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Maciej Morrow

Answered 2021-09-26
Author has **14126** answers

asked 2021-06-03

Find an equation of the plane.

The plane through the points (2,1,2), (3,-8,6), and (-2,-3,1)

The plane through the points (2,1,2), (3,-8,6), and (-2,-3,1)

asked 2021-06-04

Find an equation of the plane.

The plane through the points (4, 1, 4), (5, -8, 6), and (-4, -5, 1)

The plane through the points (4, 1, 4), (5, -8, 6), and (-4, -5, 1)

asked 2021-09-15

Given the points (2,6) and (6,10), find at least three equations from exponential function that pass through these point

asked 2021-09-04

Given the points (2,6) and (6,10), find at least three equations from linear function that pass through these points

asked 2021-09-07

The plane \(\displaystyle{x}+{y}+{2}{z}={18}\) intersects the paraboloid \(\displaystyle{z}={x}^{{2}}+{y}^{{2}}\) in an ellipse. Find the points
on this ellipse that are nearest to and farthest from the origin.

asked 2021-09-12

Surface s is a part of the paraboloid \(\displaystyle{z}={4}-{x}^{{2}}-{y}^{{2}}\) that lies above the plane \(z=0\).\((6+7+7=20pt)\)

a) Find the parametric equation \(\displaystyle\vec{{r}}{\left({u},{v}\right)}\) of the surface with polar coordinates \(\displaystyle{x}={u}{\cos{{\left({v}\right)}}},{y}={u}{\sin{{\left({v}\right)}}}\) and find the domain D for u and v.

b) Find \(\displaystyle\vec{{r}}_{{u}},\vec{{r}}_{{v}},\) and \(\displaystyle\vec{{r}}_{{u}}\cdot\vec{{r}}_{{v}}\).

c) Find the area of the surface

asked 2021-06-04

Find an equation of the plane tangent to the following surface at the given point.

\(7xy+yz+4xz-48=0;\ (2,2,2)\)

\(7xy+yz+4xz-48=0;\ (2,2,2)\)