Questions from General Calculus


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

Use the laws of exponents to simplify the algebraic expressions. xy3 / x-5y6

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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)/ g(x))

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

Use the laws of exponents to simplify the algebraic expressions. x3/2/ √x

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

Use the laws of exponents to simplify the algebraic expressions. 3√x (8x2/3)

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Q: Suppose that $15,000 is deposited in a savings account

Suppose that $15,000 is deposited in a savings account that pays 4% per annum, compounded monthly, for t years. (a) Express the account balance A(t) as a function of t, the number of years that the pr...

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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. Interpret the fact that the point (3...

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Q: Suppose that $7000 is deposited in a savings account that pays

Suppose that $7000 is deposited in a savings account that pays 9% per annum, compounded biannually, for t years. (a) Express the account balance A(t) as a function of t, the number of years that the p...

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Q: Suppose that $15,000 is deposited in a savings account

Suppose that $15,000 is deposited in a savings account that pays a rate of interest r per annum, compounded annually, for 10 years. (a) Express the account balance A(r) as a function of r. (b) Calcula...

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Q: Use the quadratic formula to find the zeros of the functions in

Use the quadratic formula to find the zeros of the functions in Exercises 1–6. f (x) = 2x2 - 7x + 6

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Q: Solve the equations in Exercises 39–44. x2 +

Solve the equations in Exercises 39–44. x2 + 14x + 49 / x2 + 1 = 0

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