Q.38 The surface area of the sphere x² + y² +2²= 9 lying inside the cylinder x² + y² = 3y is 1. 18 (x+2) 2. 18 (x-2) 3.18 (x-4) 4. 18 (x+4)

Q: The intersection of the sphere (x-3)^2 + (x+2)^2 + (z-1)^2 = 49 with each of the coordinate planes…

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Q: 4. What general shape are the level cuves of z = √x² + y² - 4?

A: The objective is to tell the general shape .

Q: (x- 2y) dA on the parallelogram P bounded by y = 5 – 2x, y = 7- 2x, y = 3x – 6, and y = 3x + 2. Use…

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Q: A rectangle is to be inscribed inside the semi-circle with its base along the x-axis. The equation…

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Q: 18. A) Complete the square for y = 2x² − 12x – 14 B) Determine the coordinates of the vertex. Is it…

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Q: 口 3. Which equation represents a circle with center (-5, 8) and diameter of 14?

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Q: 13 14 15 17 0 6 (x + 7)²dx = 618 1107 10

A: Given query is to find statement is correct or not.

Q: Find the point on the sphere x? + y² + z² = 3 farthest from the point (-6, 6, –6). Farthest point is

A: Given equation of the sphere, Given point is (-6, 6, -6). Distance of the point (-6, 6, -6) from…

Q: 7. Approximate (22 + 3) dz using four rectangles and the left endpoint method.

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Q: 3) Find the laurent series expansion for c) 1-cosz (2-या) 3 7 1Z-2711 > D

A: 1. Laurent series of function f(z)  about z=z0 is  f(z) = ∑n=-∞∞anz-z0n, with  an define by the…

Q: Find the dimensions of a rectangle with an area of 196 square feet that has the minimum perimeter.…

A: It is given that area of the rectangle is 196 square feet. Let l and w be the length and width of…

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

A: Given equation of plane  z=6+7x+3y defined over D=[0, 4]×[0, 4] Now differentiate partially with…

Q: 6. The figure shows the surface created when the cylinder y² +2²=1 intersects the cylinder ²+²=1.…

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Q: how/demostrate that the surface

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Q: Find the distance d between the two parallel planes x + 2y 2z = −2 and x + 2y = 2z = 1.

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