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Calculus Expert Answers & Study Resources : Page 5

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the integral. 1) A) (136/3)y B) 44y C) 4x(4x - 5) D) 27 2) A) (e4x+5 - e4x+3/4) B) (e20+y - e12+y/4) C) 4(e20 +y - e12+y) D) e4x+5 - e4x+3 3) A) (1/6)[(36 +y)3/2 - (18 + y)3/2] B) (2/3)[(36 +y)3/2 - (18 +.

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  • Find the double integral over the rectangular region R with the given boundaries. 21) integralintegral((1 + x + y)dxdy))
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the improper integral is convergent or divergent. 1) A) Convergent B) Divergent 2) A) Divergent B) Convergent 3) A) Divergent B) Convergent 4) A) Convergent B) Divergent 5) A) Divergent B) Convergent 6) A) Convergent B) Divergent 7) A) Convergent B) Divergent 8) A) Convergent B) Divergent 9) A) Convergent B) Divergent 10).

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  • Determine whether the improper integral is convergent or divergent
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the definite integral. 1) A) 12 B) 18 C) 6 D) 9 2) A) - (13/2)√(13) B) -√(13) C) - (17/2)√(13) D) - (17/2) + 2√(13) 3) A) 14.5 B) 17.5 C) -22.5 D) 22.5 4) A) - (2/3) B) 0 C) - (8/3) D) (8/3) 5) dx A) (10/3) B) 0 C) 3 D) -2 6).

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  • Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. 28) f(x) = x^-1/2; [1, 4]
  • Calculus
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Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. 31) f(x) = x2 - 6x + 9; [2, 4] A) (1/3) B) (2/3) C) (7/3) D) (4/3) 32) f(x) = 2x - x2; [0, 2] A) (5/3) B) (4/3) C) (7/3) D) (2/3) 33) f(x) = (3/x3); [1, 3] A) (1/3) B) 3 C) (4/3) D) (1/2) 34).

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  • 31) f(x) = x^2 - 6x + 9; [2, 4]
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the first four elements of the sequence. 1) (n + 1/3n - 1) A) 0, (1/3), (1/2), (3/4) B) -1, 1, (3/5), (1/2) C) 1, (3/5), (1/2), (5/11) D) (1/3), (1/2), (3/4), (2/3) 2) (ln(n + 1)/n3) A) 0, (ln2/8), (ln3/27), (ln4/64) B).

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  • Write the first four elements of the sequence.
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the differential equation. 1) cosx (dy/dx) + ysinx = sinx cosx A) y = sinx ln|secx| + C sinx B) y = cosx ln|secx| + C cosx C) y = cotx + C cosx D) y = cosx ln|secx +.

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  • Solve the differential equation.
  • Calculus
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Use your calculator to approximate the integral using the method indicated, with n = 100. Round your answer to four decimal places. 20) dx (trapezoidal rule) A) 19.0349 B) 19.0855 C) 19.0870 D) 20.0855 21) dx (trapezoidal rule) A) 9.7873 B) 9.6718 C) 9.8093 D) 9.7516 22) dx (trapezoidal rule) A) 12.7991 B) 12.8501 C) 12.8227 D) 12.8473 23) dx (trapezoidal rule) A) 0.6520 B) 0.5982 C) 0.6363 D) 0.5980 24).

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  • When we use Simpson's rule, it is necessary that the number of subintervals be
  • Calculus
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