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Sketch the region bounded by the paraboloids $ z = x^2 + y^2 $ and $ z = 2 - x^2 - y^2 $.

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01:40

Wen Zheng

00:59

Carson Merrill

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 6

Cylinders and Quadric Surfaces

Vectors

Missouri State University

Oregon State University

University of Nottingham

Idaho State University

Lectures

02:56

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

11:08

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

0:00

Sketch the region bounded …

01:56

So here in this question we have to sketch the parable lights Which is z equals two x square. Bless the white square and Is he equals 2? Two minus x squared minus y square. Now I'm going to plot this parable Lloyd 1st on this graph paper. Now it looks like this, it will be an upward para polaroid like this and it will pass from Z equals to zero, this is equal to zero. And here this is one, this is two. The next one, this is two minus X squared minus y squared. Now this would be a downward parabola Lloyd And it will pass from z equals to two like this. No, the region that we need to sketch is this region. This is basically this would be a 3D region. So this is the solution that was asking the question. I hope it was a problem. Thank you.

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