Solve the problem.A rectangular sign is being designed so that the length of its base, in feet, is 10 feet less than 4 times the height, h. Express the area of the sign as a function of h.
A. A(h) = 10h - 2h2
B. A(h) = -10h2 + 2h
C. A(h) = -10h + 4h2
D. A(h) = -10h + h2
Answer: C
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Find the curvature of the curve r(t).r(t) = (3 + ln(sec t))i + (9 + t)k, -?/2 < t < ?/2
A. ? = 1 - cos t B. ? = cos t C. ? = sin t D. ? = -cos t
Solve the problem.A ball is thrown downward from a window in a tall building. Its position at time t in seconds is where s is in feet. How long (to the nearest tenth) will it take the ball to fall 227 feet?
A. 3.8 sec B. 2.7 sec C. 8.4 sec D. 2.9 sec
For the given pair of functions, find the requested function.f(x) = x2 + 6x + 6 and g(x) = 5x - 2; (fg)(1)
A. 13 B. -17 C. 37 D. 39
Find the center and radius of the circle whose graph is shown. Write the standard form of the equation of the circle.
A. r = ; (h, k) = (-4, 2); (x + 4)2 + (y - 2)2 = 5
B. r = 5; (h, k) = (-4, 2); (x + 4)2 + (y - 2)2 = 25
C. r = 5; (h, k) = (-4, 2); (x - 4)2 + (y + 2)2 = 25
D. r = ; (h, k) = (-4, 2); (x - 4)2 + (y + 2)2 = 5