In Exercises 27–34, use technology to approximate the given
.Then decide whether the associated improper integral converges, and estimate its value to four significant digits if it does. [HINT: See the technology note for Example 1.]
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Applied Calculus
- Section 3.7 p. 343/345 # 350 Evaluate the following integrals. If the integral is not convergent, answer “divergent." 99 1 dx 1 xln x 350arrow_forwardIn 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 79–84, use the Comparison Test to determine whether the improper integral converges or diverges. dx 80. | (sin? x)e¬* dx 79. x² – 4arrow_forward
- SECTION 7.7 Approximate Integration 565 30. The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as indicated in the figure. Use Simpson's Rule to estimate the area of the pool. ra 5.6 5.0 6.8 4.8 4.8 7.2 6.2 31. (a) Use the Midpoint Rule and the given data to estimate the value of the integral f(x) dx. f(x) f(x) 1.0 24arrow_forwardFind the smallest positive integer n such that xn =1 for all x inU(100). Show your reasoning.arrow_forwardThis is exercise 6 of Section 7.5 page 460. Find the integral tan(Va) dx | +Carrow_forward
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage