Use the properties of limits to help decide whether each limit exits. If a limit exists, find its value.Let f(x) = 
. Find
f(x).
A. 1
B. 8
C. 3
D. Does not exist
Answer: A
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Find the value of (f ? g)' at the given value of x.Assume that f'(3) = 8 , g'(4) = -6, g(4) = 3, and y = f(x). What is y' at x = 4?
A. -48 B. 24 C. 8 D. -30
Multiply the real numbers. Write any improper fraction as a whole or mixed number where appropriate.
A. 10
B. 
C. - 10
D. - 
For the following two concentric circles, what would the radius of the larger circle need to be in order for the area of the inner circle to equal the shaded area between the two circles?
Solve the problem.Player R has two cards: a red 2 and a black 8. Player C has three cards: a red 3, a black 5, and a black 10. They each show one of their cards. If the cards are the same color, C receives the larger of the two numbers. If the cards are of different colors, R receives the sum of the two numbers. The payoff matrix is : 
Find the optimal strategy for player R.
A. 
= 
B. 
= 
C. 
= 
D. 
= 