12 Answered Questions for the topic Parametric Curves

Parametric Curves Calculus


Calculus question

I missed my class today, so I'm not sure on how to do these 2 questions that are on the homework.Find the equation of the tangent to the curve at x = 3 for the parametric equations below:  , with t... more
Parametric Curves Calculus


calculus parametric curves *need help asap please!

 Find  for the curve given by x = 2 cosΘ and y = sin θ. (4 points)answer choices -2sec2θ
Parametric Curves Calculus


parametric curves *calculus need help asap pls!*

What is the slope of the tangent to the curve with parametric equations x = t5 - 4t3, y = t2, at t = 2? (4 points)answer choices: -2 0
Parametric Curves Calculus


calculus parametric curves *need help asap please, thank you!*

Which of the following is the Cartesian equation for the parametric equation x = 2tan(t), y = 5sec(t)? (4 points)answer choices: y = x2 - 9, for x in [-3,3]
Parametric Curves


curve in a plane

Consider the curve given parametrically by x = acost,y = β sint,z = csint, where a,b,c are positive real numbers. Show that it lies in a plane. Find the equation of the plane.   Thank you


Vector Functions and Space Curves PLEASE HELP!

At what points does the curve r(t) = ti + (4t − t^2)k intersect the paraboloid z = x^2 + y^2? (If an answer does not exist, enter DNE.)   smaller t-value (x, y, z) = larger t-value (x, y, z)... more
Parametric Curves Math Calculus Calculus 3


Parametric Curves WEBASSIGN

(a) Show that the parametric equationsx = x1 + (x2 − x1)t, y = y1 + (y2 − y1)twhere 0 ≤ t ≤ 1, describe the line segment that joins the points P1(x1, y1) and P2(x2, y2).   (b) Find parametric... more
Parametric Curves Calculus Calculus 3


Parametric Curves

a. Describe the motion of a particle with position (x, y) as t varies in the given interval.x = 4 + 3 cos t, y = 4 + 3 sin t, pi/2 ≤ t ≤ 3pi/2   b. Describe the motion of a particle with position... more
Parametric Curves Integrals Area Integration


How to find the area under multiple curves

I have a problem here that involves three equations. It wants to know the total area that is bounded by these three equations. they are as follows: y=x y=7 y=x2/28 The domain is [0,14] I know... more
Parametric Curves


find a cartesian equation for the parametrics x=(5T)/(1+t^3) and y=(9t^2)/(1+t^3)

I need to find a cartesian equation for the above parametrics in the form P(x,y) = 0 and then have the coefficient of the x^3 be 729.
Parametric Curves Arc Length


arc length and parametric curves

I'm totally lost here: x= tcost y= tsint -1<or= t <or=1 find the arc length...   I understand the point is to find an anti-derivative using the sqrt of each term's derivative squared and... more
Parametric Curves


area enclosed by a parametric curve

Since integrating for area under a parametric curve requires a known direction, is there a way to determine the direction (clockwise/counterclockwise) of a parametric curve without plugging in... more

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