Evaluate , x*+2y* D 2x++8y++2z+ dV, where D is the region enclosed by the spherical surface x2 + y? + z? = 1. Correct the result to 4 decimal places.

Q: . Find the distance between (5, 3?/2 , 0) and (5, ?/2 , 10)in cylindrica

A: Let the given two points are converted into cartesian system and then and find out the distance

Q: When I was considering what to do with my $10,000 lottery winnings, my broker suggested that I…

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Q: Let B be the ball with center at the origin and radius 1 SS $3(x² + y? + z²)dV = B

A: Solve integral by using Cylindrical cordinates

Q: Find and equatin for the parabolid z = x^2+y^2 in spherical coordinates

A: Given query is to find equation of paraboloid in spheo coordinates.

Q: 6) x² + (y – 4)² = 4 Center Radius

A: The given equation is x2+(y-4)2=4This is in the form of (x-h)2+(y-k)2=r2 which is a circle equation…

Q: Transform (0, 5, 2) from rectangular into spherical form (here z is any negative number).

A: given rectangular coordinates is of the form (x, y, z) are (0,5,z) Now we are going to find…

Q: 1. Find the area of the portion of the plane Зх — Зу + 2 — 12 that lies inside the cylinder y? + 22…

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Q: Find the "Area" of the "Surface" The part of the paraboloid (x y² + z²) that lies within the…

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Q: Evaluate /| cos(x? + y²) dA, where D is the D disk x? + y <I Select one: a. -n O b. A O c. O O d. 2…

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Q: express the point (x,y,z) = (0,1,0) in spherical coordinates. Show full and complete procedure

A: To express the point (x,y,z)=(0,1,0) in spherical coordinates,Using spherical coordinates…

Q: Q2: A cube of edge 24mm is resting on the top of a frustum of cone of base diameter 60mm and top…

A: We are asked to draw the isometric view of the solid.

Q: Use spherical coordinates to evaluate 1-²1-x²-x² 2-y2 (x² + y² + z²)² dz dy dx

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Q: 6) Find the area of the part of the sphere X² + y² + Z² = 4 that lies within the cylinder X² + y² =…

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Q: 12. Let R be the region of the plane R= {(r, y) : # 2 0 and ²+ y? < 2}. Describe R using polar…

A: Here, the given region is: R=(x,y):x≥0 &amp; x2+y2≤2

Q: Consider the equation uzz + 2/yuzy + tUyy = 0. Find the points in the ry-plane where the equation is…

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Q: Express the point (x, y, z) = (-2, 2, 2/2) in spherical coordinates.

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Q: Must the centroid of an isosceles triangle lie on the altitude to the base?

A: The centroid of an isosceles triangle lie on the altitude.

Q: 2. a) Give a representation of the cylinder y2 + z² = 16,-2 ≤ x ≤ 3 as a parametric surface. b) Find…

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Q: _(2²² + y² + z²)³/²dzdydx 1-z²-yª

A: Given ∫-11∫01-x2∫1-x2-y20(x2+y2+z2)32dzdydx Given instruction: To solve this integral convert…

Q: Find the surface area of that part of the plane 2x + 3y + z = 3 that lies inside the elliptic…

A: Given: The plane is: 2x+3y+z=3. The elliptic cylinder is: x225+y29=1. To Find: The surface area of…

Q: find the spherical coordinate of that point has rectangular coordinates RADIA RAQIA UNIVERSITY (x,…

A: Given point in rectangular coordinates, (x, y, z)=(2, -2, 2)

Q: Please review the screenshot and provide a solution. Please make sure that the solution is formatted…

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Q: Find a parametrization for the portion of the sphere x2 +y2 + z2 - 16 between the planes z =- 2/2…

A: we have been given a sphere x2+y2+z2=16 between the planes z=-22 and z=2

Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.