In Exercises 11–52, decide on what substitution to use, and then evaluate the given
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Chapter 6 Solutions
Applied Calculus
- In Exercises 19–22, show there is a number c, with 0 ≤ c ≤ 1, such that f(c) = 0. 19. F(x) = x3 +x3− 1arrow_forwardIn 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_forwardFor the functions in Exercises 39–42,arrow_forward
- In Problems 69–74, find the real zeros of f. If necessary, round to two decimal places.arrow_forwardFor Exercises 9–14, find the modulus of each complex number. (See Example 2) 9. а. 20 - 21i b. -11 + 60i 10. a. 5 + 12i b. 7 - 24i 11. а. 4 6i b. -5 + 5i 12. a. -14 + 6i b. 3 + 9i 1 13. a. 3 2 3 b. - + -i 3 8 V3. b. -1 + 14. a. 2i 3 Too 2.arrow_forwardClassify the quadratic forms in Exercises 9–18. Then make a change of variable, x = Py, that transforms the quadratic form into one with no cross-product term. Write the new quadratic form. Construct P using the methods of Section 7.1. 11. 2x² + 10x1x2 + 2x3arrow_forward
- In Problems 31–34, find the complex zeros of each polynomial function f1x). Write f in factored form.arrow_forwardFor Exercises 66–68, find the indicated value. a. v. w b. v. v 66. v = (12, 8), w = (-3, –5) 1 8 3 67. v = -i+ 2 3j, w = -8i - %3D 68. v = - 14i + j, w = 80i 30jarrow_forwardPlease answer the question shown below and show all work! Thank you!arrow_forward
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