Solve the problem.Find the sum of the series 
by expressing 
as a geometric series, differentiating both sides of the resulting equation with respect to x, multiplying both sides by x, differentiating again, and replacing x by 
.
A. 
B. 
C. 
D. 
Answer: A
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Find the mean, median, and mode for each set of numbers.5, 3, 1, 9, 5, 3, 6, 3, 3, 7
A. Mean = 4.5, Median = 4, Mode = 3 B. Mean = 4.5, Median = 3, Mode = 4 C. Mean = 4, Median = 4.5, Mode = 3 D. Mean = 4, Median = 4.5, Mode = 4
Divide as indicated.
A. x + 7 + 
B. 
C. x + 7 - 
D. x + 8
Solve the problem.Given an algae population in a certain pond, x (in millions), f(x) models the frog population in the pond (in thousands). (i) Use the graph of f to estimate the number of algae in the pond when there are 29 thousand frogs in the pond; (ii) Estimate f(x) at 2, 3, 5, 6 and 7; (iii) Use regression and the points you estimated to find a quartic polynomial function f that models the data points; (iv) Use f(x) to solve part (i) either graphically or numerically. 
A. (i) about 1 million
(ii) 
(approximately; answers may vary);
(iii) f(x) ? -0.18x4 + 3.27x3 + 20.02x2 + 55.93x - 46.00;
(iv) x ? 1.1 million algae when f(x) = 29 thousand frogs
B. (i) about 7 million
(ii) 
(approximately; answers may vary);
(iii) f(x) ? -0.18x4 + 3.27x3 - 20.02x2 + 51.93x - 44.00;
(iv) x ? 7.3 million algae when f(x) = 29 thousand frogs
C. (i) about 5 million
(ii) 
(approximately; answers may vary);
(iii) f(x) ? -0.18x4 + 3.77x3 - 20.02x2 + 41.93x - 44.00;
(iv) x ? 5.1 million algae when f(x) = 29 thousand frogs
D. (i) about 1 million
(ii) 
(iii) f(x) ? 0.16x4 + 3.77x3 + 20.02x2 + 51.93x - 44.00;
(iv) x ? 1.5 million algae when f(x) = 29 thousand frogs
Solve the problem.When making a telephone call using a calling card, a call lasting 5 minutes costs $1.50. A call lasting 12 minutes costs $2.90. Let y be the cost of making a call lasting x minutes using a calling card. Write a linear equation that models the cost of making a call lasting x minutes.
A. y = -0.2x + 2.5
B. y = 5x - 
C. y = 0.2x + 0.5
D. y = 0.2x - 9.1