Technical Mathematics with Calculus, Sixth Edition by Paul A. Calter, Michael A. Calter

By Paul A. Calter, Michael A. Calter

This textbook has been in consistent use on account that 1980, and this version represents the 1st significant revision of this article because the moment version. It was once time to pick, make demanding offerings of fabric, polish, refine, and fill in the place wanted. a lot has been rewritten to be even cleanser and clearer, new positive factors were brought, and a few peripheral themes were removed.The authors proceed to supply real-world, technical purposes that advertise intuitive?reader studying. various absolutely labored examples and boxed and numbered formulation supply scholars the basic perform they should research arithmetic. laptop initiatives are given whilst applicable, together with uncomplicated, spreadsheets, machine algebra structures, and computer-assisted drafting. The graphing calculator has been absolutely built-in and calculator monitors are given to introduce computations. every thing the technical pupil might have is incorporated, with the emphasis constantly on readability and useful functions.

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Additional resources for Technical Mathematics with Calculus, Sixth Edition

Example text

The Ϫ key is only for subtraction. Multiplication of Approximate Numbers ■ Exploration: Try this. 75, and write down the full calculator display. 754 before it was rounded in some previous step. 746. How does this affect the product? 754. 43 take on some uncertainty. What can you conclude about whether all those digits in the product should be kept? Repeat this exploration with other approximate numbers. Do you see the reason for the following rule? ■ Rule ◆◆◆ When multiplying two or more approximate numbers, round the result to as many digits as in the factor having the fewest significant digits.

It is, TI-83/84 screen for the Example 55. Fractional Exponents n a1/n ϭ 2a 29 In other words, taking the nth root of a number is the same as raising that number to the (l/n)th power. So, for example, to take a fifth root of a number, we simply raise that number to the 1/5 power. 4, Example 56: The keystrokes for finding 1 ◆◆◆ are shown. 2 ϭ 1/5. In fact, we will show in the next chapter, that we can raise a base to any decimal or fractional power. ◆◆◆ TI-83/84 screen for Example 56. 27 ◆◆◆ Example 58: An Application.

1136 C 71 2404 A 601 19. 4 20. 2961 ϩ 2121 4 625 ϩ 2961 Ϫ 2 3 216 21. 2 4 256 ϫ 349 22. 2 Combined Operations with Approximate Numbers Perform each computation, keeping the proper number of digits in your answer. 23. 64) 24. 59) 25. 72) 26. 604 29. 91 809 Ϫ 463 ϩ 744 30. 758 Ϫ 964 ϩ 508 27. 28. 31. 36)2 32. 24)4 33. 05)2 34. a 35. a 36. 62 3 657 ϩ 553 Ϫ 842 37. 2 38. 93) 39. 2 40. 81 653 A 601 41. 4 42. 2 Ϫ 2 3 284 43. 2 44. 3 45. Writing: Suppose you have submitted a report that contains calculations in which you have rounded the answers according to the rules given in this chapter.

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