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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the integral. 1) A) 64π2 B) (256/3)π2 C) (512/3)π2 D) (512/9)π2 2) A) (243/8)π2 B) (243/8)π C) (81/2)π D) (81/2)π2 3) A) (854,296,875/16)π B) (43,046,721/32)π C) (6561/16)π D) 69,984π 4) A) (7/4)π B) (7/2)π C) (7/3)π D) (7/6)π 5) A) (1/32)π(15π - 16) B) (1/64)π(15π - 8) C) (1/64)π(15π - 16) D) (1/32)π(15π - 8) 6).

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  • the solid enclosed by the cardioid of revolution
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the cylindrical coordinate integral. 1) A) 30π B) 270π C) 540π D) 90π 2) A) 16π B) 64π C) 128π D) 8π 3) A) 1458π B) 2187π C) 7290π D) 2916π 4)   A) 945,750 B) (2,994,875/2) C) (788,125/3) D) (788,125/2) 5) A) 40 B) 20π C) 60 D) 60π 6) A) 6π + ln2 B) 12 -.

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  • Let D be the region bounded below by the xy-plane, above by the sphere
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the specific function value. 1) Find f(-2, -3) when f(x, y) = 5x + 2y - 8. A) -16 B) -24 C) -29 D) -26 2) Find f(3, 4) when f(x, y) = 5y2 - 8xy. A) -51 B) -19 C) -16 D) -47 3) Find.

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  • Find the specific function value.
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) Evaluate (dw/dt) at t = (1/2)π for the function w = x2 - y2 + 6x; x = cost, y = sint. A) 2 B) 8 C) 4 D) -6 2) Evaluate (dw/dt) at t = 10 for.

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  • Solve the problem.
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the limit. 1) A) 1 B) -1 C) 2/3 D) No limit 2) A) Ö143 B) Ö143/143 C) 143 D) No limit 3) ln|x + y/xy| A) -ln 2 B) ln 2 C) 0 D) No limit 4) A) 0 B) ∞ C) 1 D) No limit 5) sin(x2 + y7/ x –.

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  • Find the limit.
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Change the Cartesian integral to an equivalent polar integral, and then evaluate. 1) A) (27π/2) B) (π/2) C) (3π/2) D) (9π/2) 2) A) (625π/8) B) (125π/8) C) (125π/4) D) (25π/8) 3) A) 32π B) 16π C) 4π D) 64π 4) A) (π(3 - ln4)/2) B) (π(3 + ln4)/4) C) (π(3 -ln4)/4) D).

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  • the region enclosed by the curve r = 9cos
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the integral. 1) A) 1 B) 34 C) 22 D) 80 2) A) - 36 B) - 4 C) - 2 D) - 30 3) A) - 3456 B) - 2304 C) - 1152 D) 576 4) A) 7 B) 280 C) 42 D) 1680 5) A) - 5 B) 34 C) - 3 D).

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  • 21) f(x, y) = xy over the rectangle 3
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the integral. 1) A) 5 B) - (7/2) C) (9/2) D) - 3 2) A) (625/3) B) (625/4) C) (125/3) D) (125/4) 3) A) (4096/15) B) (4096/7) C) (8192/15) D) (8192/7) 4) A) (2/6) B) (2/5) C) (1/6) D) (1/5) 5) A) (364/3) B) (350/9) C) (350/3) D) (364/9) 6) A) 8 B) 1 C) 2 D) 4 7) A).

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  • f(x, y) = (x/3) + (y/5) over the trapezoidal region bounded by the x-axis, y-axis
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Test the vector field F to determine if it is conservative. 1) F = 7x6y7z7i + 7x7y6z7j + 7x7y7z6k A) Conservative B) Not conservative 2) F = x7y7z7i + x7y7z7j + z7k A) Not conservative B) Conservative 3) F = 6x6y5i + (5x6y4.

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  • 1) F = 7x^6y^7z^7i + 7x^7y^6z^7j + 7x^7y^7z^6k
  • Calculus
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