SSF F-ds, where F = (x + y, y, zx²); S is the part of the cylinder x² + y² = 4,0 ≤z<3 (not including the top and bottom); and N is oriented outward. Evaluate

Q: Find the angle between the surfaces x² + y² + z² = 41 and z = x² + y²-11 at the point (4, 0, 5):

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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: Convert to standard from and give the center and radius: x^2+ Y^2 - 2x +6y - 1=0

A: x-h2 +y-k2 =r2 (h , k) is centre and r is radius .

Q: Find all of the real and imaginary zeros for the polynomial function. y=11x³-67x²+281x-25

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Q: the center and radius for each. z' + y? = 49 +y? = 324 2² + (y + 2)° = 64 (x+ 2) + y? 64 (z – 5) +…

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Q: Explained every step

A: The given equation of the surface is  x2 + 2y2 + z2 − 4x + 4y − 2z + 3 = 0.   The general equation…

Q: Sketch and identify the surface given by x2 + 4y + 4z2 = 0.

A: Equation of the surface is given by:x2+4y+4z2=0 we need to identity the surface and hence sketch the…

Q: Describe and draw at least 3 level surfaces for the function f(r, y, z) = x²+ y? - z?

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Q: Converting coordinates Express the following polar coordinates in Cartesian coordinates.

A: From the given data:

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

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Q: Evaluate z* + x dS where S is the cylinder x2 + y? = 36 between the planes z = -3 and z = 1,…

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Q: Use calculus to show that the maximum possible area of a triangle with one vertex at (0, 0) and the…

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Q: Find the surface area of the part of the sphere x² + y² + z² = 4 that lies above the cone z = √√x² +…

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