Question

write the parametric representation of
\(\large \rm z=4x^2+y^2\)

Answer 1

is it
z=4t
x=2sin t
y=4cos t
?

Answer 2

Well, let's see... Take t = 0

z=4t = 4(0) = 0
x=2sin t = 2(0) = 0
y=4cos t = 4(1) = 4

0 = 4(0^2) + 4^2 = 0+16 = 16 <== Well, THAT doesn't seem right!

Answer 3

oh God :(
so whats the right presentation ?

Answer 4

@rational

Answer 5

x = 1/2cost
y = sint

wont this work ?

Answer 6

and z= ?

Answer 7

x=2sin t
y=4cos t

also is fine right ? im not sure what you are parameterizing it for...

z = 1 i guess

Answer 8

ermm

Answer 9

since its a surface we need two variables may be... idk im at temporary memory loss :s

Answer 10

Alright, it looks bit complicated
http://tutorial.math.lamar.edu/Classes/CalcIII/ParametricSurfaces.aspx