Find the vertices and foci of the given ellipse.5x2 + 7y2 = 15
A. Vertices: (
, 0) and (-
, 0);
Foci: 
and 
B. Vertices: (0, 3) and (0, -3);
Foci: 
and 
C. Vertices: (
, 0) and (-
, 0);
Foci: 
and 
D. Vertices: (0, 
) and (0, -
);
Foci: 
and 
Answer: C
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For the given function:a) Describe an appropriate domain and range for the function.b) Make a rough sketch of a graph of the function. c) Briefly discuss the validity of your graph as a model of the true function.(miles ran per week, 5K time)
What will be an ideal response?
Solve.
+ 
= 4
A. -2
B. 0
C. 2, -2
D. 
, -2
Solve the problem.The surface area S (in square inches) of a cylindrical pipe with length 12 inches is given by S(r) = 2?r2 + 24?r, where r is the radius of the piston (in inches). If the radius is increasing with time t (in minutes) according to the formula r(t) = 
t2, t ? 0, find the surface area S of the pipe as a function of the time t.
What will be an ideal response?
Find the expected value.A fair coin is tossed three times, and a player wins $3 if 3 tails occur, wins $2 if 2 tails occur and loses $3 if no tails occur. If one tail occurs, no one wins. What is the expected value of the games?
A. $0.75 B. $2.00 C. -$3.00 D. $3.00