Find the work done by F over the curve in the direction of increasing t.F = 
i + j + 8k; C: r(t) = t9i + t7j + tk, 0 ? t ? 1
A. W = ln
+ 
B. W = ln
C. W = ln
+ 15
D. W = ln
+ 
Answer: A
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For the series given, determine how large n must be so that using the nth partial sum to approximate the series gives an error of no more than the stated error.
; En ? 0.0002
A. 600 B. 300 C. 3000 D. 1500
Answer each question appropriately.If differentiable functions y = F(x) and y = G(x) both solve the initial value problem 
on an interval I, must 
for every x in I? Justify the answer.
A. F(x) = G(x) for every x in I because integrating f(x) results in one unique function. B. F(x) = G(x) for every x in I because when given an initial condition, we can find the integration constant when integrating f(x). Therefore, the particular solution to the initial value problem is unique. C. F(x) and G(x) are not unique. There are infinitely many functions that solve the initial value problem. When solving the problem there is an integration constant C that can be any value. F(x) and G(x) could each have a different constant term. D. There is not enough information given to determine if F(x) = G(x).
Find the area.
A. 11,858 m2 B. 10,375.75 m2 C. 16,304.75 m2 D. 211.75 m2
?Write the expression 
as the logarithm of a single quantity.
A. ?
B. ?
C. ?
D. ?
E. ?