By Robert Smith, Roland Minton

Now in its 4th version, Smith/Minton, Calculus deals scholars and teachers a mathematically sound textual content, powerful workout units and chic presentation of calculus strategies. while packaged with ALEKS Prep for Calculus, the best remediation device out there, Smith/Minton bargains an entire package deal to make sure scholars luck in calculus. the recent variation has been up-to-date with a reorganization of the workout units, making the diversity of routines extra obvious. also, over 1,000 new vintage calculus difficulties have been further.

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Extra resources for Calculus, 4th Edition

Example text

In exercises 1–28, solve the inequality. 5. 4 − 3x < 6 6. 5 − 2x < 9 7. 4 ≤ x + 1 < 7 8. −1 < 2 − x < 3 9. −2 < 2 − 2x < 3 10. 0 < 3 − x < 1 11. x 2 + 3x − 4 > 0 12. x 2 + 4x + 3 < 0 13. x 2 − x − 6 < 0 14. x 2 + 1 > 0 15. 3x 2 + 4 > 0 16. x 2 + 3x + 10 > 0 17. |x − 3| < 4 18. |2x + 1| < 1 19. |3 − x| < 1 20. |3 + x| > 1 21. |2x + 1| > 2 22. |3x − 1| < 4 23. x +2 >0 x −2 24. x −4 <1 x +1 25. x2 − x − 2 >0 (x + 4)2 26. 3 − 2x <0 (x + 1)2 −8x <0 (x + 1)3 28. x −2 >0 (x + 2)3 1. 3x + 2 < 11 2. 4x + 1 < −5 27.

The Real Numbers and the Cartesian Plane 7 and the length of the vertical side of the triangle is |y2 − y1 |. The distance between the two points is the length of the hypotenuse of the triangle, given by the Pythagorean Theorem as (x2 − x1 )2 + (y2 − y1 )2 . 9. 9 y Using the Distance Formula Find the distances between each pair of points (1, 2), (3, 4) and (2, 6). Use the distances to determine if the points form the vertices of a right triangle. 6 Solution The distance between (1, 2) and (3, 4) is d{(1, 2), (3, 4)} = 4 (3 − 1)2 + (4 − 2)2 = The distance between (1, 2) and (2, 6) is 2 d{(1, 2), (2, 6)} = x 2 4 (2 − 1)2 + (6 − 2)2 = √ √ 1 + 16 = 17.

The chirping rate of a cricket depends on the temperature. A species of tree cricket chirps 160 times per minute at 79◦ F and 100 times per minute at 64◦ F. Find a linear function relating temperature to chirping rate. 78. When describing how to measure temperature by counting cricket chirps, most guides suggest that you count the number of chirps in a 15-second time period. Use exercise 77 to explain why this is a convenient period of time. 79. A person has played a computer game many times. The statistics show that she has won 415 times and lost 120 times, and the winning percentage is listed as 78%.

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