Find the volume of the indicated region. the region bounded by the paraboloid z=x2+y2   and the cylinder x2+y2=49

Q: Find the surface area of the part of the paraboloid z = 9 – 2.x - 2y that lies above the %3D

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Q: Describe and graph (using a computer) the surfaces a) yz = 4 b) x² - y² = 1 c) 4x² + y² + 4z² − 4y −…

A: a) yz = 4  This represent the hyperbola. And  y = -4 , z = -1  y = -2, z = -2  y = -1, z = -4 y = 2…

Q: A surface is defined by coordinate or parametric functions of more than two variables. Select one:…

A: A surface is defined by coordinate or parametric functions of more than two variables.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: The given curve is- y=3e-x We have to find the volume (V) of the solid obtained by rotating the…

Q: 5. Identify and sketch the surfaces in space, 3-D. Must be in your handwriting. a) x² + y² =a² b)…

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Q: Sletch the region in the plane consisting of points whose polar coordinates Satsfy the given…

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Q: Exercise 3 The quadric surface y? = 4x2 + 16z² is a: A. Elliptical paraboloid along y-axis B.…

A: Explanation of the answer is as follows

Q: Identify the quadric surface with equation -a + 9y? – z = 0. O elliptic paraboloid O hyperbolic…

A: given  -x2+9y2-z=0

Q: Quadric Surfaces: Identify first the type of three-dimensional surface and sketch. a.x = y² - 6z² b.…

A: We have to define the quadratic surface and sketch it.

Q: The plane x=3 cuts the sphere x2 + y2 + z2 =25 What shape does their intersection make? Find a…

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Q: cross-section is given by the following geometric data: a = 75 mm, b= 40 mm, c = 70 mm %3D ind the…

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Q: The quadric surface 2z-x²-4y² = 0 is O Hyperboloid of two sheets. O Elliptic paraboloid. O…

A: We have to solve given problem:

Q: 17. Evaluate the integral: S, 9x? – 6dx. 18.Determine the center of the circle x² +y² = 25. %3D

A: (17)  Given that I=∫-159x2-6 dx It is known that ∫xndx=xn+1n+1 So, I=9x33-6x-15 =3x3-6x-15 Now we…

Q: 9. Find the center and the radius for the sphere: x² + y2 + 2²-6y + 8z = 0.

A: Given, Equation of sphere is x2+y2+z2-6y+8z=0                   (1) Since general equation of sphere…

Q: Identify the surface whose equation isľ = 3 sec (0). O Circle O Hyperbolic Paraboloid O Cone Sphere…

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Q: Sketch and describe the surface created by p=2 csc(ø).

A: Coordinate systems are used to represent a point in three dimensions. The cylindrical-coordinate…

Q: B) Determine the parametrizations of the untrimmed surfaces S1, S2 and S3 without constraints(free)…

A: Given: Surfaces S1: 2x-4y+z=4 S2: 2y=6-x S3: x2=16-4z To find: Parametrization of the surfaces S1,…

Q: the surface area E = 9(x1 4₁2)

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Q: 2 -2 -1 B. -2 The midpoint of AB = ([ ? ]. [ ]) %3D Enter 2.

A: Find the mid point

Q: A. Use polar coordinates to describe the region shown. 1.

A: From the Shaped region, clearly this is semicircle lies in upper half plane of radius 8 and centered…

Q: identify the type ( cylindrical or quadratic) and graph each surface. Give a careful explanation. a)…

A: The given surfaces are: (a) z+y2=4 (b) y2=4x2+9z2 We have to identify the type of surface whether…

Q: Closest point is (If there is more than one point, enter a comma-separated list.)

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Q: Find the centroid of the quarter of the unit circle lying in the third quadrant. ICM усм

A: The equation of the circle is x2+y2=1 The radius of the unit circle is 1 unit.