By Ron Larson
University ALGEBRA AND CALCULUS: AN utilized technique, moment version offers a entire source for faculty algebra and utilized calculus classes. The mathematical strategies and purposes are regularly offered within the comparable tone and pedagogy to advertise self belief and a gentle transition from one path to the subsequent. The consolidation of content material for 2 classes in one textual content saves teachers time of their course--and saves scholars the price of an additional textbook.
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Additional resources for College Algebra and Calculus: An Applied Approach
4 74. 3 ϩ 64Ϫ1 54 Ϫ 1 76. 4 5 ϩ1 115 173 53 Using a Calculator In Exercises 77–80, use a calculator to evaluate each expression. Write your answer in scientific notation. ) 77. 0052 78. 0061 79. 1 ϫ 10 ͒ 80. 34 ϫ 10Ϫ3͒22 81. 75%. Determine the balance in the account after 12 years when the interest is compounded (a) daily ͑n ϭ 365͒, (b) weekly, (c) monthly, and (d) quarterly. How is the balance affected by the type of compounding? (a) (b) y y 5000 5000 4000 4000 3000 3000 2000 2000 1000 1000 x x 0 1 2 3 4 5 6 0 1 2 3 4 5 6 83.
4x3 ϩ x Ϫ 5 6. 3x 4 ϩ 2x3 ϩ x2 Ϫ 1 Symbols of Grouping In Exercises 7–10, simplify the expression. See Example 2. 7. ͑2 Ϫ 7͒ ϩ 3 9. ͑4 Ϫ 7͒͑Ϫ2͒ 8. Ϫ3 Ϫ ͑5 Ϫ 2͒ 10. Ϫ5͑Ϫ2 Ϫ 6͒ Evaluating Algebraic Expressions In Exercises 11–16, evaluate the expression at each value of x. ) See Example 3. Expression 4x Ϫ 6 5 Ϫ 3x x 2 Ϫ 3x ϩ 4 Ϫx3 ϩ 2x Ϫ 1 x 15. xϪ2 11. 12. 13. 14. 16. xϩ3 xϪ3 Values (a) x ϭ Ϫ1 (a) x ϭ Ϫ3 (a) x ϭ Ϫ2 (a) x ϭ 0 (b) (b) (b) (b) xϭ0 xϭ2 xϭ2 xϭ2 (a) x ϭ Ϫ2 (b) x ϭ 2 (a) x ϭ 3 (b) x ϭ Ϫ3 Evaluating Algebraic Expressions In Exercises 17–22, evaluate the expression at x ϭ 3, y ϭ Ϫ2, and z ϭ 4.
Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 4 ■ Radicals and Rational Exponents 31 Simplifying Radicals Radical Expressions in Simplest Form An expression involving radicals is in simplest form when the following conditions are satisfied. 1. All possible factors have been removed from the radical. 2. All fractions have radical-free denominators (accomplished by a process called rationalizing the denominator). 3. The index of the radical has been reduced as far as possible.