og sinx cost D Check if the integral Sinx cosx dx is aboulte convergent, conditionally convergent...
4. (a) Indicate where the series is (i) absolutely convergent, n-1 where it is (ii) conditionally convergent, and where it is (iii) divergent. Justify your answers Find f,(z) if f(x) = arctan (e* ) + arcsin V2x + 4. (b) (a) Set up (but do not evaluate) a definite integral that represents the area 5. of the region R inside the circle r = 4 sin θ and outside the circle r = 2. Carefully sketch the region R. (i)...
4. (1.02/7.14 Points] DETAILS PREVIOUS ANSWERS SCALCETS 11.3.512.XP.MI.SA. This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Use the Integral Test to determine whether the series is convergent or divergent. ne-108 Step 1 In order to apply the Integral Test for the function f(x) on the...
6. We want to use the Integral Test to show that the positive series a converges. All of the following need to be done except one. Which is the one we don't need to do? (a) Find a function f(x) defined on [1,00) such that f(x) > 0, f(x) is decreasing, and f(n) = a, for all n. (b) Show that ſ f(z) dr converges. (e) Show that lim Ss6 f(x) dx exists. (d) Show that lim sexists. 7. Suppose...
[1.02/7.14 Points] DETAILS PREVIOUS ANSWERS SCALCETS 11.3.512.XP.MI.SA. MY NOT This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Use the Integral Test to determine whether the series convergent or divergent. Step In order to apply the Integral Test for the function f(x) on the interval (a,...
Hi there, Here are some mathematics MCQs I needed to check my answers to. Thanks :) Question 1 x2 (In z)dr equals Select one: O a. 2 3 1 a 3++c. ob. 2+ 2ln.z 0.2.+ + c. O d. 2. (In x)2 + 2x In x +c. o e. 22 (In x)² +c. Let x, y,b and N be positive real numbers. Which of the following statements is false? Select one: a. log, (+ y) = log, I + log,...