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Calculus Expert Answers & Study Resources : Page 3

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) $1000 is invested at 6% interest compounded continuously. What is the value of the investment after 5 years? A) $1822.12 B) $1338.23 C) $6691.13 D) $1349.86 E) none of these 2) How long will it take for an investment to triple.

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  • $1000 is invested at 6% interest compounded continuously. What is the value of the investment after 5 years
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Find the derivative of f(x) = x5/2. A) (2/5)x-1/2 B) (5/2)x-1/2 C) 5x3/2 D) (5/2)x3/2 2) Find the derivative of f(x) = (1/(3)√(x)) A) (5/3x2) B) (2/3)x-4/3 C) - (1/3x4/3) D) none of these 3) Find the derivative of f(x) = 7x - 19 at.

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  • Find the derivative of f(x) = x^5/2
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify. 1) ln(x5y-4/w3z-2) A) 5lnx + 4lny - 3lnw - 2lnz B) 5lnx + 4lny - 3lnw + 2lnz C) 5lnx - 4lny - 3lnw - 2lnz D) 5lnx - 4lny - 3lnw + 2lnz E) none of these 2) ln(x4 - 5/z3y4) A).

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  • Simplify. 1)ln(x5y-4/w3z-2)
  • Calculus
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Simplify. 1) 4x⋅2x/2 Enter your answer exactly as 2b/c. 2) 2x⋅8x Enter your answer exactly as 2a. 3) (3x/6x)⋅8x⋅((32/4))x Enter your answer exactly as 2a. 4) 16x((1/8))x Enter your answer exactly as 2a. 5) (2-x^2)(x + 1)/x Enter your answer exactly in the form 2P(x).

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  • Simplify. 1) 4^x2^x/2
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Compute f(g(x)) for the given f(x) and g(x). 1) f(x) = (5/x - 7) and g(x) = (8/5x) A) (25x/8 - 35x) B) (25x/8 + 35x) C) (8x - 56/25x) D) (5x/8 - 35x) 2) f(x) = 4x2 and g(x) = (7/x) A).

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  • 1) f(x) = (5/x - 7) and g(x) = (8/5x)
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Differentiate. 1) y = 9x(4x2 - 3x) A) 108x2 - 27x B) 72x2 - 27x C) 108x2 - 54x D) 72x2 - 54x 2) y = (1 - 8x2)(6x2 - 192) A) -192x4 + 3084x2 B) -192x3 + 3084 C) 48x3 + 1542x D) -192x3 +.

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  • Differentiate. 1) y = 9x(4x^2 - 3x)
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Calculate. 1) A) ln3 B) (4/3) C) -e + ln3 D) -ln3 E) none of these 2) A) (1/2)(e2 - e-2) B) - (1/2)e-2x + C C) e2 - e2 D) (1/2)(e2 - e2) E) none of these 3) A) (1/3)e + (7/6) B) (1/3)e3 + (7/6) C) (1/3)e3.

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  • Calculate
  • Calculus
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Differentiate. 1) y = ln3x A) - (1/x) B) - (1/3x) C) (1/x) D) (1/3x) 2) y = ln(x - 9) A) (1/9 - x) B) (1/x - 9) C) - (1/x + 9) D) (1/x + 9) 3) y = ln8x2 A) (2x/x2 + 8) B) (2/x) C) (16/x) D).

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  • Differentiate. 1) y = ln3x
  • Calculus
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