Questions from General Calculus


Q: Use the laws of exponents to compute the numbers. (

Use the laws of exponents to compute the numbers. (31>3 * 31>6)6

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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. x2 / x5y

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Q: Let f (x) = 3√x and g(

Let f (x) = 3√x and g(x) = 1 / x2. Calculate the following functions. Take x > 0. f (f (x))

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Q: Refer to the function f (r), which gives the cost

Refer to the function f (r), which gives the cost (in cents) of constructing a 100-cubic-inch cylinder of radius r inches. The graph of f (r) is shown in Fig. 16. What is the cost of constructing a...

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Q: Use the laws of exponents to compute the numbers. 61

Use the laws of exponents to compute the numbers. 61/3 * 62/3

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Q: Use the laws of exponents to compute the numbers. (

Use the laws of exponents to compute the numbers. (94/5)5/8

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Q: Describe the domain of the function. g(x)

Describe the domain of the function. g(x) =4 / x(x + 2)

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Q: Use the laws of exponents to compute the numbers. 104

Use the laws of exponents to compute the numbers. 104 / 54

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Q: Use the laws of exponents to compute the numbers. 35

Use the laws of exponents to compute the numbers. 35/2 / 31/2

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Q: In Exercises 7–12, express f (x) +

In Exercises 7–12, express f (x) + g(x) as a rational function. Carry out all multiplications. f (x) = 3 / x – 6, g(x) = -2 / x - 2

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