Evaluate the double integral I = Slo xy dA where D is the triangular region with...
(1 point) Evaluate the double integral / = - SD xy A where D is the triangular region with vertices (0,0), (4,0), (0,5).
Evaluate the given double integral by changing it to an iterated integral. xy dA; S is the triangular region with vertices (0,0), (10,0), and (0,7) O 35 12 0 1225 6 245 12 175 6
(1 point) Evaluate the double integral || 6xydA, where D is the triangular region with vertices (0,0), (1, 2), and (0,3). Answer:
Evaluate the integral by making an appropriate change of variables. Slo 3 cos (5(X+3) dA where R is the trapezoidal region with vertices (8,0), (9, 0), (0, 9), and (0,8) 17 sin(5) 2 x
Write an iterated integral to evaluate the integral || 2?;} dA where R is the triangular region with vertices (18,0), (13,9) and (18,13). R Select all that apply -7 5 162 5 162 18 9 5 2+ - [ ] 22,3 dA= 5 22 43 dy do -7 + R 5 5 S] =2,3 dA – S139 -7 + 5 5 162 -2 + 5 5 22y3 dy do R 13 22,3 dA= -7 5 22 162 5 dy do...
Q) Calculate ;) SS the value of the double integral triangular region with vertices (0,0), (1, 1) and (0,1)) 16. 1} dA 5 & 1 + x2 ;;;) SlxdA ; R R x=8- y² I quadrant between the circles' x² + y² = 1 and x² + y²=2 circles}
(b) Evaluate the double integral e(y-2)/(y+2) dA where D is the triangle with vertices (0,0), (2,0) and (0,2). (Hint: Change variables, let u = y - x and v = y + x.)
6. Use the additivity of the double integral to evaluate the double integral of f(x,y) = x2-y2 over the region that is a disk x2 + y2 < 4 with a triangular hole with vertices (0,0), (0,1), and (1,1).
1. Use Green's theorem to evaluate the integral $ xy dx - x^2 y^3 dy, where C is the triangle with vertices (0,0), (1,0) y (1,2)
3. Draw the region D and evaluate the double integral using polar coordinates. dA, D= {(x, y)| x2 + y² <1, x +y > 1} (b) sin(x2 + y2)dA, D is in the third quadrant enclosed by D r? + y2 = 7, x² + y2 = 24, y = 1, y = V3r.