Questions from General Calculus


Q: Suppose that money is deposited daily in a savings account at an

Suppose that money is deposited daily in a savings account at an annual rate of $1000. If the account pays 5% interest compounded continuously, estimate the balance in the account at the end of 3 year...

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Q: Suppose that money is deposited daily in a savings account at an

Suppose that money is deposited daily in a savings account at an annual rate of $2000. If the account pays 6% interest compounded continuously, approximately how much will be in the account at the end...

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Q: Suppose that money is deposited steadily in a savings account so that

Suppose that money is deposited steadily in a savings account so that $16,000 is deposited each year. Determine the balance at the end of 4 years if the account pays 8% interest compounded continuousl...

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Q: Suppose that money is deposited steadily in a savings account so that

Suppose that money is deposited steadily in a savings account so that $14,000 is deposited each year. Determine the balance at the end of 6 years if the account pays 4.5% interest compounded continuou...

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Q: An investment pays 10% interest compounded continuously. If money is

An investment pays 10% interest compounded continuously. If money is invested steadily so that $5000 is deposited each year, how much time is required until the value of the investment reaches $140,00...

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Q: A savings account pays 4.25% interest compounded continuously.

A savings account pays 4.25% interest compounded continuously. At what rate per year must money be deposited steadily in the account to accumulate a balance of $100,000 after 10 years?

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Q: Find the volume of the solid of revolution generated by revolving about

Find the volume of the solid of revolution generated by revolving about the x-axis the region under each of the following curves. y = x + 1 from x = 0 to x = 2.

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Q: Find the volume of the solid of revolution generated by revolving about

Find the volume of the solid of revolution generated by revolving about the x-axis the region under each of the following curves. y = -x2 + 1 from x = 0 to x = 1.

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Q: Determine the following: ∫ (-3e-x + 2x

Determine the following: ∫ (-3e-x + 2x - e0.5x/2) dx

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Q: Find the volume of the solid of revolution generated by revolving about

Find the volume of the solid of revolution generated by revolving about the x-axis the region under each of the following curves. y = √ (4 - x2) from x = -2 to x = 2 (generates a sphere of radius 2)

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