(a) Explanation Given information: The expression, y 2 + y − 6 . Formula used: Steps to calculate the factors of quadratic equation a x 2 + b x + c by trial and error method, Step1: Factor a x 2 as ( a 1 x ) ( a 2 x ) with a 1 positive. Step2: Factor c as c 1 c 2 . Step 3: Check if a x 2 + b x + c = ( a 1 x ± c 1 ) ( a 2 x ± c 2 ) If yes, then ( a 1 x ± c 1 ) ( a 2 x ± c 2 ) are the factors. Step 4: If not, try other factorization of a x 2 and c and repeat all the steps. The distributive law, ( a ± b ) c = a c ± b c Where, a, b and c are any real numbers. Calculation: Consider the expression, y 2 + y − 6 Factor of y 2 are ( y ) ( y ) and factors of − 6 are ( 1 ) ( − 6 ) , ( − 1 ) ( 6 ) , ( 2 ) ( − 3 ) and ( − 2 ) ( 3 ) (b) To determine To calculate: The value of y when the expression y 2 + y − 6 is equal to zero.

7th Edition

ISBN: 9781337291248

Author: Waner, Stefan.

Publisher: Cengage Learning,

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Chapter 0.3, Problem 38E

(a)

To determine

To calculate: The factors of the expression y2+y−6.

(b)

To determine

To calculate: The value of y when the expression y2+y−6 is equal to zero.

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Chapter 0.3, Problem 37E

Chapter 0.3, Problem 39E

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Exercises 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 + 2

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Chapter 0 Solutions

Applied Calculus

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Ch. 0.1 - Prob. 11E Ch. 0.1 - Prob. 12E Ch. 0.1 - Prob. 13E Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Prob. 15E Ch. 0.1 - Prob. 16E Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Prob. 18E Ch. 0.1 - Prob. 19E Ch. 0.1 - Prob. 20E Ch. 0.1 - Prob. 21E Ch. 0.1 - Prob. 22E Ch. 0.1 - Prob. 23E Ch. 0.1 - Prob. 24E Ch. 0.1 - Prob. 25E Ch. 0.1 - Prob. 26E Ch. 0.1 - Prob. 27E Ch. 0.1 - Prob. 28E Ch. 0.1 - Prob. 29E Ch. 0.1 - Prob. 30E Ch. 0.1 - Prob. 31E Ch. 0.1 - Prob. 32E Ch. 0.1 - Prob. 33E Ch. 0.1 - Prob. 34E Ch. 0.1 - Prob. 35E Ch. 0.1 - Prob. 36E Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Prob. 38E Ch. 0.1 - Prob. 39E Ch. 0.1 - Prob. 40E Ch. 0.1 - Prob. 41E Ch. 0.1 - Prob. 42E Ch. 0.1 - Prob. 43E Ch. 0.1 - Prob. 44E Ch. 0.1 - Prob. 45E Ch. 0.1 - Prob. 46E Ch. 0.1 - Prob. 47E Ch. 0.1 - Prob. 48E Ch. 0.1 - Prob. 49E Ch. 0.1 - Prob. 50E Ch. 0.2 - Evaluate the expression sin Exercises 116. 33 Ch. 0.2 - Prob. 2E Ch. 0.2 - Evaluate the expression sin Exercises 116. 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The factors of the expression y 2 + y − 6 .

Solution Summary: The author explains how to calculate the factors of the expression y2+y-6 by trial and error method.

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To calculate: The factors of the expression y2+y−6.

To calculate: The value of y when the expression y2+y−6 is equal to zero.

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Chapter 0 Solutions