Evaluate % Inz dx by following the steps Step 1 For what value of r does...
f(x)dx=_, | f(r)dr? Given that what IS Preview answer Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the labeled regions are A1-5, A2-4, A3-2 and A4:1 y-fx) A1 АЗ A2 igure is NOT to scale Enter your answer as a whole number Evaluate dx. 1 + e1.82z 71.7 answer If -16 f(x)dx = 12 and r-16 g(x)dx = 15 J- 85 and -16 h(z)dz 21 -85 what does the following integral...
please i need final answers just just put option and write answer don t need to solve need it asap please thanks Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. If more than one method applies, use whatever method you prefer. rdx ſ dx Choose the correct answer below. OA. 1 By the Direct Comparison Method, converges because Os s +4 a on 3, 00) and x dx converges. x +...
1- 2- Tutorial Exercise Evaluate the indefinite integral. Jerez 42 + ex dx Step 1 We must decide what to choose for u. If u = f(x), then du = f'(x) dx, and so it is helpful to look for some expression in Jerez 42 + ex dx for which the derivative is also present. We see that 42 + ex is part of this integral, and the derivative of 42 + ex is ex et which is also present....
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- 2- 3- Tutorial Exercise Evaluate the indefinite integral. Vinter dx 1 + x18 Step 1 We must decide what to choose for u. If u = f(x), then du = f'(x) dx, and so it is helpful to look for some expression in x8 dx for which the derivative is also present, though perhaps missing a constant 1 + x18 factor. 17 Finding u in this integral is a little trickier than in some others. We see that 1...
Answer H has been provided, please show work for your steps to the solutions Choose a coordinate system. 5. What is the electric field at point P due to the ring Segment i with charge Divide the ring into segments. of charge Q? We'll do the same steps. Use the coordinate system given. The ring has radius R, is in the xy plane, and the point is a horizontal distance - away on the - axis. 2 Identify the a)...
15 51=dz ProblemS ,,mdx dr Problem, 8 fipam dx § sins(5x)cosa(Sr)dx Problem 6 Problem 4 Problem, 91x-9ds noblen, 7/ǐ Prablem 10 Problem 11 Evaluate each improper integral for, arctan ) dx ill 182+ 9 x2-4 Problem 12 The area of the region bounded by the parabola x-y-3) and the line y x is Problem 13 The base of a solid S is the parabolic region (x,y): xs y perpendicular the y-axis are squares. Find the volume of the solid S...
Q1. DELTA FUNCTIONS! a) Calculate the following integrals, assuming c=2 in all parts! In part iv, assume the volume V is a sphere of radius 1 centered on the origin, and the constant vector ro = (0,3,4) c 8(x-c)dx (Hint: watch out for limits of integration. Remember, c=2 throughout) 8(x-c)dx iii) Sºx-cl 8(2x)dx (Hint: see Griffiths Example 1.15) iv) SS ir-r, 8(r)dr v) M F-F, P 8°(27)di (Hint: 8' () = 8(x)O(y)8(z)) b) Evaluate the integral ſ (1+e") ( )dt...
Consider the generalized integrator function (2) discussed in class, defined by its proper- ties: | dr 8(x) = 1, Ve > 0, | dx 8(x) = 12+ = ſo if r* <0 11 if x* 20' dx 8(2 – c)f(x) = f(c), VER, where dc 8() is understood as a slight abuse of notation and f(x) in the last formula is a suitably well-behaved (at least bounded and continuous - and perhaps even smoother- in a neighborhood of x=c) function...