By Robert Smith, Roland Minton

ISBN-10: 0073383112

ISBN-13: 9780073383118

Now in its 4th version, Smith/Minton, Calculus bargains scholars and teachers a mathematically sound textual content, powerful workout units and chic presentation of calculus thoughts. while packaged with ALEKS Prep for Calculus, the best remediation device out there, Smith/Minton bargains a whole 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 variety of routines extra obvious. also, over 1,000 new vintage calculus difficulties have been extra.

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Additional info for Calculus, 4th Edition

Example text

Most graphing calculators and computer algebra systems can also find approximate zeros, using a built-in “solve” program. In Chapter 3, we present a versatile method (called Newton’s method) for obtaining accurate approximations to zeros. The only way to find the exact solutions is to factor the expression (using either long division or synthetic division). Here, we have √ √ f (x) = x 3 − x 2 − 2x + 2 = (x − 1)(x 2 − 2) = (x − 1)(x − 2)(x + 2), √ √ from which you can see that the zeros are x = 1, x = 2 and x = − 2.

5. 27c). 41. You can make these estimates more precise by zooming in even more closely. Most graphing calculators and computer algebra systems can also find approximate zeros, using a built-in “solve” program. In Chapter 3, we present a versatile method (called Newton’s method) for obtaining accurate approximations to zeros. The only way to find the exact solutions is to factor the expression (using either long division or synthetic division). Here, we have √ √ f (x) = x 3 − x 2 − 2x + 2 = (x − 1)(x 2 − 2) = (x − 1)(x − 2)(x + 2), √ √ from which you can see that the zeros are x = 1, x = 2 and x = − 2.

F (x) = 3 − 2x + x 4 36. f (x) = x 3 + 4x − 1 x4 − 1 38. f (x) = 2x − x 2/3 − 6 ............................................................ 5 x Ϫ3 Ϫ2 2 3 Ϫ5 Ϫ10 ............................................................ y 30. 10 In exercises 47–50, find the indicated function values. 47. f (x) = x 2 − x − 1; 5 Ϫ4 In exercises 39–46, find the domain of the function. √ √ x2 − x − 6 x + 2 40. f (x) = 39. f (x) = x −5 √ 1 41. f (x) = √ 42. f (x) = 3 3 + x 3 − 2x √ √ x2 − 4 43. f (x) = 3 x − 1 44.

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Calculus, 4th Edition by Robert Smith, Roland Minton


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