Find the vertices and the foci of the given ellipse.
+ 
= 1
A. V: (0, -7), (0, 7);
F: (0, - 
) and (0, 
)
B. V: (0, 49), (36, 0);
F: (0, 7), (6, 0)
C. V: (-7, 0), (7, 0)
F: (- 
, 0), (
, 0)
D. V: (0, -49), (0, 49);
F: (0, -7), (0, 7)
Answer: A
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Find the average value of the function over the region.f(r, ?, z) = r2 over the region bounded by the cylinder r = 7 between the planes z = -9 and z = 9
A. 
B. 
C. 
D. 
?
Provide an appropriate response.For f(x) = x2 + 4x - 3: (a) Find f(0). (b) Find f(4).
A. (a) -3; (b) 29 B. (a) 0; (b) 35 C. (a) -3; (b) 35 D. (a) 0; (b) 29
Answer the question.Which of the following statements regarding the exponential function f(x) = ax is true?
A. The graph of f(x) = ax falls from left to right if a > 1 and rises from left to right if 0 < a < 1. B. The graph of f(x) = ax rises from left to right if a > 1 and falls from left to right if 0 < a < 1. C. The graph of f(x) = ax rises from left to right for any a > 0. D. The graph of f(x) = ax falls from left to right for any a > 0.
Write an expression in terms of the given variable(s) that represents the indicated quantity.The amount of bacteria after n minutes if the initial amount of bacteria is q and the amount of bacteria triples every minute.
A. 3qn B. q ? n3 C. q ? 3n D. q ? 33n