Determine the area under the parametric curve given by x = 2(0 sin 0), y = 2(1 - cos 0), 0≤ 0 ≤ 2π.
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- Find the length of the curve x=1+2 sin zt, y=3- 2 cos at, 0st<1Plot the cissoidr 2 sin 0 tan 0 and show that its equation in rectangular coordinates is x3 y2 2 - xConsider the parametric curve x = sint + cos t, = cos² t 0Consider the following parametric equation x=1-sin^2(t) y=cos(t) pi<t<2pi 1. Elimate the parameter to obtain an equation in x and y 2. desribe the curve and indicate the postive directionFind the area of y = sin x, y = sin3 xFind the length of the parametric curve x = sin-1t,y = In V1– t² for 0Determine the x- y coordinates of the points where the parametric equation x = 5 sin²t y = 2 cost 0≤t≤ 2π will have vertical tangent.The equation of the tangent line to the parametric equations, x = sine, y =20+ cose at 0 =0 is y = X +The unit circle x^2 + y^2=1 can be written in parametric form as x=cos(θ) and y=sinθ. Find dy/dx and hence find the stationary points.Find the length of the parametric curve. X=t+ sint - TstConsider the parametric equations for a curve in the xy-plane given by: x = t^3 - 3t y = t^2 - 2 Find the equation of the tangent line to the curve at the point where t = 2.Find the second derivative of y with respect to x from the parametric equations given. Pls show the detailed solution. Thank youSEE MORE QUESTIONSRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,