Factor completely. If a polynomial cannot be factored, say it is prime.x3 - 512
A. (x + 512)(x + 1)(x - 1)
B. (x - 8)(x2 + 64)
C. (x + 8)(x2 - 8x + 64)
D. (x - 8)(x2 + 8x + 64)
Answer: D
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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 all the first order partial derivatives for the following function.f(x, y) = ln 
A. 
= -ln
; 
= ln 
B. 
= 
; 
= 
C. 
= - 
; 
= 
D. 
= -ln 
; 
= ln 
Find the slope of the line through the points.(5, 2) and (4, 6)
A. 4
B. - 4
C. - 
D. 
For an arc length s, area of sector A, and a central angle ? of a circle of radius r, find the indicated quantity.A = 79.1 m2, r = 115.2 m, find ? in radian measure
A. 0.00596 radians B. 0.0238 radians C. 0.0187 radians D. 0.0119 radians