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Calculus 1 / AB Q&A Archive of April 11, 2021

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April 11 of 2021

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your answer to four decimal places. Enter your answers as a comma-separated list.) f(x) = 5?x, [4, 9]
Consider an investment that doubles in value if the interest rate is 6% compounded continuously. Let A0 represent the amount of the initial investment and let t represent time in years. Write an equation that can be solved for t to determine how long it will take the investment to double in…
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3. You want to design a rectangular fish tank with a square base and open top, with a surface area of 192 cm^2. What should the dimensions of the tank be to maximize the tank's volume?
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your answer to four decimal places. Enter your answers as a comma-separated list.) f(x) = 5?x, [4, 9]
Consider an investment that doubles in value if the interest rate is 6% compounded continuously. Let A0 represent the amount of the initial investment and let t represent time in years. Write an equation that can be solved for t to determine how long it will take the investment to double in…
3. You want to design a rectangular fish tank with a square base and open top, with a surface area of 192 cm^2. What should the dimensions of the tank be to maximize the tank's volume?