7. Evaluate the integral (f 1x +1d4, where D is the region bounded by the lines...
Please answer number 6, and show and expkain your steps thank you 6. Find the absolute maximum and minimum values of fon D, where f(x,y)= x’ – 2xy +2y and D={(x,y)|05x53,0 sys2}. 7. Evaluate the integral [[ V«?+1d4, where D is the region bounded by the lines D y=0 and x =1, and the curve x= vy. You must evaluate this integral by hand and show all the steps that lead to your answer. Give the exact answer.
Use a change of variables to evaluate the double integral below, where D is the region bounded by the four lines y − x=0 y − x = 5 y + x = 2, and y + x = 4:
6={(x,y,z)[05x5,05 ys1,05=521–ya 11. Use a triple integral to find the volume of the region: E={( You must evaluate this integral by hand and show all the steps that lead to your answer, including all substitutions needed. You may not use a table of integrals or technology to evaluate this integral. Give the exact answer.
Use the given transformation to evaluate the integral. 10xy da, where is the region in the first quadrant bounded by the lines y = 1x and y = 3x and the hyperbolas xy - 3 and xy = 3; xu/v, y v
Use the transformation and to evaluate the integral where is the region bounded on the by the ellipse Let S be the image of R under T on the . Sketch regions R and S. Set up the integral as an iterated integral of a function over region S. Use technology to evaluate the integral. Give the exact answer. We were unable to transcribe this imageWe were unable to transcribe this imageR xdA We were unable to transcribe this imageWe were...
7. Set up and evaluate an integral that represents the volume of the solid under the plane y-z = 1 and above the bounded region enclosed by x 2y-y2 and x + y -4 For full credit, you must draw the region, find the points of intersection and show all steps. 7. Set up and evaluate an integral that represents the volume of the solid under the plane y-z = 1 and above the bounded region enclosed by x 2y-y2...
please provide answer with graphs Evaluate the integral where R is the region bounded by the graphs of r = 0, r = 1, y = 0 and y = 1 by means of the change of variables u = 2.ry, v = 22-y.
(1 point) Evaluate the triple integral redV where E is the region bounded by the parabolic cylinder z 1-y2 and the planesz = 0, x = i, and x =-1. (1 point) Evaluate the triple integral redV where E is the region bounded by the parabolic cylinder z 1-y2 and the planesz = 0, x = i, and x =-1.
8. Sketch the region of integration and evaluate the integral re dx dy, where G is the region bounded by 0,1, -o,y- 8. Sketch the region of integration and evaluate the integral re dx dy, where G is the region bounded by 0,1, -o,y-
Evaluate the double integral of f(x, y) = x + y over the region R bounded by the graphs of x = 14, y = 4, y = 8, and y = 3x-1. Answer: Next page