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MAC2233_2010_Summer_Q09A

# MAC2233_2010_Summer_Q09A - 2 C 30 ft/sec 6 ft/sec 2 D 30...

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Name________________________________________________________________________ Date__________________ MAC 2233: Quiz 9 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1)The radius of a right circular cylinder is increasing at the rate of 3 in./s, while the height is decreasing at the rate of 6 in./s. At what rate is the volume of the cylinder changing when the radius is 15 in. and the height is 10 in.? A)30 in. 3 /s B) - 900 in. 3 /s C) - 450π in. 3 /s D) - 900π in. 3 /s 1) Given the distance function, s(t), where s is in feet and t is in seconds, find the velocity and acceleration for the indicated instant in time. 2)s(t) = t 3 + 3t, t = 3 sec A)30 ft/sec; 9 ft/sec 2 B)12 ft/sec; 18 ft/sec

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Unformatted text preview: 2 C) 30 ft/sec; 6 ft/sec 2 D) 30 ft/sec; 18 ft/sec 2 2) Find the relative extrema of the function, if they exist. 3) f(x) = x 2 + 2x -3 A) (1, 4) B) (-1, -4) C) (-1, 4) D) (1, -4) 3) Find the extreme values of the function and where they occur. 4) y = x 3-3x 2 + 1 A) None B) Local minimum at (2, -3). C) Local maximum at (0, 1), local minimum at (2, -3). D) Local maximum at (0, 1). 4) Find the location of the indicated absolute extremum for the function. 5) Maximum x-5-4-3-2-1 1 2 3 4 5 h(x) 5 4 3 2 1-1-2-3-4-5 A) x =-4 B) x = 1 C) No maximum D) x = 4 5) A-1 Answer Key Testname: MAC2233_2010_SUMMER_Q09 1) C 2) D 3) B 4) C 5) B A-2...
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