Find the center of mass of the wire that lies along the curve r and has density ?.r(t) = (1 + 3t)i + j + 5tk, 0 ? t ? 1; ?(x, y, z) = x + z2
A. 
B. 
C. 
D. 
Answer: B
Mathematics
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Find the Jacobian for the given transformation.
A. 252u B. 252v C. 882v D. 882u
Mathematics
Solve the equation.
+ 1 = - 
A. 
B. 
C. 
D. 
Mathematics
Provide an appropriate response.For s3t3 + 2r2 - s2 = 2, the partial derivative 
evaluated at r = 1, s = 1, t = 1 is
A. - 
.
B. -2.
C. 0.
D. 4.
E. none of the above
Mathematics
Find the probability.The maker of a certain candy claims that the proportions of colors of candy produced are: 
0.1 purple and 0.6 yellow. Suppose a candy is selected randomly from each of two 
bags. What is the probability that one is green and the other is blue?
A. 0 B. 0.99 C. 0.2 D. 0.01
Mathematics