hello again..i have another question...

it says sketch the curve
<3cost,t,2sint>
i know the parametric equations are
x=3cost y=t z=2sint

but what do i do to sketch them..plz help me

1 answer

(x/3)^2 + (z/2)^2 = 1
In the x,z plane, the object always lies along an elliptical cylinder with semimajor axis = 3 and semiminor axis = 2. It advances along the y axis while following a helical path along the elliptical cylinder

3z/2x = tan t

Use the pair of equations to solve for x and y as functions of t. When t = 0, you start out at z = 0, x = 3