Question

Notify Me Bookmark

Find a parameterization for the circle (x−14)2 + y2 = 49 starting at the point (7, 0) and moving clockwise once around the circle. Find parametric equations for the circle. x = , y = , 0 ≤ θ ≤ 2π

Find a parameterization for the circle (x−14)2 + y2 = 49 starting at the point (7, 0) and moving clockwise once around the circle. Find parametric equations for the circle. x = , y = , 0 ≤ θ ≤ 2π

Image text
Find a parameterization for the circle ( x − 14 ) 2 + y 2 = 49 starting at the point ( 7 , 0 ) and moving clockwise once around the circle. Find parametric equations for the circle.
x =
◻ , y = ◻ , 0 ≤ θ ≤ 2 π

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Find parametric equations for the surface obtained by rotating the curve x = 2 y, y ≥ 2, about the y-axis. x = 2 ysin⁡(θ), y = y, z = 2 ycos⁡(θ), y ≥ 2, 0 ≤ θ ≤ 2π x = 2 y, y = cos⁡(θ), z = 2 ysin⁡(θ), y ≥ 2, 0 ≤ θ ≤ 2π x = 2 ycos⁡(θ), y = y, z = 2 sin⁡(θ), y ≥ 2, 0 ≤ θ ≤ 2π x = 2 ycos⁡(θ), y = y, z = 2 ysin⁡(θ), y ≥ 2, 0 ≤ θ ≤ 2π x = 2 ycos⁡(θ), y = 2, z = 2 ysin⁡(θ), y ≥ 2, 0 ≤ θ ≤ 2π

Solution
0 0

Find parametric equations and a parameter interval for the motion of a particle starting at the point (5, 0) and tracing the top half of the circle x2+y2 = 25 ten times. Find parametric equations for the particle's motion. Let the parameter interval for the motion of the particle be 0 ≤ t ≤ 10π. x = y = (Type expressions using t as the variable. )

Solution
0 0

The curve with parametric equations x = t, y = 1−cos⁡t, 0 ≤ t ≤ 2π is called a sinusoid and is shown in the accompanying figure. Find the point (x, y) where the slope of the tangent line is (a) largest and (b) smallest. (a) Begin by finding dydx. dydx = Thus the slope of the tangent line can be found by the function s i nt. Determine where s i nt is largest on the interval 0 ≤ t ≤ 2π. The slope of the tangent line, s i nt, is largest at t = (Type an exact answer, using π as needed. ) Determine the point (x, y) where the slope is the largest. The point where the slope is largest is (Type an ordered pair. Type an exact answer, using π as needed. ) (b) Recall that dydx = s i nt. Determine where s i nt is smallest on the interval 0 ≤ t ≤ 2π. The slope of the tangent line, s i nt, is smallest at t = (Type an exact answer, using π as needed. ) Determine the point (x, y) where the slope is smallest. The point where the slope is the smallest is (Type an ordered pair. Type an exact answer, using π as needed. )

Solution
0 0