Question

1. Sketch the parametric curve [being careful with the domain restriction]. Also, eliminate the parameter to...

1. Sketch the parametric curve [being careful with the domain restriction]. Also, eliminate the parameter to find a single equation for the points of the curve.

a. (x= sint, y= csct) 0 < t < ?/2

b. (x= et , y= e-2t ) t ∈ R

c. (x= 3cos2t, y= 2sin2t) ?/2 < t < ?

d. (x= t0.5 , y= 1-t) t > 0

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Eliminate the parameter to find the cartesian equation. Then sketch the curve using t= 0, 90,180...
Eliminate the parameter to find the cartesian equation. Then sketch the curve using t= 0, 90,180 degrees Given; x= 2cost -2 and y= sint + 1
Eliminate the parameter, and sketch the graph of the parametric equations x = t − 1,...
Eliminate the parameter, and sketch the graph of the parametric equations x = t − 1, y = t 2 − 3t
Eliminate the parameter to find a Cartesian equation of the curve. Then sketch the curve and...
Eliminate the parameter to find a Cartesian equation of the curve. Then sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. x = −3 + 2 cos(πt) y = 1 + 2 sin(πt) 1 ≤ t ≤ 2
Eliminate the parameter to find a Cartesian equation of the curve (do so without solving for...
Eliminate the parameter to find a Cartesian equation of the curve (do so without solving for the parameter). Then sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. x =1 / √(t2 +1) y = t / √(t2 +1) 0 ≤ t ≤ 1
1) A particle is moving on a curve that has the parametric equations x=-4cost, y=5sint, 0≤?≤2?....
1) A particle is moving on a curve that has the parametric equations x=-4cost, y=5sint, 0≤?≤2?. a) Find dy/dx when t= pi/4. b) Eliminate the parameter t to find a cartesian (x, y) equation of the curve and recognize it. c) Graph the Cartesian equation and indicate the direction of the motion.
Eliminate the parameter to find the Cartesian equation and indicate in which direction the curve is...
Eliminate the parameter to find the Cartesian equation and indicate in which direction the curve is being traversed. x = 2cost, y = 3sent with 0 <t <= 2π * (x ^ 2) / 4 + (y ^ 2) / 9 = 1 counterclockwise (x ^ 2) / 9 + (y ^ 2) / 4 = 1 counterclockwise (x ^ 2) / 9 + (y ^ 2) / 4 = 1 clockwise Other answer (x ^ 2) / 4 +...
3. The parametric curve ~r1(t) = 4t~i + (2t − 2)~j + (6t 2 − 7)~k...
3. The parametric curve ~r1(t) = 4t~i + (2t − 2)~j + (6t 2 − 7)~k is given. (a) Find a parametric equation of the tangent line at the point (4, 0, −1) (b) Find points on the curve at which the tangent lines are perpendicular to the line x = z, y = 0 (c) Show that the curve is at the intersection between a plane and a cylinder
Find the derivative of the parametric curve x=2t-3t2, y=cos(3t) for 0 ≤ ? ≤ 2?. Find...
Find the derivative of the parametric curve x=2t-3t2, y=cos(3t) for 0 ≤ ? ≤ 2?. Find the values for t where the tangent lines are horizontal on the parametric curve. For the horizontal tangent lines, you do not need to find the (x,y) pairs for these values of t. Find the values for t where the tangent lines are vertical on the parametric curve. For these values of t find the coordinates of the points on the parametric curve.
1. Graph the curve given in parametric form by x = e t sin(t) and y...
1. Graph the curve given in parametric form by x = e t sin(t) and y = e t cos(t) on the interval 0 ≤ t ≤ π2. 2. Find the length of the curve in the previous problem. 3. In the polar curve defined by r = 1 − sin(θ) find the points where the tangent line is vertical.
7. For the parametric curve x(t) = 2 − 5 cos(t), y(t) = 1 + 3...
7. For the parametric curve x(t) = 2 − 5 cos(t), y(t) = 1 + 3 sin(t), t ∈ [0, 2π) Part a: (2 points) Give an equation relating x and y that represents the curve. Part b: (4 points) Find the slope of the tangent line to the curve when t = π 6 . Part c: (4 points) State the points (x, y) where the tangent line is horizontal
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT