Use cylindrical or spherical coordinates, whichever seems more appropriate, to evaluate lies above the paraboloid z = x² + y2 and below the plane z = 4. 176.38 175.93 -160.28 175.37 67.02 SSS ₂ z dV where E E

Q: Use cylindrical coordinates. Evaluate √x² + y² dv, where E is the region that lies inside the…

A: The region lies inside the region x2+y2=4 and between the planes z=-5 and z=-2. We have to evaluate…

Q: Use spherical coordinates. |II (2 – x² – y²) dV, where H is the solid hemisphere x? + y2+ z² s 9, z…

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Q: Find a spherical coordinate equation for the cone z= Vx2 +y?? Select one: a. 4 b. Non of them С. r…

A: Use the spherical coordinates for this cone as in next step.

Q: a(s) (a cos), a sin). then the normal plane equation is: X=a .a O .b O None .c O y=0

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Q: Find the equation of the tangent plane to z = e + x + x* + 10 at the point (4, 0, 79). Submit answer

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Q: Find the tangent plane to the equation z = 7e²²-2y at the point (4, 8, 7) 2 II

A: Given:The equation is  and the points are .To Find:The equation of the tangent plane through  is…

Q: Find a spherical coordinate equation for the cone Z =Vx² + y2? Select one: а. 4 b. TT 4 С. 4 d. Non…

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Q: Evaluate y*dV, where E is the solid hemisphere x? + y? + z² 0. E (Hint: spherical coordinates)

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Q: Use spherical coordinates. Evaluate SSS √x² + y² + z² dv, where E lies above the cone z = √x² +1 and…

A: The equation of the cone is z=x2+y2. The equations of the sphere are x2+y2+z2=1 and x2+y2+z2=4. We…

Q: Describe the bifurcation for the following dy - Ay - y %3D dt

A: The saddle node-bifurcation: Let y˙=f(α,t) is the system of equation, the to find the saddle-node…

Q: Evaluate each side of Stokes theorem for a portion of sphere : r=2m , Θ = π/3, 0 < ɸ < π H= 2r cosΘ…

A: This question is about application of stkoes theorem

Q: Explain how to verify an identity.

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Q: ind an equation of the tangent plane at P = ( 2,3, - 3 |to the given surface. 10x? + z?e"-* = 49…

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Q: Change the following spherical coordinates to cylindrical coordinates (4, π/3, π/3).

A: We have to change the spherical coordinates (4 , π/3 , π/3) to cylindrical coordinates.

Q: 3. Use spherical coordinates to valuate ff, y? dV where E is enclosed by the hemisphere x? + y? + z?…

A: Given that  ∫∫∫Ey2dV and  enclosed by the hemisphere, x2+y2+z2≤9,y≥0 Here to evaluate the integral,…

Q: O is the centre of the circle in all the sk 1. Determine the sizes of the angles marked a to z…

A: Disclaimer: Since you have posted a question with multiple sub-parts; we will solve first three…