By Robert Weinstock

The readability of exposition makes this ebook simply available to a person who has mastered first-year calculus with a few publicity to boring differential equations. Physicists and engineers who locate variational tools evasive every now and then will locate this e-book fairly helpful.

"I regard this as a really invaluable booklet which I shall consult with usually within the future." J. L. Synge,

*Bulletin of the yankee Mathematical Society.*

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**Example text**

12. 13. Simplifying Radicals 14–18 Simplify the given radicals. Assume all variables are positive. 14. 15. 16. 17. 18. Writing Exponents Using Radical Notation 19–20 Convert between exponential and radical notation. 19. Convert to radical notation. ) 20. Convert to exponential notation. The Horizontal Line Test 21–23 Use the horizontal line test to identify one-to-one functions. 21. Use the horizontal line test to determine which of the following functions is a one-to-one function and therefore has an inverse.

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. Simplifying Radicals 14–18 Simplify the given radicals. Assume all variables are positive. 14. 15. 16. 17. 18. Writing Exponents Using Radical Notation 19–20 Convert between exponential and radical notation. 19. Convert to radical notation. ) 20. Convert to exponential notation. The Horizontal Line Test 21–23 Use the horizontal line test to identify one-to-one functions. 21. Use the horizontal line test to determine which of the following functions is a one-to-one function and therefore has an inverse.

2x – 1)(x2 – x + 4) 97. –x(x4 + 3x2 + 2)(x + 3) Long Division of Polynomials 98–102 Use polynomial long division to divide. 98. 99. 100. 101. 102. Chapter 2 Trigonometry Review In addition to having a strong algebra background, you need a strong trigonometry skill set for calculus. You want to know the graphs of the trigonometric functions and to be able to evaluate trigonometric functions quickly. Many calculus problems require one or more trigonometric identities, so make sure you have more than a few of them memorized or at least can derive them quickly.