(1 point) Write limits of integration for the integral Jw g(x, y, z) DV, where W...
(1 point) Write limits of integration for the integral Jw g(x, y, z) DV, where W is the half cylinder shown, if the length of the cylinder is 2 and its radius is 2. Z y Jw 8(x, y, z) dV = Sa So So 8(x, y, z) dr d theta d X where a = 0 b= 2 с ,d = 3 e = 0 , and f = 2
(1 point) Write limits of integration for the integral Sw f(x, y, z) dV, where W is the quarter cylinder shown, if the length of the cylinder is 3 and its radius is 2. Z Sw f(x,y,z) dV = SSS f(z,y,z)d d d where a = b= I d= and f (Note: values for all answer blanks must be supplied for this problem to be able to check the answers provided.)
Please try helping with all three questions.......please 1 point) Integratef(x, y, z) 6xz over the region in the first octant (x,y, z 0) above the parabolic cylinder z = y2 and below the paraboloid Answer Find the volume of the solid in R3 bounded by y-x2 , x-уг, z-x + y + 24, and Z-0. Consider the triple integral fsPw xyz2 dV, where W is the region bounded by Write the triple integral as an iterated integral in the order...
Could you complete the other four orders of integration not listed too? Thanks! 1 point) Writef(x, y, z)dV as an iterated integral in each of the six orders of integration, where E is the region bounded by the surfaces y 4-x2 - 4z2 and y 0 b 82x) f(x, y, z)dzdydx hix.y gi(x)- 82(x) h2(x, y) , b , g2(y) h2(x,y) f(x, y, z)dzdxdy b- a- 82() gi(y)- h(x,y h2(xy) 1 point) Writef(x, y, z)dV as an iterated integral in...
(1 point) Write a triple integral, including limits of integration, that gives the volume between z + 3y + z = 1 and 4x + 6y + z z+9-2,#20, y 0. 1 and above where a and f Note: values for all answer blanks must be supplied for this problem to be able to check the answers provided.) (1 point) Write a triple integral, including limits of integration, that gives the volume between z + 3y + z = 1...
8. Write a triple integral including limits of integration that gives the volume between the top portion of the sphere x2 + y2 + 2 = 9 and the plane z = 2. Evaluate the integral. 9. Calculate the line integral fĒ. dr where F(x, y) = (x + y) 7 + (x+y); and C is the path given by r(t) = (t) 7 + (t?); for 0 <t<l.
10. Consider the integral (x + y + z) dV where D is the volume inside the sphere x2 + y2 + x2 = 9 and above the plane z = 1. (a) (3 marks) Express I as an iterated integral using Cartesian coordinates with the order of integration z, x and y. DO NOT EVALUATE THIS INTEGRAL. (b) (3 marks) Express I as an iterated integral using spherical coordinates with the order of integration p, 0, and 0. DO...
(1 point) Write a triple Integral, including limits of integration, that gives the volume between 3x + y + z = 4 and 4x + 4y + z = 4 and above x + y S3.x > 0.7 20. LAH! d volume d where a d e- and fa (Note: values for all answer blanks must be supplied for this problem to be able to check the answers provided.)
Enter the correct limits of integration. Use increasing limits of integration. Set up the iterated integral for evaluating SS S40,0,.2)dz f(r,0,z)dz r dr de over the region D, D where D is the solid right cylinder whose base is a region in the xy-plane that lies inside the cardioid r = 6 +6 cos 0 and outside the circle r=6, and whose top lies in the plane z = 24 SSS fr, 0z) dz r dr de (Type exact answers,...
Let ∭E (yz)dV, where E = {(x,y,z)/ x = 1 - y^2 - z^2, x>=0} a. Sketch E, the solid of integration. b. Sketch D, the region of integration in the plane the solid is projected onto. c. Evaluate the integral using cylindrical coordinates.