)

A. 15.0 m/s B. 30.0 m/s C. 60.0 m/s D. 120.0 m/s

Mathematics

Find the limit of the sequence if it converges; otherwise indicate divergence.an = 

A.
B. -6
C.
D. Diverges

Mathematics