Identify the equation as either an identity or not.tan2x = sec2x - sin2x - cos2x
A. Not an identity
B. Identity
Answer: B
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Find the volume of the described solid.The base of a solid is the region between the curve y = 5cos x and the x-axis from x = 0 to x = ?/2. The cross sections perpendicular to the x-axis are squares with diagonals running from the x-axis to the curve.
A. 6?
B. 
?
C. 
?
D. 
?
Find the center of mass of a thin plate of constant density covering the given region.The region enclosed by the parabolas y = - x2 + 18 and y = x2
A. 
= 0, 
= 18
B. 
= 0, 
= 
C. 
= 0, 
= 9
D. 
= 9, 
= 0
Tracy purchased a 15-year franchise for a computer outlet store that is expected to generate income at the rate of
?
?
dollars/year. If the prevailing interest rate is 10% /year compounded continuously, find the present value of the franchise. (Hint: Use the formula of the present value 
.) Please round the answer to the nearest cent.
?
$__________
Fill in the blank(s) with the appropriate word(s).
Solve the system of equations.
A. {(0, -1, 1)} B. {(-1, 0, -1)} C. {(0, -1, 0)} D. {(0, 0, -1)}