2x-y Findle-4-, where R is the parallelogram enclosed by the lines dA, This can be done directly with a tedious computation, or can be done with a change of variables to transform the parallelogram i...
Find integral integral _ 4x + 3y/2x - 3y dA, where R is the parallelogram enclosed by the lines -4x + 3y = 0, - 4x + 3y = 6, 2x - 3y = 1, 2x - 3y = 4 This can be done directly with a tedious computation, or can be done with a change of variables to transform the parallelogram into a rectangle.
4. Co ider dĀ, where R is the parallelogram enclosed by the lines x-3y=0, x-3y=4, 2x-y=2, Å 2x - y and 2x-y=7. Fill in the boxes: Let u=x-3y, and v= 2x - y. Then in terms of u and v, we can set up the PX - 3 ingen i 19 = 3/d2=SHH dvdu. (You do not actually evaluate the integral.) dvdu van de integral as: JJ 2 actually salane te imeni)
Let D be the rectangle enclosed by the lines x – 2y = 0, 2y 2, 2x + y 0 and 2x + y = 3. Using an appropriate change of variables evaluate х = (2x + y)(x – 2y) dA D
Find Sla 4x – 4y 52 + y dA, where R is the parallelogram enclosed by the lines 4x – 4y = 0, 4x – 4y = 9, 5x+y=1, 5x + y = 5 Preview Get help: Video Points nossible. 1
7. Let R be the quadrilateral bounded by the lines: y-2x = 0, y --23 = -9, 2y - x = 0, and 2y - = 4. Set up, but do not compute, the following integral with the given change of variables | || (34 – 30) da, u= »–20, y = 2y
Evaluate the given integral by making an appropriate change of variables dA, where R is the parallelogram enclosed by the lines x-7y-0, x-7y-9, 4x-y 6, and 4x-y= 7 R4x -y Need Help? Read ItWatch ItMaster ItTalk to a Tutor
8 0/1 points | Previous Answers SEssCalcET2 12.8.024 !My N Evaluate the integral by making an appropriate change of variables where R is the rectangle enclosed by the lines x -y-o, x -y-3, x+y o, and x y - s 9(x + y)e- y* dA, 8 0/1 points | Previous Answers SEssCalcET2 12.8.024 !My N Evaluate the integral by making an appropriate change of variables where R is the rectangle enclosed by the lines x -y-o, x -y-3, x+y o,...
(15 pts) Find (2x - y) dA, where R is the triangular region with vertices (0,0), (1, 1), and (2, -1). Use the change of variables u = x - y and v = x + 2y.
Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=4. Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=4.
(Change of Variables I) Let D be the region in the first quadrant between the hyperbolas xy = 4 and xy = 9, and between the lines x = 9y and y = 9x. (a) Compute the area of D. (b) Compute the centroid of D (i.e., the center of mass of D when D has constant mass density). (c) Does the centroid of D lie inside of D? Hint: Use the change of variables u = ry, v =...