Use a double integral to find the surface area of the portion of the paraboloid, x² + y² + z = 16 that lies inside a cylinder x2 + y² = 9. Leave your answer in two decimal places.

Q: Determine the area bounded by the ellipse satisfying:(101x+ 10y)2+ (20x+ 2y)2= 1.

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Q: 2. Sketch the cylinder y = x² +1.

A: complete graph provided below with python code Explanation:  code behind above :  import numpy as…

Q: Find the surface area of that portion of the sphere x² + y² +2²= 8 which lies in the first octant,…

A: The given problem is to find the surface area of portion of the given surfaces. Given portion of…

Q: Find the surface area of the portion of 4x + 3y + 5z = 8 that lies inside the cylinder x² + y² = 49.

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Q: enclosed betw parabola y = x2

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Q: Find the area of the surface. T'part of the paraboloid x = y² + z² that lies inside the cylinder y²…

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Q: Use the change in variables s = x + 4y, t = y to find the area of the ellipse x^2 + 8xy + 17y^2,…

A: We have to find the area of the ellipse  x2+8xy+17y2≤1. Use the change in variables s=x+4y and t=y…

Q: Explain why C lies on the surface of the cylinder x² + y² = 1.

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Q: Classify the quadric surface ² - y² - x² + 4x = 5. 2 य

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Q: Find the surface area of the object obtained by rotating x = Vy-6 2sys3 about the y-axis.

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Q: Example: Find the surface area of the curve described by x = t³, y = t², 0<t<1, rotated about the…

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Q: A light bulb is designed by revolving the graph of y = the surface area of the bulb and use the…

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Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3