Find the mass of the wire that lies along the curve r and has density ?.r(t) = 3i + (4 - 4t)j + 3tk, 0 ? t ? 2? ; ? = 8(1 + sin 2t)
A. 80 + 80? units
B. 16? units
C. 40 + 80? units
D. 80? units
Answer: D
Mathematics
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over the given region D. DD is the right circular cylinder whose base is the circle 
in the xy-plane and whose top lies in the plane 
.
A. 
B. 
C. 
D. 
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Find A - B.
a. 
b. 
c. 
d. 
e. 
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Factor the polynomial completely.-45y2 + 32x2 + 4xy
A. (4x + 5y)(8x - 9y) B. (8x - 5y)(4x + 9y) C. (4x - 5y)(8x + 9y) D. (4x - 9y)(8x - 5y)
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Use the summation properties to evaluate the series. The following rules may be needed: 
. 
A. - 65 B. - 85 C. - 45 D. - 33
Mathematics