Questions from Calculus


Q: Use three repetitions of the Newton–Raphson algorithm to approximate the

Use three repetitions of the Newton–Raphson algorithm to approximate the following: The zero of ex + 10x - 3 near x0 = 0

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Q: Sketch the graph of y = x3 + 2x + 2,

Sketch the graph of y = x3 + 2x + 2, and use the Newton–Raphson algorithm (three repetitions) to approximate all x-intercepts.

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Q: Sketch the graph of y = x3 + x - 1,

Sketch the graph of y = x3 + x - 1, and use the Newton–Raphson algorithm (three repetitions) to approximate all x-intercepts.

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Q: Use the Newton–Raphson algorithm to find an approximate solution to

Use the Newton–Raphson algorithm to find an approximate solution to e-x = x2.

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Q: Use the Newton–Raphson algorithm to find an approximate solution to

Use the Newton–Raphson algorithm to find an approximate solution to e5-x = 10 - x.

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Q: Determine the fourth Taylor polynomial of f (x) = ex

Determine the fourth Taylor polynomial of f (x) = ex at x = 0, and use it to estimate e0.01.

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Q: Suppose that an investment of $500 yields returns of $100

Suppose that an investment of $500 yields returns of $100, $200, and $300 at the end of the first, second, and third months, respectively. Determine the internal rate of return on this investment.

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Q: An investor buys a bond for $1000. She receives $

An investor buys a bond for $1000. She receives $10 at the end of each month for 2 months and then sells the bond at the end of the second month for $1040. Determine the internal rate of return on thi...

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Q: A $663 flat-screen TV is purchased with a down

A $663 flat-screen TV is purchased with a down payment of $100 and a loan of $563 to be repaid in five monthly installments of $116. Determine the monthly rate of interest on the loan.

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Q: A mortgage of $100,050 is repaid in 240 monthly

A mortgage of $100,050 is repaid in 240 monthly payments of $900. Determine the monthly rate of interest.

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