1. Sketch the region R of integration. Switch the order of integration and then integrate the...
1/3 POINTS PREVIOUS ANSWERS LARCALC11 14.1.043. Sketch the region R of integration and switch the order of integration. 14 y 6° 6° fax, y) dx dy 7 OT 1 2 3 4 5 -1 0 012 2 0 3 4 5 1 2 3 4 5 14 y b l'acom a ty = * f(x, y) dx dy = 1 xf f(x, y) dy dx Jo Jo
The following integral can be evaluated only by reversing the order of integration. Sketch the region of integration, reverse the order of integration: and evaluate the integral. Integrate 4 0 Integrate 2 root x (x^2/y^7+1) dy dx Choose the correct sketch of the region below. The reversed order of integration is integrate integrate (x^2/y^7+1) dx dy. The value of the integral is .
Sketch the region of integration, reverse the order of integration, and evaluate the integral. 27 3 03 dy dx y? + 1 3x Choose the correct sketch below that describes the region R from the double integral. O A. B. C. D. Ay y 3- 27- 3- 27 х х 27 27 3 What is an equivalent double integral with the order of integration reversed? X dx dy + 1
3. First sketch the region of integration, reverse the order of integration and finally evaluate the resulting integral + ya exy dy dx y ev dy dit y=x
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-
13. (5 points) Reverse the order of integration for the following iterated integral. You do not have to integrate. cos y dy dx 14. (5 points) Integrate the function g(r,0) = p sin over the sector of a disc in the first quadrant bounded by the circle r² + y2 = 1, the circle r² + y2 = 4, the line y = rV3, and the r-axis. 15. (5 points) Convert the following iterated integral from Cartesian to polar. You...
5 pts] 5. A lamina (with uniform thickness 0.01 m) occupies the region 92 bounded by the graphs of y-sin(x), y :0 between x-0 and x-п. The density (in kg/m3) of the lamina at a point P(x, y, z) is proportional to the distance from P to the x- axis. . If δ (1, 1.5, 0-3 kg/m3 find the mass and center of mass of the lamina. Sketch Ω 5 pts] 5. A lamina (with uniform thickness 0.01 m) occupies...
For the lamina that occupies the region D bounded by the curves x = y2 – 2 and x = 2y + 6, and has a density function: p(x, y) = y + 4, find: a) the mass of the lamina; b) the moments of the lamina about x-axis and y-axis; c) the coordinates of the center of mass of the lamina.
Changing the Order of Integration. In Exercises 11-14, sketch the region R whose area is given by the iterated integral. Then change the order of integration and show that both orders yield the same area. 11. Slayd SS 12. dx dy
MT212 HOMEWORK 1 1) Sketch the domain of integration and evaluate the given integral. | V1 – y4 dydx 2) Sketch the region R and evaluate Il cos(x) cos(y) cos(2) av 0 and over the tetrahedron defined by x>0, y 20, 2 x + y + z si