Question

asked 2021-08-09

Where does the helix

\(\displaystyle{r}{\left({t}\right)}={<}{\cos{{\left(\pi{t}\right)}}},{\sin{{\left(\pi{t}\right)}}},{t}{>}\)

intersect the paraboloid

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

(x, y, z) =

What is the angle of intersection between the helix and the paraboloid?

\(\displaystyle{r}{\left({t}\right)}={<}{\cos{{\left(\pi{t}\right)}}},{\sin{{\left(\pi{t}\right)}}},{t}{>}\)

intersect the paraboloid

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

(x, y, z) =

What is the angle of intersection between the helix and the paraboloid?

asked 2021-05-30

At what point do the curves \(r_1(t)=t,4-t,35+t^2\) and \(r_2(s)=7-s,s-3,s^2\) intersect? (x,y,z)= Find angle of intersection, \(\theta\), correct to the nearest degree.

asked 2021-10-01

\(\displaystyle\frac{{\sin{{x}}}}{{3}}=\frac{{\sin{{y}}}}{{4}}\)

asked 2021-08-12

Two circles, whose radi are 12 inches and 16 inches respectively. intersect. The angle between the tangents at either of the points of intersection is