The ellipse \frac{x^2}{3^2} + \frac{y^2}{4^2} = 1
can be drawn with parametric equations. Assume the curve is traced clockwise as the parameter increases.
If x=3cos(t)
then y = ___________________________
wouldnt i just sub x into the ellipse equation and solve for y?
well i did...
Describe the motion of the particle with position (x,y) as t varies over the given interval.
x=2+cost y=3+sint
where t is greater than or equal to 0 and less than or equal to 2 pi
i've tried to eliminate t and came up with
y=3+sin(arccos(x-2))
i don't know if...
Our lecture today covered Equations of Lines and Planes in 3D.
Is this the only approach to learning line and plane equations in 3-d?
Honestly do we need r = ro + t*v?
To me this seems like a very hard way to learn equations of lines and planes.
Maybe I should learn it to be a...
??Parametric equations??
hey what's up,
ok i have a question on differentiating parametric equations. The question says to find the equation of the two tangent lines to the curve. here's the equations...
x = 6 cos t
y= 2sin2t
Now, after i differentiate them, do i just plug in...
Original question:
a) Say r'(t) = 3t^2 i - cost j + 2t k, and r(0) = i + k. Find r(t).
b) Find T(t).
c) Find parametric equations for the tangent line to the curve at t=1.
I have done parts a and b and got the following results:
a) r(t) = t^3 + 1 i - sint j + t^2 + 1 k
b)T(t) =...
How does one find the equation of a line from parametric equations?
In spefiic I'm looking at this: x(t) = 1+2t , y(t) = -1 + 3t , z(t) = 4+t... I think i got to use something liek x-1/a = y-1/b=z-1/c or something like that. If what i just said is true, then I'm lost on what to do next...
I am asked to find the equation of the tanget line to the curve at the givien points. (y -y1 = m(x1-x))
The point is:
(-2/sqrt(3), 3/2)
Parametric Equations are:
where t = theta
x = 2*cot(t)
y = 2*sin^2(t)
How would i find what theta is in this set, inorder to solve dy/dx...
i have a geometry/algebra test tommorow and i have been sick for the whole unit, and my darn teacher is making me do it tommrow, even though i have no idea wuts going on...its on lines with parametric equations...if anyone has anything (tutorials, sites,etc.) anything that will help me...