In Exercises 11–52, decide on what substitution to use, and then evaluate the given
[HinT: See Example 4.]
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Applied Calculus
- 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_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_forwardEvaluate the integrals in Exercises 5–8arrow_forward
- In Exercises 1–14, to establish a big-O relationship, find wit- nesses C and k such that [f(x) k. 1. Determine whether each of these functions is O(x). a) f(x) = 10 c) f(x) = x² +x+ 1 e) f(x) = [x] b) f(x) — Зх +7 d) f(x) = 5 log x f) f(x) = [x/2] %3D %3Darrow_forwardIn Exercises 31–38, find the absolute maxima and minima of the func-tions on the given domains.arrow_forwardPlease answer the question shown below and show all work! Thank you!arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage