Find the moment or center of mass of the wire, as indicated.Find the center of mass of a wire that lies along the semicircle y = 
if the density of the wire is 
A. 
= 
?, 
= 
?
B. 
= 0, 
= 
?
C. 
= 0, 
= 
?
D. 
= 
?, 
= 
?
Answer: B
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Solve the problem.Suppose that R ={(x, y): 0 ? x ? 9, 0 ? y ? 8},R1 = {(x, y): 0 ? x ? 9, 0 ? y ? 7}, andR2 = {(x, y): 0 ? x ? 9, 7 ? y ? 8}. Suppose, in addition, that
dA = 5, 
dA = 9, and 
dA = 4.Use the properties of integrals to evaluate 
A. 45 B. 90 C. 0 D. 54
Provide an appropriate response.Let f(n) = 
- 
. What is f(n) approximately equal to as n gets large? Hint: Compute various examples on your calculator.
A. 
B. 
C. 
D. 
Find T, N, and B for the given space curve.r(t) = 
(1 + t)3/2i + 
(1 - t)3/2j + 
tk
A. T = 
i - 
j + 
k; N = 
i + 
j ; B = - 
i + 
j + 
k
B. T = 
i + 
j + 
k; N = 
i + 
j; B = 
i + 
j + 
k
C. T = 
i - 
j + 
k; N = 
i + 
j; B = - 
i + 
j + 
k
D. T = 
i - 
j + 
k; N = 
i + 
j; B = - 
i + 
j + 
k
Simplify the rational expression. Assume that no variable has a value which results in a denominator with a value of zero.
A. 
B. 
C. 
D. 