Calc S2 Final - Calculus I Semester 2 Final Review Name 19 Use the general power rule to evaluate the integral xx 8 — 4x2 dx(a (8 — 4x2)3/2

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Unformatted text preview: Calculus I Semester 2 Final Review Name. 19, Use the general power rule to evaluate the integral: ] xx/ 8 — 4x2 dx. (a) §(8 — 4x2)3/2 + C (b) —§(8 — 41:2)” + C (c) —;%(8 — 4x2)3/2 + C I (d) _%(g _ 4x2)3/2 + C (e) None of these 20. Evaluate the integral: f cos 3x dx. (a) sin 3x + C (b) -sin 3x + C (0) —sin 3x2 + C (d) % sin 3x + C (e) None of these 3 21. Use the Trapezoidal Rule, with n = 4, to approximate f 1 dx. 2 (a) 0.5004 1 (b) 2.5000 (c) 0.5090 (d) 1.7396 (e) None of these 22‘ Find the area of the region bounded by the graphs offlx) = x3 — 2x and g(x) = —x. (a) 2 , (b) l (c) o (d) i (6) None of these 23. Find the area of the region bounded by the graphs of f (x) = x3 + x2 — 12x and g(x) = —x2 + 3x. (a) ¥ (b) §% , (c) (d) % (e) None of these 24_ Find the volume of the solid formed by revolving the region bounded by the graphs of y = 2x2, x = O, and y = 2 about the y-axis. (a) h (b) %w (c) 7r (d) 17% (6) None of these 25, Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 —x2andy = 2abouttheliney = 2. (a) %77 (b) €77 (c) %77 (d) §7r (e) None of these Calculus Semester 2 Final Review Name: 7. Use (1(t) = — 32 ft/s2 as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 96 feet per second. How high will the ball go? (a) 32 feet (:1) 144 feet (b) 64 feet (0) 24 feet (e) None of these 8, An object has a constant acceleration of 72 feet per second squared, an initial velocity of 17 feet per second, and an initial position of 10 feet. Find the position function describing the motion of this object. m)s=%fl+1n+1o (d) s = 72t2-+ 17z-+ 10 (b) s = 36f2 + 27 (c) s = 72!2 + 10 (e) None of these 9_ Find the limit ofs(n) 3371—900. s(n) = E 101. ; n i=1 ’1 @5 @10 ©9 (d) 4 (6) None of these 10 Use the properties of sigma notation and the Summation formulas to evaluate the given sum: 10 Em-m+n i=1 (a) 83 (b) 245 (C) 305 (d) 81 (e) None of these ll. Lets(Ii) = 2 (1 + it)-<Z>.Find the limit ofs(/1) as n—>oo. i=1 n n 17 E E (3) E (b) 3 (C) 3 (d) % (6) None of these 12 Which of the following definite integrals represents the area of the shaded region! y 4 (a) ] A.2 (II (b) x2 dx 0 (c) f— x2 dx (d) x2 1 (e) None of these ...
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This note was uploaded on 03/12/2010 for the course CALCULUS 1561234586 taught by Professor Zalla during the Spring '10 term at Air Force Institute of Technology, Ohio.

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Calc S2 Final - Calculus I Semester 2 Final Review Name 19 Use the general power rule to evaluate the integral xx 8 — 4x2 dx(a (8 — 4x2)3/2

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