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. (x4 / y2)3

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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. (x/y)-2

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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. (x3y5)4

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Q: Let f (x) = x/(x2 - 1),

Let f (x) = x/(x2 - 1), g(x) = (1 - x)/(1 + x), and h(x) = 2/(3x + 1). Express the following as rational functions. f (x) + h(x)

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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 + x) * (1 + x)3/2

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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. x5 * (y2 / x)3

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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. x-3 * x7

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Q: Sketch the graph of the function. f (x)

Sketch the graph of the function. f (x) = 2x2 - 1

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Q: Solve the equations in Exercises 39–44. 1 =

Solve the equations in Exercises 39–44. 1 = 5 / x +6 / x2

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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/√x = 1/√x ( )

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