Triple Integration Problems. 1. Integrate zdV JJ w where ll' is enclosed by the planes z = 0 and cylinders x2 + y2 4 and x2 + y,: 9 = x+9+ 3 and by the 2. Integrate where E is bounded by the zu-pl...
Evaluate the triple integrals JR V and JSSR zdv, where R is the region bounded above by the sphere x2 +y2+22 : 4, below by the cone 3za_ x2 + y2, and such that y 2 0 Evaluate the triple integrals JR V and JSSR zdv, where R is the region bounded above by the sphere x2 +y2+22 : 4, below by the cone 3za_ x2 + y2, and such that y 2 0
. xydV SIS xydzdxdy E where E is bounded by the parabolic cylinders y = x2 and x = y2 and the planes z = 0 and z = x + y. Find a,b,c,d,e,f. Be careful with the order of the variables! 1. y 2. x + y e = < 3. y2 a = V 4. Vý b= 5. "Vx d = 6. X 1. y 2. x + y e = 3. y2 a = 4. b= 5....
Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic cylinders y = 1 − x2, y = x2 − 1 and the planes x + y + z = 2, 6x + 4y − z + 16 = 0.
9. Let Q be the solid bounded by the cylinder x2 + y2 = 1 and the planes z = 0 and z = 1 . Use the Divergence Theorem to calculate | | F . N dS where s is the surface of Q and F(x, y, z) = xi + yj + zk. (a) 67T (d) 0 (b) 1 (e) None of these (c) 3π 9. Let Q be the solid bounded by the cylinder x2 + y2...
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
please help me solve the following question 8. Compute JJ f dS where f(x, y, 2)22+2 and S is the top hemisphere x2 + y2 + Z2, 220. 9. Compute JJ F-n dS where F-: (x, y, z) and s is the cone z2 x2 + y2, 0 S 2 1; with the outward pointing normal. 8. Compute JJ f dS where f(x, y, 2)22+2 and S is the top hemisphere x2 + y2 + Z2, 220. 9. Compute JJ...
please do no. 4 3. Evaluate the triple integral JIJD rdV, where D is the solide by the parabolic cylinder y and the planes 0 where D is the solid enclosed a picture. 4. Use triple integrals to represent the volume of the solid inside the cylinder x2 + y2 = 9, below the semi cone-va2t7 and above the plane z 0. Sketch a picture. 3. Evaluate the triple integral JIJD rdV, where D is the solide by the parabolic...
5. Evaluate /// (y +z) dV where E is bounded by x = 0, y = 0, x2 + y2 + z2 = 1, and x2 + y2 + 2?" = 9. Use spherical coordinates. Answer must be exact values.
show all work thank you 4) (5pts) the region under the surface z x2+ y4, and bounded by the planes x-0 and y-9 4 2 and the cylinder y x 4) (5pts) the region under the surface z x2+ y4, and bounded by the planes x-0 and y-9 4 2 and the cylinder y x
Please do #2 40 1. 16 pts) Evaluate the integral( quadrant enclosed by the cirle x + y2-9 and the lines y - 0 and y (3x-)dA by changing to polar coordinates, where R is the region in the first 3x. Sketch the region. 2. [6 pts) Find the volume below the cone z = 3、x2 + y2 and above the disk r-3 cos θ. your first attempt you might get zero. Think about why and then tweak your integral....