Question

asked 2021-01-31

Trace the curve of \(\displaystyle{x}^{{3}}-{6}{x}^{{2}}+{11}{x}-{y}={6}\)

asked 2021-03-11

Trace the curve \(\displaystyle{y}=\frac{{x}}{{{x}-{1}}}{\left({x}+{3}\right)}\)

asked 2021-02-25

Let v = zk be the velocity field of a fluid in \(\displaystyle{R}^{{3}}\). Calculate the flow rate through the upper hemisphere (z > 0) of the sphere \(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}={1}.\)

asked 2021-03-06

Find an equation of the plane passing through the three points given. P = (2, 0, 0), Q = (0, 4, 0), R = (0, 0, 2)

asked 2020-11-03

Given:

\(\displaystyle\theta={240}^{\circ}\)

Find the value of \(\displaystyle\theta\) in radians (in terms of \(\displaystyle\pi\))

\(\displaystyle\theta={240}^{\circ}\)

Find the value of \(\displaystyle\theta\) in radians (in terms of \(\displaystyle\pi\))

asked 2020-12-28

Find the radius, if

s=38,000cm

\(\displaystyle\theta={45.3}^{\circ}\)

Use the arc length formula.

s=38,000cm

\(\displaystyle\theta={45.3}^{\circ}\)

Use the arc length formula.

asked 2020-11-08

Find the six function values of \(\displaystyle{8}^{\circ}\) in terms of p, q and r, if

\(\displaystyle{{\sin{{82}}}^{\circ}=}{p}\)

\(\displaystyle{{\cos{{82}}}^{\circ}=}{q}\)

\(\displaystyle{{\tan{{82}}}^{\circ}=}{r}\)

\(\displaystyle{{\sin{{82}}}^{\circ}=}{p}\)

\(\displaystyle{{\cos{{82}}}^{\circ}=}{q}\)

\(\displaystyle{{\tan{{82}}}^{\circ}=}{r}\)

asked 2021-01-22

What id the circumference of the circle? use \(\displaystyle\frac{{22}}{{7}}\) for \(\displaystyle\pi,{r}={21}\) cm

asked 2020-11-09

A. Let (X,d) be a metric space. Define a diametr of a ubset A of X and then the diametr of an open ball with center \(\displaystyle{x}_{{0}}\) and rarios r>0.

B. Use (A) to show that every covergence sequnce in (X,d) is bounded.

B. Use (A) to show that every covergence sequnce in (X,d) is bounded.

asked 2021-01-04

\(\sec \theta = -3, \tan \theta > 0\). Find the exact value of the remaining trigonometric functions of

\(\theta\).