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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Textbook Question
Chapter A.4, Problem 15E
In Problems 1–22, perform the indicated operations and reduce answers to lowest terms.
15.
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For Exercises 5–10,
a. Simplify the expression.
b. Substitute 0 for h in the simplified expression.
2(x + h)? + 3(x + h) ·
5.
(2x + 3x)
3(x + h - 4(x + h) – (3x - 4x)
6.
h
1
1
1
1
(x + h) – 2
7.
x - 2
2(x + h) + 5
8.
2x + 5
h
(x + h) – x
9.
(x + h)
10.
- X
h
h
. 3x + 1 = x² + 7x – 1
5. Solve.
3
1 8
x² – 25
x+5
x-5
Chapter A.4 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. A.4 - Reduce each fraction to lowest terms....Ch. A.4 - Reduce each rational expression to lowest terms....Ch. A.4 - Prob. 3MPCh. A.4 - Combine into a single fraction and reduce to...Ch. A.4 - Express as a simple fraction reduced to lowest...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 3ECh. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 5E
Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 7ECh. A.4 - Prob. 8ECh. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 14ECh. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 18ECh. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - Prob. 25ECh. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - Prob. 30ECh. A.4 - Prob. 31ECh. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - In Problems 2334, perform the indicated operations...Ch. A.4 - Prob. 34ECh. A.4 - Prob. 35ECh. A.4 - In Problems 3542, imagine that the indicated...Ch. A.4 - Prob. 37ECh. A.4 - In Problems 3542, imagine that the indicated...Ch. A.4 - In Problems 3542, imagine that the indicated...Ch. A.4 - In Problems 3542, imagine that the indicated...Ch. A.4 - In Problems 3542, imagine that the indicated...Ch. A.4 - In Problems 3542, imagine that the indicated...Ch. A.4 - Represent the compound fractions in Problems 4346...Ch. A.4 - Represent the compound fractions in Problems 4346...Ch. A.4 - Represent the compound fractions in Problems 4346...Ch. A.4 - Represent the compound fractions in Problems 4346...
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- Subtract 1.2a“ – 0.7a from the sum of 0.6 a4 + 1.5a and 0.4 a4 - 1.1a First, we will translate the words of the problem into mathematical symbols. Then we will perform the indicated operations. The words of the problem contain the key phrases subtract from and sum. Since 1.2a4 – 0.7a is to be subtracted from the sum, the order must be reversed when we translate to mathematical symbols. Subtract 1.2a4 0.7a from the sum of 0.6a + 1.5a and 0.4a4 1.1a. [(0.6 a4 + 1.5a) + (0.4 at – 1.1a) ] - (1.2a* – 0.7a) Use brackets [ ] to enclose the sum. Next, we remove the grouping symbols to obtain 0.6 a4 + 1.5a + 0.4 at – 1.1a -1.2a4 + 0.7a Change the sign of each term within (1.2a4 - 0.7a) and drop the parentheses. at+ a Combine like terms. %D Subtract -0.6q? – 0.6q from the sum of 0.1q? - 0.6q and 0.3q² + 0.1q.arrow_forwardIn Problems 5–12, tell whether the given rational expression is proper or improper. If improper, rewrite it as the sum of a polynomialand a proper rational expression.arrow_forwardWhat is the smallest positive integer value of x where y=3x exceeds y=3x+3? What is the corresponding value for y?arrow_forward
- For Exercises 39–42, multiply the radicals and simplify. Assume that all variable expressions represent positive real numbers. 39. (6V5 – 2V3)(2V3 + 5V3) 40. (7V2 – 2VIT)(7V2 + 2V1T) 41. (2c²Va – 5ď Vc) 42. (Vx + 2 + 4)²arrow_forward.2 y = 4 - x² and x +y = 2.arrow_forwardExercises 38–40 will help you prepare for the material covered in the first section of the next chapter. In Exercises 38-39, simplify each algebraic expression. 38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6) 39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9) 40. The figures show the graphs of two functions. y y 201 10- .... -20- flx) = x³ glx) = -0.3x + 4x + 2arrow_forward
- 2. Solve (x + 3)² – 4(x + 3) + 3 = 0.arrow_forward3. Simplify (x+ 2)(x2+3x- 4). O A. x3 + 5x2 – 10x – 8 O B. x³ + 5x² + 2x – 8 C. x3 + 5x2 + 10x – 8 D. x3 + 5x2 + x - 8arrow_forward5. Solve -2(x + 1)(x – 4)(x + 7)(2x – 5) < 0 using a factor table. Express your answer using interval notation.arrow_forward
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