21, 25 and ill like In Exercises 20-38 use a contour integral to evaluate the improper...
#35,37 In Exercises 21 through 38, differentiate the given function and simplify your answer 21. f(x) (2x 3)14 22. fx) 23. f(x) = (2x + 1)4 24. f(x) = V 5x6-12 25. fx)-(a 4r3 78 26. ft) (3r 729)5 27, f(t) = V5 3x 28. f(x)=- (6x2 +5x+ 1)2 5rt_ V4x2 30. 4x +1 31. f(x)=: (1-x2)4 2 3(5x4 1)2 32. f(x) = (1-x2)4 (135) f(x) = (x + 2)3(2x-1)5 36. f(x) 2(3x 1)(5x 3)2 (1 -x 1 - 5x2...
Evaluate the improper integral or show that it is divergent. dc r2 + 4 S. 22 (22 + 4) da Loitzada dan poo Jo 1 + x2 1 1 + 9x2 dx
I want to know when to use shell method and when to use washer method. and how to evaluate the improper integral. 1. Consider the region bounded by the graphs of f(x)-21 and g(x) 3-x2. 1.(a). (5 points) Write the integral for the volume of the solid of revolution obtained by rotating this region about the x-axis. Do not evaluate the integral. 24a). (I point) Is the integral dx an improper integral? 2.a). (1 point) Is the integral dx an...
I need help with #2 and # 26 --> evaluate the integrals. EXERCISES 12.3 Fvaluate the integrals in Problems 1-32. 1. 33* dx (2.) S4e4x dx 3. Sex dx 4. Sex dx 5. / 1000e0.1* dx 6. | 1600e0.4x dx 7. 1840e - 0.7* dx 8. S 250e -0.5x dx 10. fxe2x dx Sxe3xdx dx 22. 1 78² 4x² - . dx Ix 4x3 + 2x I x² + x² ur 7 da -dz 28. [ (x + 2) dx...
4x+12 (10 marks) Evaluate the integral. Use the proper notation with limits. S -da (x2+4)(x+5)
Please solve #13 and #17. In Exercises 13-16, use the shell method to set up and evaluate the integral that gives the volume of the solid generated hy revolving the plane region about the x-axis. 14.,-2-х 13.) у х 12 -2十 In Exercises 17-20, use the shell method to find the volume of the solid generated by revolving the plane region about the indicated line. x2, y 4x x2, about the linex-4 y In Exercises 13-16, use the shell method...
Question 2 please 1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
21-23 Use the given transformation to evaluate the integral. 21)--2x + y, v = 9x + y; 21) (y-2x)(9x + y) dx dy where R is the parallelogram bounded by the lines y - 2x +6.y -2x+7.y 13 A) D) 1573 B) 1573 C) 22) // f (x2 + y2 +內0xdy dz. x2 y2 22 where R is the interior of the ellipsoid 1002361 D) 180: C) 240π B) 20От A) 120π 23) Solve the problem. 23) Evaluate x2- y...
2. 10 23 x · [In(x)]2 Jg x+2 In Problems 1-26, evaluate each improper integral, or show why it diverges. po 1 5 1. dx dx 2 3. dx 4. dx 13 1 + x2 5 X 5. dx 6. dx x. In(x) Jo 1 + x2 1 7 dx 8. dx -2 J3 (x - 2)2 1 1 9. dx 10. dx (x - 2) 1 11. dx 12. dx J3 (x+2)3 14 1 1 13. dx 14. dx...
9,17,33 and ill like cos 22 14. 2+1 In Exercises 1-26 find the Taylor series for the function about the given point. In each case determine values of z for which the series converges to the function. 3 1. + about zo = 0 2. 1+2 about = 1 3. (1 - 2)2 about 20 = 0 4. e* about 20 = 1+i 5. sin z about 20 = i 6. cos z about zo = 2 - 7. sinh...