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asked 2021-09-05

asked 2021-09-06

Find a parametric vector equation for the given plane:

asked 2021-06-09

Change from rectangular to cylindrical coordinates. (Let \(r\geq0\) and \(0\leq\theta\leq2\pi\).)

a) \((-2, 2, 2)\)

b) \((-9,9\sqrt{3,6})\)

c) Use cylindrical coordinates.

Evaluate

\(\int\int\int_{E}xdV\)

where E is enclosed by the planes \(z=0\) and

\(z=x+y+10\)

and by the cylinders

\(x^{2}+y^{2}=16\) and \(x^{2}+y^{2}=36\)

d) Use cylindrical coordinates.

Find the volume of the solid that is enclosed by the cone

\(z=\sqrt{x^{2}+y^{2}}\)

and the sphere

\(x^{2}+y^{2}+z^{2}=8\).

a) \((-2, 2, 2)\)

b) \((-9,9\sqrt{3,6})\)

c) Use cylindrical coordinates.

Evaluate

\(\int\int\int_{E}xdV\)

where E is enclosed by the planes \(z=0\) and

\(z=x+y+10\)

and by the cylinders

\(x^{2}+y^{2}=16\) and \(x^{2}+y^{2}=36\)

d) Use cylindrical coordinates.

Find the volume of the solid that is enclosed by the cone

\(z=\sqrt{x^{2}+y^{2}}\)

and the sphere

\(x^{2}+y^{2}+z^{2}=8\).

asked 2021-08-20

Parametric equations and a value for the parameter t are given \(\displaystyle{x}={t}^{{2}}+{3},{y}={6}-{t}^{{3}}\).t=2

Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.

Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.

asked 2021-08-30

asked 2021-08-22

Parametric equations and a value for the parameter t are given \(\displaystyle{x}={\left({80}{\cos{{45}}}^{{o}}\right)}{t},{y}={6}+{\left({80}{\sin{{45}}}^{{o}}\right)}{t}-{16}{t}^{{2}}\). t = 2.

Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.

Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.

asked 2021-05-13

Find the area of the parallelogram with vertices A(-3,0) , B(-1,6) , C(8,5) and D(6,-1)