140Bquiz12a - measured in newtons (N). The area under the...

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1 MATH 140B QUIZ#12 Date: Due Mon Dec 10, 2007 [ 2 ] 1. A car can brake with an acceleration of - 68 . 5 ft/sec 2 . It is traveling on the highway at 70 mi/hr (or 102.7 ft/sec) and the brakes are applied to produce the constant decceleration given above. Use the physics model developed in lecture, with a = - 68 . 5 ft/sec 2 replacing a = - 32 ft/sec 2 , to determine how far (in feet) the car travels from the time the breaks are applied until it stops? Round your answer to the nearest foot. A) 70 B) 74 C) 77 D) 80 E) None of the above [ 2 ] 2. Compute the Riemann Sum, R 4 , (i.e., the right endpoint approximation using 4 rectangles) to approximate the deFnite integral i π 0 cos x dx A) - 1 B) - π/ 4 C) - π/ 2 D) 0 E) None of the above [ 2 ] 3. The human gastrocnemius tendon is located in the calf. The force on the tendon while it contracts can be approximated by the function f ( x ) = 71 x - 10 . 3 x 2 + 0 . 986 x 3 where x is the tendon elongation in millimeters and f ( x ) is force exerted by the tendon
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Unformatted text preview: measured in newtons (N). The area under the curve gives the amount of work done. ind the work done for 2 x 11 (in N mm). A) 2533 B) 2795 C) 3051 D) 3371 E) None of the above 2 [ 2 ] 4. Use the Fundamental Theorem of Calculus to compute the exact value of the denite integral i 3 p x-1 x P 2 dx A) 16 / 3 B) 4 C) 21 / 3 D) 29 / 3 E) None of the above [ 2 ] 5. During 34 weeks in the 2000-2001 u season, the rate of reported inuenza per 100,000 population could be approximated by I ( t ) = 3 . 389 e . 1049 t , where I is the total number of people per 100,000 who have contracted inuenza and t is the time measured in weeks. How many people per 100,000 contracted inuenza in the last 7 weeks of the 34 week period? A) 500 B) 550 C) 575 D) 595 E) None of the above...
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140Bquiz12a - measured in newtons (N). The area under the...

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