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 (-1, 0) and (1, ?); concave downward on (-?, -1) and (0, 1); inflection points
at -4, 0, and 4
B. Concave upward on (-?, 0); concave downward on (0, ?); inflection point at 0
C. Concave upward on (-?, -1) and (0, 1); concave downward on (-1, 0) and (1, ?; ); inflection points
at -1, 0, and 1
D. Concave upward on (-1, 0) and (1, ?); concave downward on (-?, -1) and (0, 1); inflection points
at -1, 0, and 1
Answer: D
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Solve the problem.Find the derivative of the function at the point
in the direction in which the function increases most rapidly.
A. 14 B. 7 C. 6 D. 21
Solve.When a principal P earns an annual interest rate r compounded yearly, the amount A after t years is A = P(1 + r)t. How long will it take for a principal to double at 8% compounded annually? Round to the nearest whole year.
A. t ? 10 years B. t ? 9 years C. t ? 5 years D. t ? 8 years
Solve by transforming the augmented matrix into row echelon form.
A. no solution B. (5, -5) C. (-5, 5) D. (-5, -5)
Find the vertex, the focus, and the directrix of the parabola.x2 - 8x - 8y + 8 = 0
A. V: ; F: (4, 1), D: y = -
B. V: (- 4, - 1); F: (4, 1); D: y = -3
C. V: ; F: (4, -3); D: y = 1
D. V: ; F: (4, 7); D: y = 9