Question: Refer to the function f (r), which
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, 162) is the lowest point on the graph of the function. What does this say in terms of cos versus radius?
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[-1, 1] by [-10, 10]
> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (x1/3)6
> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (-27x5)2/3 / x3/2
> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (xy)6
> Use the laws of exponents to compute the numbers. (61/2)0
> Use the laws of exponents to compute the numbers. 74/3 / 71/3
> Use the laws of exponents to compute the numbers. (125 * 27)1/3
> Let f (x) = 3√x and g(x) = 1 / x2. Calculate the following functions. Take x > 0. g(g(x))
> Use the laws of exponents to compute the numbers. (8/27)2/3
> 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) - g(x + 1)
> Use the laws of exponents to compute the numbers. 200.5 * 50.5
> Solve the equations in Exercises 39–44. x + 2 / x – 6 = 3
> Use the laws of exponents to compute the numbers. (21/3 * 32/3)3
> 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
> Use the laws of exponents to compute the numbers. 35/2 / 31/2
> Use the laws of exponents to compute the numbers. 104 / 54
> Describe the domain of the function. g(x) =4 / x(x + 2)
> Use the laws of exponents to compute the numbers. (94/5)5/8
> Use the laws of exponents to compute the numbers. 61/3 * 62/3
> 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 cylinder of radius 6 inches? x(8x2/3) = x/3.8x2/3
> Let f (x) = 3√x and g(x) = 1 / x2. Calculate the following functions. Take x > 0. f (f (x))
> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. x2 / x5y
> Use the laws of exponents to compute the numbers. (31>3 * 31>6)6
> Use the laws of exponents to compute the numbers. 51/3 * 2001/3
> Compute the numbers. 1-1.2
> 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. How much is saved by increasing the radius from 1 inch to 3 inches? =X.X = x.x = x =-
> Solve the equations in Exercises 39–44. 21/x - x = 4
> Compute the numbers. (.01)-1.5
> Compute the numbers. (1/8)-2/3
> In Exercises 7–12, express f (x) + g(x) as a rational function. Carry out all multiplications. f (x) = 2 / x - 3, g(x) = 1 / x + 2
> 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) - g(x)
> Compute the numbers. 4-1/2
> Compute the numbers. (81)0.75
> Compute the numbers. 160.5
> Let f (x) = x / x - 2, g(x) = 5 – x / 5 + x, and h(x) = x + 1 / 3x - 1. Express the following as rational functions. f (x) - g(x)
> Describe the domain of the function. g(x) = 1 / √(3 – x)
> Compute the numbers. 91.5
> 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 additional cost of increasing the radius from 3 inches to 6 inches? g (x)
> Compute the numbers. (1.8)0
> Compute the numbers. (27)2/3
> Find the points of intersection of the pairs of curves in Exercises 31–38. y = 30x3 - 3 x2, y = 16x3 + 25x2
> Let f (x) = x2 - 2x, g(x) = 3x - 1, and h(x) = √x. Find the following functions. g(x)h(x)
> Compute the numbers. (25)3/2
> Compute the numbers. 163/4
> Compute the numbers. 84/3
> Graph the following equations. y = -2x + 3
> Compute the numbers. (-5)-1
> Let f (x) = 3√x and g(x) = 1 / x2. Calculate the following functions. Take x > 0. g (f (x))
> Compute the numbers: (.01)-1
> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. √x (1/4x)5/2
> Compute the numbers. (½)-1
> Let f (x) = x2 - 2x, g(x) = 3x - 1, and h(x) = √x. Find the following functions. f (x)/h(x)
> Let f (x) = x2 - 2x, g(x) = 3x - 1, and h(x) = √x. Find the following functions. f (x) + g(x)
> Find an equation of the given line. Horizontal through (√7, 2)
> Find an equation of the given line. Slope is -2; x-intercept is -2
> Exercises 43–46 relate to Fig. 13. When a drug is injected into a person’s muscle tissue, the concentration y of the drug in the blood is a function of the time elapsed since the injection. The graph of a typical time&
> Find an equation of the given line. Slope is 2; x-intercept is -3
> Let f (x) = x6, g(x) = x / 1 - x, and h(x) = x3 - 5x2 + 1. Calculate the following functions. f (h(x))
> Evaluate each of the functions in Exercises 37–42 at the given value of x. f (x) = |x|, x = -2/3
> Find an equation of the given line. x-intercept is -π; y-intercept is 1
> Find an equation of the given line. x-intercept is 1; y-intercept is -3
> Find an equation of the given line. Horizontal through (2, 9)
> Find an equation of the given line. (- 1/2, - 1/7) and (2/3, 1) on line
> Find an equation of the given line. (0, 0) and (1, 0) on line
> Find an equation of the given line. (1/2, 1) and (1, 4) on line
> Find an equation of the given line. (5/7, 5) and (- 5/7 , -4) on line
> Find an equation of the given line. Slope is 7/3; (1/4, - 2/5) on line
> Find an equation of the given line. Slope is 1/2 ; (2, 1) on line
> Exercises 43–46 relate to Fig. 13. When a drug is injected into a person’s muscle tissue, the concentration y of the drug in the blood is a function of the time elapsed since the injection. The graph of a typical time&
> Let f (x) = x6, g(x) = x / 1 - x, and h(x) = x3 - 5x2 + 1. Calculate the following functions. g (h(t))
> Find an equation of the given line. Slope is 2; (1, -2) on line
> Find an equation of the given line. Slope is -1; (7, 1) on line
> Find the slopes and y-intercepts of the following lines. 4x + 9y = -1
> Find the slopes and y-intercepts of the following lines. y = x/7 - 5
> Find the slopes and y-intercepts of the following lines. y = 6
> Determine the domains of the following functions. f (x) = 1 / x(x + 3)
> Let f (x) = [1/(x + 1)] - x2. Evaluate f (a + 1).
> Let f (x) = x2 - 2. Evaluate f (a - 2).
> Let f (x) = 2x + 3x2. Evaluate f (0), f (- 1/4), and f (1/√2).
> Let f (x) = x3 +1 /x. Evaluate f (1), f (3), f (-1), f (- 12), and f (√2).
> Let f (x) = x6, g(x) = x / 1 - x, and h(x) = x3 - 5x2 + 1. Calculate the following functions. g (f (x))
> Exercises 43–46 relate to Fig. 13. When a drug is injected into a person’s muscle tissue, the concentration y of the drug in the blood is a function of the time elapsed since the injection. The graph of a typical time&
> Suppose that $7000 is deposited in a savings account that pays a rate of interest r per annum, compounded annually, for 20 years. (a) Express the account balance A(r) as a function of r. (b) Calculate the account balance for r = .07 and r = .12.
> 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) Calculate the account balance for r = 0.04 and r = 0.06
> 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 principal has been in the account. (b) Calculate the ac
> 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 principal has been in the account. (b) Calculate the acc
> Use the laws of exponents to simplify the algebraic expressions. 3√x (8x2/3)
> Use the laws of exponents to simplify the algebraic expressions. x3/2/ √x
> Use the laws of exponents to simplify the algebraic expressions. xy3 / x-5y6
> Use the laws of exponents to simplify the algebraic expressions. (√(x + 1))4
> The revenue R(x) (in thousands of dollars) that a company receives from the sale of x thousand units is given by R(x) = 5x - x2. The sales level x is in turn a function f (d) of the number d of dollars spent on advertising, where Express the revenue as
> Let f (x) = x6, g(x) = x / 1 - x, and h(x) = x3 - 5x2 + 1. Calculate the following functions. h(g(x))
> The population of a city is estimated to be 750 + 25t + .1t2 thousand people t years from the present. Ecologists estimate that the average level of carbon monoxide in the air above the city will be 1 + .4x ppm (parts per million) when the population is
> Exercises 43–46 relate to Fig. 13. When a drug is injected into a person’s muscle tissue, the concentration y of the drug in the blood is a function of the time elapsed since the injection. The graph of a typical time&
> Simplify (100)3/2 and (.001)1/3.
> Simplify (81)3/4, 85/3, and (.25)-1.
> Let f (x) = x2 - 2x + 4, g(x) = 1/x2, and h(x) = 1/(√x - 1). Determine the following functions. h(f (x))
> Let f (x) = x2 - 2x + 4, g(x) = 1/x2, and h(x) = 1/(√x - 1). Determine the following functions. f (h(x))
> Let f (x) = x2 - 2x + 4, g(x) = 1/x2, and h(x) = 1/(√x - 1). Determine the following functions. h(g(x))
> Let f (x) = x2 - 2x + 4, g(x) = 1/x2, and h(x) = 1/(√x - 1). Determine the following functions. g(h(x))
> Let f (x) = x2 - 2x + 4, g(x) = 1/x2, and h(x) = 1/(√x - 1). Determine the following functions. g(f (x))
