If $1 is invested in an account over a 10-year period, the amount in the account, where t represents the time in years, is given by
depending on whether the account pays simple interest at
or continuous compound interest at 7%. Graph each function on the same set of axes. Which grows at a higher rate?
?
A. ?
B. ?
C. ?
?
D. ?
E. ?
Answer: A
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Suppose that the function with the given graph is not f(x), but f'(x). Find the open intervals where the function is concave upward or concave downward, and find the location of any inflection points.
A. Concave upward on (-?, -2) and (2, ?); concave downward on (-2, 2); inflection points at -120 and 120 B. Concave upward on (-?, 0); concave downward on (0, ?); inflection point at 0 C. Concave upward on (-?, -2) and (2, ?); concave downward on (-2, 2); inflection points at -2 and 2 D. Concave upward on (-2, 2); concave downward on (-?, -2) and (2, ?); inflection points at -2 and 2
Solve the differential equation using the method of undetermined coefficients.
Convert from decimal degrees to degree-minute-second form.
8.3503°
Determine the slant asymptote of the graph of .
?
A.
B.
C.
D.
E. no slant asymptotes