a) The parametric equations for a hyperbola are x = 2 sec0, y= 4 tan 0.Applying the parametric differentiation to solve:(i)dydxy(ii)dxProvide answer correct to 4 significant figures and 0=1radian.b) Applying logarithmic differentiation and to solvedy if y = x²(x' -1)° .dx

Let us consider the parametric equation x=g(t), y=f(t) then dydx=dydtdxdtd2ydx2=ddtdydxdxdt

Answered: a) The parametric equations for a…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

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a) The parametric equations for a hyperbola are x = 2sec0, y=4tan 0. Applying the parametric differentiation to solve: %3D (i) dy dx (ii) Provide answer correct to 4 significant figures and 0=1 radian. dy b) Applying logarithmic differentiation and to solve if y = x(x' –1)°.".