Find the arc length parameter along the curve from the point where t = 0 by evaluating 
r(t) = (1 + 3t)i + (1 + 4t)j + (2 - 2t)k
A. 
t
B. 2
t
C. 5t
D. 
t
Answer: D
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Find the gradient field F of the function f.f(x, y, z) = (x7y2 - y5z3)e-z2
A. F = 7x6y2e-z2i + (2x7y - 5y4z3)e-z2j + (3 - 2z2)y5z2e-z2k B. F = 7x6y2e-z2i + (2x7y - 5y4z3)e-z2j + y2ze- z2[y3z(2z2 - 3) - 2x7]k C. F = 7x6i + (5y4 - 2y)j + 2z4e-z2k D. F = 7x6y2i + (5y4z3 - 2x7y)j + (2z2 - 3)y5z2k
Find the missing quantities. If there is no operating loss or absolute loss, write "none."
A. Cost = $103 Reduced price = $91 Operating loss = $30 B. Cost = $133 Reduced price = $127 Operating loss = $6 C. Cost = $103 Reduced price = $91 Operating loss = none D. Cost = $139 Reduced price = $127 Operating loss = $18
Find numbers a and b, or k, so that f is continuous at every point.
A. k = -3 B. k = 12 C. k = 6 D. impossible
Perform the indicated operations.(10x9 + 10x6 - 2x2 + 3) - (2x9 - 2x4 + 6x2 - 3)
A. -8x9 + 10x6 - 2x4 - 8x2 + 6 B. -8x9 + 10x6 + 2x4 - 8x2 + 6 C. 8x9 + 10x6 - 2x4 - 8x2 + 6 D. 8x9 + 10x6 + 2x4 - 8x2 + 6