[[F F = (4r³z, 4y³z, 3z¹) S is the surface of the solid bounded by the hemispheres z = √9x² - y², z = √√4- x² - y² and the plane z = 0. Calculate F.ds where 250

Q: Find the surface area of the part of the plane z = 4 + 3x + 7y that lies above the rectangle [0, 6]…

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Q: Evaluate SF. ds where F = (3xy², 3x M M is the surface of the sphere of radius 3 c the origin.

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Q: 1 -2 4 17. Let a 4 a2 -3 and b : For what 7 value(s) of h is b in the plane spanned by aj and a2?

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Q: . Consider the plane P : x +y + z = 2 and point A(0,1, 2). A line L has the parametric equations L:…

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Q: Find the area of the surface. The part of the plane z = 5 + 5x + 2y that lies above the rectangle…

A: given  z = 5 + 5x + 2y               ⇒  ∂z∂x = 5   and  ∂z∂y = 2                  ds =…

Q: Find the acute angle (in degrees) between the planes 2x + 5y2z = 4 and 2x + 2y - z = 1.

A: The planes given are

Q: 3. The part of the plane z = 1+ y that lies above the cone z = √2x² + 2y²

A: The part of the Plane z = 1+y that lies above the cone     z= √(2x^2  + 2y^2)

Q: Find the point on the sphere x² + (y + 2)² + (z+ 9)² = 4 nearest to a. the xy-plane. b. the point…

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Q: b) Find the angle between the surfaces x² + y² + ² = 19 and 2 = 2 x² + y²-7 at the point (3, 1, 3):

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