Determine where the given function is concave up and where it is concave down. f(x) = (x - 2)1/3 - 7
A. Concave down on (-?, 2) and (2, ?)
B. Concave down on (-?, 2), concave up on (2, ?)
C. Concave up on (-?, 2), concave down on (2, ?)
D. Concave up on (-?, ?)
Answer: C
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Find the reciprocal of the number.-8
A. 8
B. 
C. 0
D. - 
Use implicit differentiation to find dy/dx and d2y/dx2.2y - x + xy = 2
A. 
= 
; 
= 
B. 
= - 
; 
= 
C. 
= 
; 
= 
D. 
= - 
; 
= 
Solve the problem.The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a screen 5 ft from a light is 2 foot candles, find the intensity on a screen 15 ft from the light.
A. 
foot-candle
B. 
foot-candle
C. 1
foot-candles
D. 2 foot-candles
Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places.f(x) = x3 - 3x2 + 1; (-5, 5)
A. local maximum at (0, 1) local minimum at (2, -3) B. local minimum at (2, -3) C. local minimum at (0, 1) local maximum at (2, -3) D. none