Questions from General Calculus


Q: Refer to the cost function in Fig. 18.

Refer to the cost function in Fig. 18. Translate the task “solve C(x) = 3500 for x” into a task involving the graph of the function.

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Q: Assume that a couple invests $1000 upon the birth of their

Assume that a couple invests $1000 upon the birth of their daughter. Assume that the investment earns 6.8% compounded annually. What will the investment be worth on the daughter’s 18th birthday?

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Q: Assume that a couple invests $4000 each year for 4 years

Assume that a couple invests $4000 each year for 4 years in an investment that earns 8% compounded annually. What will the value of the investment be 8 years after the first amount is invested?

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Q: Use intervals to describe the real numbers satisfying the inequalities.

Use intervals to describe the real numbers satisfying the inequalities. x ≥ 12

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Q: Assume that a $500 investment earns interest compounded quarterly. Express

Assume that a $500 investment earns interest compounded quarterly. Express the value of the investment after 1 year as a polynomial in the annual rate of interest r.

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Q: Semiannual Compound Assume that a $1000 investment earns interest compounded semiannually

Semiannual Compound Assume that a $1000 investment earns interest compounded semiannually. Express the value of the investment after 2 years as a polynomial in the annual rate of interest r.

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Q: Draw the following intervals on the number line. (

Draw the following intervals on the number line. (4, 3π)

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Q: Let f (x) = x6, g(x)

Let f (x) = x6, g(x) = x / 1 - x, and h(x) = x3 - 5x2 + 1. Calculate the following functions. h (f (t))

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Q: Velocity When a car’s brakes are slammed on at a speed of

Velocity When a car’s brakes are slammed on at a speed of x miles per hour, the stopping distance is 1 20x2 feet. Show that when the speed is doubled the stopping distance increases fourfold.

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Q: Use the laws of exponents to simplify the algebraic expressions. Your

Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. 1 / yx-5

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