By J. Douglas Faires, James DeFranza
Make the grade with PRECALCULUS and its accompanying expertise! With a spotlight on instructing the necessities, this streamlined arithmetic textual content offers you the basics essential to be triumphant during this course--and your destiny calculus path. routines and examples are offered within the related means that you're going to stumble upon them in calculus, familiarizing you with recommendations you will use back, and getting ready you to be triumphant. In-text research aids additional assist you grasp innovations.
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Find the area of the region containing the points satisfying |x| + |y| ≥ 1 and x 2 + y 2 ≤ 1. 66. Find the area of the region containing the points satisfying |x − 1| + |y + 2| ≥ 2 and (x − 1)2 + (y + 2)2 ≤ 4. 67. Towns A and B are connected by two roads that intersect at a right angle, as shown in the figure. The highway department needs to repair the roads and has decided instead to construct a new road that connects 25 A 4 C 3 5 Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.
Y = − 9 − x 2 35. y = |x| 5. 6. y 36. y = |x − 1| y 37. y = |x| − 1 x x 38. y = 2 − |x| In Exercises 39–42, complete the graph in the figure so the curve has the specified symmetry. 7. 8. y 39. x-axis symmetry y 40. y-axis symmetry 41. origin symmetry x x 42. x-axis and y-axis symmetry y 2 In Exercises 9–38, determine any axis intercepts and describe any axis or origin symmetry. 9. y = x + 3 10. y = 2x − 3 11. x + y = 1 12. −2x − y = 2 13. y = x 2 − 3 14. y = x 2 + 2 15. y = 1 − x 2 16. 2y = x 2 17.
77. You are contemplating investing $50,000 between two different investments. One of the investments, a stable one, returns 5% annually. A more risky one returns 9% annually. 5%. What is the maximum amount of the money that you can invest at the 5% rate? Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience.
Precalculus, 5th Edition by J. Douglas Faires, James DeFranza