Sketch the graph of the polar equation. Identify the curve.r = 6 sin ?
A. circle
B. circle
C. circle
D. circle
Answer: D
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Indicate whether the graph of the equation is a circle, an ellipse, a hyperbola, or a parabola. Then graph the conic section.x = -y2 + 4y
A. ellipse
B. hyperbola
C. circle
D. parabola
Calculate the average rate of change of f on each interval. What happens to this average rate of change as the interval decreases in length?f(x) = -4x2 + x4
(i) [-2.1, -1.9] (ii) [-2.01, -1.99] (iii) [-2.001, -1.999]
A. (i) 0.04; (ii) 0.0004; (iii) 0.000004; approaches 0. B. (i) -0.04; (ii) -0.0004; (iii) -0.000004; approaches 0. C. (i) -79.1995; (ii) -799.92; (iii) -7999.992; approaches 0. D. (i) -7.92395; (ii) -7.99920400; (iii) -7.99999200; approaches -8.
Solve the problem.The accompanying tables represent a function f that converts seconds to hours and a function g that converts hours to days.Express (f -1?g -1)(x) symbolically.
A. (f -1?g -1)(x) =
B. (f -1?g -1)(x) =
C. (f -1?g -1)(x) = 86,400x
D. (f -1?g -1)(x) = 86,400x2
Solve the problem.How long must $4200 be in a bank at 8% compounded annually to become $10,576.31? (Round to the nearest year.)
A. 11 yr B. 13 yr C. 12 yr D. 14 yr