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1. Evaluate the following integrals by transforming them to polar form (3r + 2y2)dydr, (2 +y)dydr, (r2 -)dydr, 22ydr o Jo (23y) dydr, 2 3y) dydr, 1. Evaluate the following integrals by transform...
1. Evaluate triple integrals. sinx sin y dzdydx (a)Jo So (b) o JoV dz dxdy
Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy dx.
Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy dx.
Answer the following questions using the function -3y f(x,y) = 2y2 + 1 Plot fíx, y) using filled.contour) Please include code for ths Buestion Thanks
Answer the following questions using the function -3y f(x,y) = 2y2 + 1 Plot fíx, y) using filled.contour)
Please include code for ths Buestion Thanks
3) Evaluate the following integrals: 13 dx Jo (x2 +93/2 +9)3/2 dr
1. Evaluate the iterated integrals: x2+2x+y a. JR 3x+3y dA, R: 15x32,0 sys 1 (Hint: Simplify the integrand first.) b. S ey/*dA where R is the region in the xy-plane bounded between y = x2 and y = x over the interval 1sx52. c. So Sex Sx**2 x dydzdx
Evaluate the integral: dzdrdy where B is the cylinder over the rectangular region R {(x,y) E R2:-1 1,-2y2) sin z sy and above by the sr of the , bounded ethe surface 12 уг 2- face of elliptical paraboloid 37 42081
Evaluate the integral: dzdrdy where B is the cylinder over the rectangular region R {(x,y) E R2:-1 1,-2y2) sin z sy and above by the sr of the , bounded ethe surface 12 уг 2- face of elliptical paraboloid...
JO SUUS. 7.12. Solve the BVP y" = -2e-3y + 4(1+x)-3, 0<x<1, subject to y(0) = 0, y' (O) = 1, y(1) = In 2. Compare to the exact solution, y(x) = ln(1+x).
Evaluate the following integrals. Please check the function to be integrated and the order of integration carefully! [6 points each] grals. Please check the function to be integrated and the order of a.) 5° L. (204 – 3) dy do b.) 1/3 2/6 sin(x + y) dx dy Jo Jo ) DA R: 1 < x < 3; 1 <y <4 JR
1. (34, 12) Evaluate the following integrals. For definite integrals, give answers in exact form. For indefinite integrals give your final answer in the variable x. Show work. THE WORK YOU SHOW MUST BE WRITTEN CORRECTLY. A. $()(**)dk 1. Continued. - B. -dx C. [vcosô sinº Odo
Problem 2. Evaluate each of the following integrals. a) In(4x) dx 1 4x+1 dx ex b) Jo c) S (5x-2)e 6x dx