Question

Find parametric equations for the circle

x2 + y2 = a2,

using as parameter the arc length s measured counterclockwise from the point (a, 0) to the point (x, y).

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN: 9781337278461
Author: Ron Larson
Publisher: Cengage Learning
Not helpful? See similar books
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Topics In Analytic Geometry. 5ECP
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Use the arc-length formula of the parametric equation and evaluate the arc-length of the curve while…

A: Click to see the answer

Q: Find an arc length parametrization of the line y = 2x – 6 %3D |

A: Click to see the answer

Q: Which type of surface does the curvex= cos(3t),y= sin(3t),z=t, lie on?

A: Click to see the answer

Q: Use the parametric equations of an ellipse x = acos(theta), y = bsin(theta) on the interval[0,2pi]…

A: Click to see the answer

Q: Find the arc length of y3 + y = x2 + 6x on the interval [ -5, -1 ]. Also, determine the surface of…

A: Click to see the answer

Q: Find the exact value of the number a so that the length of the curve defined parametrically by

A: We have been given the parametric curves and have to find the value of a constant a.

Q: Evaluate integral and use parameter t to show parametric equations for circle ∫c x6y d s where C…

A: Click to see the answer

Q: Find the arc length form (2,1) to (4,4) of the curve x = 2/y.

A: Click to see the answer

Q: Compute the length of arc defined by the parametric equations x= sint –t cost, y=cost +tsint, 0St<2}

A: Given parametric equations  Now we have to find length of the arc as shown below

Q: Compute the length of the circle of radius r defined parametrically by = 3 cost, y = 3 sint ; 0 s t…

A: Click to see the answer

Q: ..... The area of the surface generated by revolving the curve x = 1 cos (2t), y = 7+ -sin (2t) on…

A: Follow 2nd and 3rd step.

Q: (ii) Express the unit circle centred at position (1,2), using parametric, implicit and explicit…

A: Follow next step

Q: B. Find the length of the circle of radius r defined parametrically by x = r(v1 – sin t) and y =…

A: We need to find the length of the circle which is parametrically defined as below.

Q: Evaluate fc 2x ds, where consists of the arc of the parabola y= x2 from to followed by the vertical…

A: The given line integral is ∫C2xdS where C is the arc of the parabola y=x2 from (0,0) to (1,1) and…

Q: A beam whose centre of gravity divides it into two portions, a and b, is placed inside a smooth…

A: Click to see the answer

Q: Plot the cissoidr 2 sin 0 tan 0 and show that its equation in rectangular coordinates is x3 y2 2 - x

A: Click to see the answer

Q: Find the distance from the point (3, 2, 5)to the line with parametric equations x=t,y =l +t ,z = 2 +…

A: The equation of the line in matrix form:                                                xyz = 012 +…

Q: Integrate counterclockwise dz, C the circle with z2 + 12z + 35 center –5 and radius 2. dz z2 + 12z +…

A: Click to see the answer

Q: Find a parametric description for the circle x2+y2-6y=0, oriented clockwise and where t begins at 0.…

A: Click to see the answer

Q: The arc of the parabola y = x? from (1, 1) to (2, 4) is rotated about the y-axis. Draw the surface…

A: Given: Equation of parabola : y= x2  Arc of parabola passes through (1,1) and (2,4).

Q: Find the arc length of the curve C from the origin to the point (1/2, 1/6, 1) , where C' is the…

A: Given equations are z2=2x and 3y=xz. Now multiplying z2=2x with z:  z3=2xzz3=6y

Q: 10. Find the arclength of the curve given by parametric equations x = r?, y = 2/2r, z = In(x²), 1<t<…

A: Click to see the answer

Q: Integrate counterclockwise dz, C the circle with z2 + 16z + 63 center –7 and radius 2. dz z² + 16z +…

A: Use Cauchy Residue theorem to evaluate this integral.

Q: A torus of radius 2 (and cross-sectional radius 1) can be represented parametrically by the function…

A: The surface area (A) of torus is given by the formula mentioned below with given values as.

Q: 6- Find the avea of the Surface of revolution genetaled by revalving the x-axis the arc abaut from…

A: To find - Find the area of the surface of revolution generated by revolving about the x-axis the arc…

Q: Find the arc length of the parametric curve r = cos(27t), y sin(2rt) over the %3D interval 0 < t < .…

A: We use chain rule to find dx/dt and dy/dt

Q: find parametric equations for the given curve. Circle of radius 4 with center (3, 9)

A: Click to see the answer

Q: find parametric equations for the given curve.  Circle of radius 4 with center (3, 9)

A: We have to find parametric equation for the given circle having radius 4 with center 3, 9. We know…

Q: Find the length of arc from (0,0) to (4,4) of the curve x = 2/y.

A: given curve     x=2y            we have to   find the arch length fro (0,0)  to  (4,4)now  x=2y ⇒…

Q: Integrate counterclockwise dz, C' the circle with z² + 8z + 15 center -3 and radius 2. dz = La z2 +…

A: Click to see the answer

Q: Determine the surface of revolution if the arc y^3 + y = x^2 + 6x on the interval [−5, −1] is…

A: The curve will appear like this

Q: Show that the arclength of the graph of y=sinx on the interval [0, 2n] is equal to the circumference…

A: Click to see the answer

Q: Consider the parametric curve C defined by x = x (t) and %3D y = y (t). (a) How do you find the…

A: Click to see the answer

Q: Find the arc length of the curve y = 2/3x 3/2 from (1, 2/3) to (2, 4/ 3).

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the equation of the tangent plane to the following surface at the given point. 4y cos (3ar 2)…

A: Given equation of surface and point is

Q: Find the length of one arc of the curve whose parametric equation are x=2θ-2sinθ and y=2-2cosθ.

A: We have to find length of arc whose parametric equations are : x=2θ-2sinθ and y=2-2cosθ Suppose 0 ≤…

Q: (2) Find the area of the ellipse which is parametrically expressed as x = a cos o and y=b sin ø, and…

A: The general equation of an ellipse with length of semi major axis of a units and semi minor axis of…

Q: Calculate 8-z dz, z(4 – ) where C is the circle of radius 7, centre 0, negatively oriented.

A: Given : C is circle of radius 7 , centre is at  0 and negatively oriented. To find :  ∫C8-zz(4-z)dz

Q: Consider a unit sphere centred at the origin. Find an arc length parametrised geodesic connecting…

A: The objective is to compute the arc length parametrised geodesic connecting the points 0,0,1 and…

Q: Find a parametrization for the curve y = Vx with terminal point (0, 0) using the angle 0 in the…

A: Click to see the answer

Q: Find the area of the surface obtained by rotating the curve of the parametric equations, x =…

A: Click to see the answer

Knowledge Booster
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • Trigonometry (MindTap Course List)
    Trigonometry
    ISBN:9781337278461
    Author:Ron Larson
    Publisher:Cengage Learning
    Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,
    Linear Algebra: A Modern Introduction
    Algebra
    ISBN:9781285463247
    Author:David Poole
    Publisher:Cengage Learning
  • Trigonometry (MindTap Course List)
    Trigonometry
    ISBN:9781305652224
    Author:Charles P. McKeague, Mark D. Turner
    Publisher:Cengage Learning
  • Trigonometry (MindTap Course List)
    Trigonometry
    ISBN:9781337278461
    Author:Ron Larson
    Publisher:Cengage Learning
    Elementary Geometry For College Students, 7e
    Geometry
    ISBN:9781337614085
    Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
    Publisher:Cengage,
    Linear Algebra: A Modern Introduction
    Algebra
    ISBN:9781285463247
    Author:David Poole
    Publisher:Cengage Learning
    Trigonometry (MindTap Course List)
    Trigonometry
    ISBN:9781305652224
    Author:Charles P. McKeague, Mark D. Turner
    Publisher:Cengage Learning