Triple integral
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Triple integral Please show all work for a thumbs up, thanks bounded by the six planes...
Express the triple integral 2) d as an iterated integral in six different ways using different order of integration where T'is the solid bounded by the planes x = 0, y = 0,2-0 and + 4y + 5z = 12
using triple integral, find the volume of the solid bounded by the cylinder y^2+4z^2=16 and planes x=0 and x+y=4
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25) Use a triple integral in the coordinate system of your choice to find the volume of the solid in the first octant bounded by the three planes y =0 z 0, and z 1-x x y2. Include a sketch of the solid as well as appropriate projection and an Hint: for rectangular coordinates, use dV might not be given in the exam dz dy dx. This hint
25) Use a triple integral in the coordinate...
Set up the integral to find the volume of the tetrahedron bounded by the planes x + 2y + z = 8, x = 2y, x = 0, and z = 0, using a: a) double integral with order dydx. b) double integral with order dxdy. c) triple integral with any order of integration. YOUR WORK SHOULD INCLUDE A SKETCH OF THE REGION YOU ARE INTEGRATING OVER AND A CLEAR DESCRIPTION (CAN USE THE PICTURE HERE) OF HOW YOU ARE...
Use a triple integral to find the volume of the given solid. The solid bounded by the parabolic cylinder y = x2 and the planes z = 0, z = 10, y = 16.Evaluate the triple integral. \iiintE 21 y zcos (4 x⁵) d V, where E={(x, y, z) | 0 ≤ x ≤ 1,0 ≤ y ≤ x, x ≤ z ≤ 2 x}Find the volume of the given solid. Enclosed by the paraboloid z = 2x2 + 4y2 and...
Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid in the first octant bounded by the coordinate planes and the plane z = 5 - x - y
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Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
Let E be the solid bounded by the planes , , , , . Set up all six orders of integration for the evaluation of as an iterated integral. We were unable to transcribe this imageWe were unable to transcribe this imagey=0 We were unable to transcribe this imageWe were unable to transcribe this imagef(x, y, 2)d
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1. DETAILS Use the Divergence Theorem to calculate the surface integral SI F.ds, that is, calculate the flux of F across S. F(x, y, z) -e'sin(y)i + e cos(y)j + yzik, S is the surface of the box bounded by the planes x=0, x= 3, y = 0, y = 4, 2 = 0, and 2 = 2 Submit Answer
2. (13 points) Let E be the solid region bounded by the planes x = 0, y = 0, 2=0, and x+y+z=1. (a) Sketch E. (b) Set up the integral SSSe ex+y+z dV as a triple iterated integral. (c) Compute the integral.