Use the rules for exponents to rewrite the expression and then evaluate the new expression. 
A. 0
B. -12
C. 1
D. -4
Answer: C
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Find the length and direction (when defined) of u × v.u = 2i + 8j , v = i - j
A. 10; -k B. 10; -10k C. 6; 6k D. 6; -6k
By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit L and the smallest integer N such that 
for 
otherwise indicate divergence.an = n tan 
A. L = 1, N = 28 B. L = 1, N = 6 C. L = 0, N = 28 D. diverges
Find the equation for the plane tangent to the parametrized surface S at the point P.S is the cylinder r(?, z) = 10 cos2 ?i + 5 sin 2?j + zk; P is the point corresponding to 
.
Fill in the blank(s) with the appropriate word(s).
Use the half-angle formulas to evaluate the given function.sin 22.5°
A. 0.1951 B. 0.9238 C. 0.3827 D. 0.5412