4. a) Find the surface area of the part of the sphere x² + y² + z² = 4 that lies above the plane z = 1.

Q: 5. Find a parametric representation for the part of the sphere x + y + z2 = 4 that lies between the…

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Q: 2. Calculate fxyzdz, where L is the circumference of the sphere x² + y² + z² = 1 truncated by the…

A: As per the question, we are asked to calculate the line integral of the function xyz along a…

Q: Write the sphere equationil odi lo anoitaupo ontemeeg bas Totoov bnif (d) x2 + y? + z2 + 2x - 4y –…

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Q: 3. Determine the center and radius of the following sphere: x² + y² + z² - 2x - 4y + 8z - 15 = 0

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Q: 6) Find the area of the part of the sphere X² + y² + Z² = 4 that that lies above the plane Z = 1

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Q: The plane ४/७ Incorrect y + + 6 4 SAPOR = 12 NIS = 1 intersects the x-, y-, and z-axes in points P,…

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Q: 1. Find a parametric representation for the surface a) The plane through the origin that contains…

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Q: 4. a) Find the point on the unit sphere x² + y² + z² = 1 that is closest to (1,2,3). b) Find the…

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Q: Identify and sketch the surfaces: Note: Alway bring equations to the standard form first, then use…

A: To identify and Sketch: The following curves: (a)  x2+y2-2z2+10x-4y-2z=0. (b) -x2-4y+z2=4 (c) z2=3y

Q: 2. Find the center and radius of the sphere *+y ++4x-2y+8-4 0

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Q: 1. Find a parametric representation for the surface: the part of the sphere x2 + y? + z2 = 4 that…

A: According to the given information, It is required to calculate the parametric representation for…

Q: Please help.

A: Note: The tangent plane to the surface given by f(x, y, z) = 0 at (x0, y0, z0) has the equation,…