Graph the integrand and use geometry to evaluate the integral.
A. 36
B. 6?
C. 36?
D. 18?
Answer: D
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Tell whether the fractions are equivalent or not equivalent.
and 
A. Equivalent B. Not equivalent
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 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
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 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
The table shows, for some particular year, a listing of several income levels and, for each level, the proportion of the population in the level and the probability that a person in that level bought a new car during the year. Given that one of the people who bought a new car during that year is randomly selected, find the probability that that person was in the indicated income category. Round your answer to the nearest hundredth. 
$40,000 - $49,999
A. 0.22 B. 0.25 C. 0.21 D. 0.17
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis.
