Let E be the part of the unit sphere r² + y²- = 1 where z > vx² + y². Calculate 22 dA.

Q: Consider the unit sphere x² + y² + z² = 1. Find the average distance from its north pole to a point…

A: Given: x2+y2+z2=1 It is equation of sphere of radius r=1 unit. We have to find the average distance…

Q: A sphere in the first octant is tangent to the three coordinate planes. What is the radius of the…

A: Given:- A sphere in the first octant is tangent to the three coordinate planes To find:- Radius of…

Q: Find the point on the sphere x +y +z = 4 farthest from the point (1, – 1,1). The point is ( ID:…

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Q: A glass sphere given by the equation (x-1)²+(y-2)²+(-3)² = 36 is floating above the plane 2x + y -…

A: The given problem is to find the point on given sphere is farthest from the given plane. Given…

Q: 91 a) Find an equation of the sphere with center (1,-3,-5) and tangent to xz-plane.

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Q: 2. Which cannot be represented by a scalar? a. speed b. velocity с. area d. mass

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Q: a) Find an equation of the sphere with center (1.-3,-5) and tangent to xz-plane.

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Q: The midpoint of v(2,10,14) is

A: Midpoint is found between 2 given coordinates.

Q: Find the image of the circle Iz| = 3 under the stereographic projection in the sphere.

A: We let G be a sphere in Euclidean three space. We want to obtain a picture of the sphere on a flat…

Q: For parts (a), (b), and (c) consider the solid that lies above x +y -z =0 and below by x² + y* +z…

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Q: S is the lower portion of the sphere x2 + y2 + z2 = 25 cut by the cone z = √√√x² +

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Q: Which of the following point is the farthest point on the sphere z? + y² + z² = 4 from the point…

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Q: Calculate the Y-coordinate of the centroid of the rectangle shown in .Figure

A: In this question, the coordinate of the centroid of the rectangle is applied.

Q: Find the point on the sphere X+y+=4 and the point on The sphere x+y ansi- 2 Selution:-

A: To find the point on the sphere which is farthest from the given  point (1,-1,1).

Q: #6) Find the lateral area of the prism 8. 6 7. 12 95

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Q: Let S be the unit sphere centered at the origin. What is ſſ (3+z) dS? (Use syntax like 2*pi/3 .)

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Q: Evaluate F. dS, where F = 6xy²i + 6x²yj + 2z°k and S is the surface of the unit sphere.

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Q: 2 Let w = z². Find the image of the first quadrant in z-plane

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Q: Let U = (2,1,0), V = (1,0,1), and W = (2, −1,1). Find the area of the triangle UVW

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