Questions from General Calculus


Q: Using the data from the previous exercise, find P(t

Using the data from the previous exercise, find P(t). Exercise 40: You took a $200,000 home mortgage at an annual interest rate of 3%. Suppose that the loan is amortized over a period of 30 years, an...

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Q: A sample of radioactive material with decay constant .1 is decaying

A sample of radioactive material with decay constant .1 is decaying at a rate R(t) = -e-0.1t grams per year. How many grams of this material decayed after the first 10 years?

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Q: A saline solution is being flushed with fresh water in such a

A saline solution is being flushed with fresh water in such a way that salt is eliminated at the rate r(t) = -(t + ½) grams per minute. Find the amount of salt that is eliminated during the first 2 mi...

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Q: A conical-shaped tank is being drained. The height of

A conical-shaped tank is being drained. The height of the water level in the tank is decreasing at the rate h(t) = - t/2 inches per minute. Find the decrease in the depth of the water in the tank dur...

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Q: Determine the following: ∫x/c dx (c

Determine the following: ∫x/c dx (c a constant ≠ 0)

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Q: Evaluate the given integral. 0∫1 (2x –

Evaluate the given integral. 0∫1 (2x – 3/4) dx

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Q: Evaluate the given integral. -1∫2(x2

Evaluate the given integral. -1∫2(x2/3 – 2/9x) dx

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Q: Evaluate the given integral. 1∫4 (3√

Evaluate the given integral. 1∫4 (3√t + 4t) dt

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Q: Compute the area of the shaded region in two different ways:

Compute the area of the shaded region in two different ways: (a) by using simple geometric formulas; (b) by applying Theorem I.

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Q: Compute the area of the shaded region in two different ways:

Compute the area of the shaded region in two different ways: (a) by using simple geometric formulas; (b) by applying Theorem I.

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