Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Test Prep Workbook Update
5th Edition
ISBN: 9780328909148
Author: Prentice Hall
Publisher: Prentice Hall
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Of
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of the function f (x, y) = x³ + y²x - 3. Write the expression in terms of x and y.
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3. ) Suppose f(x) is the number of cars that can be built for x dollars. What does f−1 (750) represent? Explain your answer.
5.) 5. The formulas for estimating body weight as a function of height that are used most often areWomen: p = W(h) = 100 + 5hMen: p = M(h) = 110 + 5hwhere p is weight in pounds and h is height over 5 feet (in inches). Find h = W−1 and stateits domain.
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- Suppose the range of a function fis [5,8] . What is the range of |f(x)| ?arrow_forwardWhat is the composition of two functions, fg ?arrow_forwardHigh School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.arrow_forward
- The path of a ball is modeled by the function f(x)=120x2+3x+5, where fx is the height (in feet) of the ball and x is the horizontal distance (in feet) from where the ball was thrown. (a) What is the maximum height of the ball? (b) Which number determines the height at which the ball was thrown? Does changing this value change the coordinates of the maximum height of the ball? Explain.arrow_forwardFor the experimental can described in Example 8, write the surface area as a function of (a) the radius r and (b) the height h.arrow_forwardExplain how to interpret the initial value in a word problem that uses a linear function.arrow_forward
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