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In Exercises 1–42, evaluate the
[HinT: for 19–42: See Example 3.]
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Applied Calculus
- For Exercises 54–60, a. List all possible rational roots or rational zeros. b. Use Descartes's Rule of Signs to determine the possible number of positive and negative real roots or real zeros. c. Use synthetic division to test the possible rational roots or zeros and find an actual root or zero. d. Use the quotient from part (c) to find all the remaining roots or zeros. 54. f(x) = x' + 3x² – 4 55. flx) = 6x + x² – 4x + 1 %3D 56. 8x - 36xr? + 46x - 15 = 0 57. 2x + 9x2 - 7x + 1 = 0 58. x* - x - 7x2 + x + 6 = 0 59. 4x* + 7x - 2 = 0 60. f(x) = 2x* + x³ – 9x² – 4x + 4arrow_forwardFor the functions in Exercises 39–42,arrow_forward-9 2log10(x+1) Evaluate dx x+1arrow_forward
- In Exercises 45–50, use Taylor’s Theorem to obtain an upper bound for the error of the approximation. Then calculate the exact value of the errorarrow_forwardIn Problems 37–42, analyze each rational functionarrow_forwardSection 5.7 p. 613 # 398, 402 In the following exercises, find each indefinite integral, using appropriate substitutions. dx V1-16x 398. dx |x|/4x² -16 402.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage