Find the area of the specified region.Inside the circle r = a sin? and outside the cardioid r = a(1 - sin ?), a > 0

A. (2? - 3)
B. (6 - ?)
C. (4? - 3)
D. (3 - ?)


Answer: D

Mathematics

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Represent the data graphically.The radius of a cone of fixed volume is related to the height according to the following table:

A.

B.

C.

D.

Mathematics

Evaluate the integral.

A. x +  sin 3x +  sin 6x + C
B. x +  sin 3x +  sin 12x + C
C. x + 1 sin 6x +  sin 12x + C
D. x +  sin 6x +  sin 12x + C

Mathematics

Do not use a calculator. Find an exact value of s in the specified interval with the given circular function value.tan s = - 

A.
B.
C.
D.

Mathematics

Solve the problem.Suppose that certain bacteria can double their size and divide every 30 minutes. Write a recursive sequence that describes this growth where each value of n represents a 30-minute interval. Let a1 = 467 represent the initial number of bacteria present.

A. a1 = 467; an = 2 an-1  for n > 1.
B. a1 = 467; an = 2 an+1  for n > 1.
C. a1 = 467; an =  an-1  for n > 1.
D. an = 2 a1  for all values of n.

Mathematics