Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
14th Edition
ISBN: 9780134668574
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
Publisher: PEARSON
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Chapter B.4, Problem 13E
(A)
To determine
To approximate: The value of
(B)
To determine
To approximate: The value of
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2.
Let P(t) represent the population of Los Angeles t years after 1900.
(a)
Interpret P(10) = 319, 198 in words.
P(10) - Р(0)
(b)
Given that P(0) = 102, 479 and P(10) = 319, 198, calculate and interpret
10 – 0
in words.
(c)
of Los Angeles reached 200,000.
Set up an equation that could be used to find how many years after 1900 the population
In Problems 13–24, use the graph of the function f given.
In Problems 23–30, use the given zero to find the remaining zeros of each function.
Chapter B.4 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. B.4 - Consider the points in Table 1. (A)Let...Ch. B.4 - Given the following polynomial and table,...Ch. B.4 - Prob. 1MPCh. B.4 - Prob. 2MPCh. B.4 - Prob. 3MPCh. B.4 - Prob. 4MPCh. B.4 - Prob. 1ECh. B.4 - Prob. 2ECh. B.4 - Prob. 3ECh. B.4 - Prob. 4E
Ch. B.4 - Prob. 5ECh. B.4 - Prob. 6ECh. B.4 - Prob. 7ECh. B.4 - Prob. 8ECh. B.4 - Prob. 9ECh. B.4 - Prob. 10ECh. B.4 - Prob. 11ECh. B.4 - Prob. 12ECh. B.4 - Prob. 13ECh. B.4 - In Problems 1320, use the interpolating polynomial...Ch. B.4 - Prob. 15ECh. B.4 - Prob. 16ECh. B.4 - Prob. 17ECh. B.4 - Prob. 18ECh. B.4 - Prob. 19ECh. B.4 - Prob. 20ECh. B.4 - Prob. 21ECh. B.4 - Prob. 22ECh. B.4 - In Problems 2130, find the interpolating...Ch. B.4 - Prob. 24ECh. B.4 - Prob. 25ECh. B.4 - Prob. 26ECh. B.4 - Prob. 27ECh. B.4 - Prob. 28ECh. B.4 - Prob. 29ECh. B.4 - Prob. 30ECh. B.4 - Prob. 31ECh. B.4 - Prob. 32ECh. B.4 - Prob. 33ECh. B.4 - Prob. 34ECh. B.4 - The following table was obtained from the function...Ch. B.4 - Prob. 36ECh. B.4 - Prob. 37ECh. B.4 - The following table was obtained from the function...Ch. B.4 - Prob. 39ECh. B.4 - Prob. 40ECh. B.4 - Prob. 41ECh. B.4 - Prob. 42ECh. B.4 - Prob. 43ECh. B.4 - Prob. 44ECh. B.4 - Maximum revenue. The revenue R (in thousands of...Ch. B.4 - Minimum overage cost. The cost C (in thousands of...Ch. B.4 - Prob. 47ECh. B.4 - Prob. 48ECh. B.4 - Prob. 49ECh. B.4 - Prob. 50ECh. B.4 - Voter registration. The number N of registered...Ch. B.4 - Voter registration. The number N of registered...
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- In Problems 13–24, determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:(a) The domain and range (b) The intercepts, if any (c) Any symmetry with respect to the x-axis, the y-axis, or the originarrow_forwardIn Problems 23–30, use the given zero to find the remaining zeros of each function. 23. f(x) = x - 4x² + 4x – 16; zero: 2i 24. g(x) = x + 3x? + 25x + 75; zero: -5i 25. f(x) = 2x* + 5x + 5x? + 20x – 12; zero: -2i 26. h(x) = 3x4 + 5x + 25x? + 45x – 18; zero: 3i %3D 27. h(x) = x* – 9x + 21x? + 21x – 130; zero: 3 - 2i 29. h(x) = 3x³ + 2x* + 15x³ + 10x2 – 528x – 352; zero: -4i 28. f(x) = x* – 7x + 14x2 – 38x – 60; zero:1 + 3i 30. g(x) = 2x – 3x* – 5x – 15x² – 207x + 108; zero: 3iarrow_forward2. Determine the inverse of each function, then state its domain and range.arrow_forward
- 3. 2. 4. LEA f(x) 192 2 6. -1 nisg(x) 0sbi bne gni2lot ent bnit 1 (x)04 x- 5 . Use the tables above to find the following: (5) (x)( b) (f • g-1)(4) a) f-1(5)arrow_forwardIn Problems 31–42:(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function.(d) Based on the graph, find the range. (e) Is f continuous on its domain?arrow_forwardLET'S PROVE IT! Direction: Determine if the given function is continuous and differentiable at the indicated values of x. Show your solutions on a separate sheet of paper.arrow_forward
- In Problems 19–22, construct a polynomial function f that has the given properties. There is no unique answer. 19. f is of degree 4, its graph is symmetric with respect to the y-axis, y-intercept is (0, –6)arrow_forward4. TRUE or FALSE: If f(a)= 0, then x-a is a factor of f(x).arrow_forwardIn Problems 23–28, answer the questions about the given function. x² + 2 26. f(x) = x + 4 23. f(x) = 2x? - x - 1 (a) Is the point (-1, 2) on the graph of f? (b) If x = -2, what is f(x)? What point is on the graph of f? (c) If f(x) = -1, what is x? What point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercepts, if any, of the graph of f. (f) List the y-intercept, if there is one, of the graph of f. 24. f(x) = -3x² + 5x (a) Is the point (-1, 2) on the graph of f? (b) If x = -2, what is f(x)? What point is on the graph of f? (c) If f(x) = -2, what is x? What point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercepts, if any, of the graph of f. (f) List the y-intercept, if there is one, of the graph of f. x + 2 (a) Is the point ( 1,) on the graph of f? (b) If x = 0, what is f(x)? What point is on the graph of f? (c) If f(x) =5. what is x? What point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercepts, if…arrow_forward
- 1. (a). Show that (1·1) + (0·1+0) = 1. (b). Find the value of (1 + 1) .arrow_forwardIn Problems 27–36, verify that the functions f and g are inverses of each other by showing that f(g(x)) = x and g(f(x)) any values of x that need to be excluded. = x. Give 27. f(x) = 3x + 4; g(x) = (x- 4) 28. f(x) = 3 – 2x; g(x) = -(x – 3) 29. f(x) = 4x – 8; 8(x) = + 2 30. f(x) = 2x + 6; 8(x) = ;x - 3 31. f(x) = x' - 8; g(x)· Vx + 8 32. f(x) = (x – 2)², 2; g(x) = Vĩ + 2 33. f(x) = ; 8(x) = 34. f(x) = x; g(x) x - 5 2x + 3' 2x + 3 4x - 3 3x + 5 35. f(x) *: 8(x) = 8(x) 36. f(x) = 1- 2x x + 4 2 - x 1.7 82 CHAPTER 1 Graphs and Functions In Problems 37-42, the graph of a one-to-one function f is given. Draw the graph of the inverse function f"1. For convenience (and as a hint), the graph of y = x is also given. 37. y= X 38. 39. y =X 3 (1, 2), (0, 1) (-1,0) (2. ) (2, 1) (1, 0) 3 X (0, -1) -3 (-1, -1) 3 X -3 (-2, -2) (-2, -2) -하 -하 -하 40. 41. y = x 42. y = X (-2, 1). -3 3 X (1, -1)arrow_forward4. A ball thrown vertically in the air reaches its peak height after 3.5 seconds. If its height, as a function of time, is given by h =-16r + bt +4 , then which of the following is the value of b? x = - b/2a, x = 3.5, find b. (1) 56 (3) –112 (2) –56 (4) 112arrow_forward
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