Solve the problem.The annual population density of a species of insect after n years is modeled by a sequence. Suppose that the initial density of insects is 654 with r = 1.4. Write a recursive sequence that describes this data, where an denotes the insect density during year n.Find the terms a1 , a2 , a3 , ...... until you are able to interpret the results.
A. The population density increases by 60% per year.
B. The population density increases by 40% per year.
C. The population density decreases by 60% per year.
D. The population density decreases by 40% per year.
Answer: B
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Solve the problem.Find an upper bound for the error in estimating 
using the Trapezoidal Rule with n = 8 steps. Give your answer as a decimal rounded to four decimal places.
A. 0.6227 B. 0.3805 C. 0.2076 D. 0.3634
Multiply. Assume all variables represent nonnegative real numbers.
(
- 
)
A. x - 2x3 
B. x - 2x 
C. x - 6x
D. x - 8x 
Graph the function. Describe its position relative to the graph of the indicated basic function.f(x) = 3 - e-0.69x; relative to f(x) = ex
A. Moved up 3 unit(s);
stretched horizontally;
reflected across the x-axis
B. Stretched horizontally;
reflected across the y-axis;
moved up 3 unit(s)
C. Stretched horizontally;
reflected across x-axis,
reflected across y-axis
Moved up 3 unit(s);
D. Stretched horizontally;
reflected across x-axis,
reflected across y-axis;
moved up 3 unit(s)
Solve the equation f(x) = 0 analytically and then use the graph of y = f(x) to solve the inequalities f(x) < 0 and 
f(x) = (2)3x - 8x + 2
A. {3}; (-?, 3); [3, ?) B. ?; (-?, ?); ? C. ?; ?; (-?, ?) D. {3}; [3, ?); (-?, 3)