To figure out what the surface is rewrite r as\( r^2=x^2+y^2=25\). Since z can be anything, the given a cylinder of radius 5

asked 2021-05-03

Describe in words the surface whose equation is given. (assume that r is not negative.) \(\theta=\frac{\pi}{4}\)

a) The plane \(y = −z\) where y is not negative

b) The plane \(y = z\) where y and z are not negative

c) The plane \(y = x\) where x and y are not negative

d) The plane \(y = −x\) where y is not negative

e) The plane \(x = z\) where x and y are not negative

a) The plane \(y = −z\) where y is not negative

b) The plane \(y = z\) where y and z are not negative

c) The plane \(y = x\) where x and y are not negative

d) The plane \(y = −x\) where y is not negative

e) The plane \(x = z\) where x and y are not negative

asked 2021-11-19

Describe in words the surface whose equation is given. (assume that r is not negative.) \(\displaystyle\theta={\frac{{\pi}}{{{4}}}}\)

a) The plane \(\displaystyle{y}=−{z}\) where y is not negative

b) The plane \(\displaystyle{y}={z}\) where y and z are not negative

c) The plane \(\displaystyle{y}={x}\) where x and y are not negative

d) The plane \(\displaystyle{y}=−{x}\) where y is not negative

e) The plane \(\displaystyle{x}={z}\) where x and y are not negative

a) The plane \(\displaystyle{y}=−{z}\) where y is not negative

b) The plane \(\displaystyle{y}={z}\) where y and z are not negative

c) The plane \(\displaystyle{y}={x}\) where x and y are not negative

d) The plane \(\displaystyle{y}=−{x}\) where y is not negative

e) The plane \(\displaystyle{x}={z}\) where x and y are not negative

asked 2021-09-19

Describe in words the surface whose equation is given.\(\displaystyle\phi=\frac{\pi}{{3}}\)

asked 2021-09-16

Describe in words the surface whose equation is given. \(\displaystyle{0}=\frac{\pi}{{4}}\)

asked 2021-06-07

Describe in words the surface whose equation is given. \(\phi = \frac{\pi}{4}\) (select the correct answer)

1)the top half of the right circular cone with vertex at the origin and axis the positive z-axis

2)the plane perpendicular to the xz-plane passing through z = x, where \(x \geq 0\)

3)the plane perpendicular to the xy-plane passing through y = x, where \(x \geq 0\)

4)the base of the right circular cone with vertex at the origin and axis the positive z-axis

5)the plane perpendicular to the yz-plane passing through z = y, where \(y \geq 0\)

1)the top half of the right circular cone with vertex at the origin and axis the positive z-axis

2)the plane perpendicular to the xz-plane passing through z = x, where \(x \geq 0\)

3)the plane perpendicular to the xy-plane passing through y = x, where \(x \geq 0\)

4)the base of the right circular cone with vertex at the origin and axis the positive z-axis

5)the plane perpendicular to the yz-plane passing through z = y, where \(y \geq 0\)

asked 2021-08-09

In the following problems, obtain the differential equations of the given families of curve whose properties are indicated