Given information:

Aamina Herring

Answered 2021-08-23
Author has **15244** answers

asked 2021-06-08

\(4x + 3y + z = 12\)

that lies in the first octant.

2) Use polar coordinates to find the volume of the given solid.

Bounded by the paraboloid \(z = 5 + 2x^2 + 2y^2\) and the plane z = 11 in the first octant

asked 2021-08-11

asked 2021-08-20

Graph the sets of points whose polar coordinates satisfy the equations
and inequalities r = 2

asked 2021-08-18

Change from rectangular to cylindrical coordinates. (Let \(\displaystyle{r}\geq{0}\) and \(\displaystyle{0}\leq\theta\leq{2}\pi\).)

a) \(\displaystyle{\left(-{2},{2},{2}\right)}\)

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

c) Use cylindrical coordinates.

Evaluate

\(\displaystyle\int\int\int_{{{E}}}{x}{d}{V}\)

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

\(\displaystyle{z}={x}+{y}+{10}\)

and by the cylinders

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

d) Use cylindrical coordinates.

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

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

and the sphere

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

a) \(\displaystyle{\left(-{2},{2},{2}\right)}\)

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

c) Use cylindrical coordinates.

Evaluate

\(\displaystyle\int\int\int_{{{E}}}{x}{d}{V}\)

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

\(\displaystyle{z}={x}+{y}+{10}\)

and by the cylinders

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

d) Use cylindrical coordinates.

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

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

and the sphere

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

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 2021-08-19

Graph the sets pf points whose polar coordinates satisfy the equations and inequalities \(\displaystyle\theta=\frac{\pi}{{2}},{r}\ge{0}\)

asked 2021-08-21

Graph the sets of points whose polar coordinates satisfy the equations
and inequalities \(\displaystyle{1}\le{r}\le{2}\)