Questions from General Calculus


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. (3x2 / 2y)3

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Q: The expressions in Exercises 83–88 may be factored as shown

The expressions in Exercises 83–88 may be factored as shown. Find the missing factors. 2x2/3 - x-1/3 = x-1/3 ( )

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Q: Graph the following equations. y = 3x + 1

Graph the following equations. y = 3x + 1

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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 (x)]3g(x)

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Q: The expressions in Exercises 83–88 may be factored as shown

The expressions in Exercises 83–88 may be factored as shown. Find the missing factors. x-1/4 + 6x1/4 = x-1/4( )

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Q: The expressions in Exercises 83–88 may be factored as shown

The expressions in Exercises 83–88 may be factored as shown. Find the missing factors. √ (x/y) - √ (y/x) = √xy ( )

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Q: The expressions in Exercises 83–88 may be factored as shown

The expressions in Exercises 83–88 may be factored as shown. Find the missing factors. Explain why √a * √b = √(ab).

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Q: The expressions in Exercises 83–88 may be factored as shown

The expressions in Exercises 83–88 may be factored as shown. Find the missing factors. Explain why √a/√b = √ (a/b).

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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) = x + 5 / x – 10, g(x) = x / x + 10

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Q: Evaluate f (4). f (x) = x2

Evaluate f (4). f (x) = x2

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