*WILL MEDAL*
A curve C has the parametrization x = a sint cosα , y = bsint sinα , z = c cost, t ≥ 0 where a, b, c, α are all positive constants
a)Show that C lies on the ellipsoid x^2/a^2 +y^2/b^2+z^2/c^2=1
(b) Show that C also lies on a plane that contains the z-axis
(c) Describe the curve C. Give its equation
I understand how to get a , by replacing the values for x,y,and z, but I am having trouble how to explain b and c. can someone please help thank you!

Hey! We 've verified this expert answer for you, click below to unlock the details :)

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

Looking for something else?

Not the answer you are looking for? Search for more explanations.