The following table shows the length L, in inches, and the flying speed S, in feet per second, of certain flying animals. Use power regression to model the flying speed as a function of the length. Use two digits of accuracy for the coefficient and for the power.
L 0.56 3.96 4.08 47.85 62.1 S 21.57 36.57 39.23 61.07 74.12?
A. ?
B. ?
C. ?
D.
Answer: D
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Use the linear approximation (1 + x)k ? 1 + kx, as specified.Find an approximation for the function f(x) = for values of x near zero.
A. f(x) ? 1 - 2x B. f(x) ? 1 + 2x C. f(x) ? 2 - 2x D. f(x) ? 2 + 2x
Solve the problem.Lookout station B is located 12 mi due east of station A. The direction of a fire from A is and the direction from B is
Determine the distance from the fire to B (to the nearest tenth of a mile).
A. 12.45 mi B. 14.45 mi C. 24.9 mi D. 26.9 mi
Use the two given functions to write y as a function of x.y = 6m2 + 7, m = x - 4
A. y = 6x2 - 48x + 103 B. y = 6x2 - 8x + 23 C. y = 6x2 - 48x + 96 D. y = 6x2 + 103
Find the curvature of the curve r(t).r(t) = (6 + 5 cos 9)t i - (1 + 5 sin 9t)j + 8k
A. ? = 5
B. ? =
C. ? =
D. ? =