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Find the equations of the tangent and the normal to the curve `x=3costheta-cos^3theta,\ \ y=3sintheta-s in^3theta`

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x=3costheta-2cos^(3)theta, y = 3 sin theta- 2 sin^(3) theta

Find the equations of the tangent and the normal to the curve x=a(theta+sintheta),\ \ y=a(1-costheta) at theta at indicated points.

Find the equations of the tangent and the normal to the curve x=theta+sintheta , y=1+costheta at theta=pi//2 at indicated points.

Find the slopes of the tangent and the normal to the curve x=a\ cos^3theta,\ \ y=a\ s in^3theta at theta=pi//4

Find the equations of the tangent and the normal to the curve 4x^2+9y^2=36 at (3costheta,\ 2sintheta) at indicated points.

Find the slopes of the tangent and the normal to the curve x=a(theta-sintheta),\ \ y=a(1-costheta) at theta=pi//2

Find the equations of the tangent and normal to the curve x=a sin^(3)theta and y=a cos^(3)theta at theta=(pi)/(4)

Show that the equation of the normal at any point 'theta' on the curvex = 3 cos theta -cos^(3) theta, y=3 sin theta -sin^(3) theta is 4(y cos^(3)theta -x sin^(3) theta)=3 sin 4 theta.

Find the slopes of the tangent and the normal to the curve x=a(theta-sintheta) , y=a(1+costheta) at theta=-pi//2

Find the equation of the tangent and the normal at the point 't,on the curve x=a sin^(3)t,y=b cos^(3)t

A DAS GUPTA-Application of dy/dx-Exercise
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  19. Let f(x) be a differentiable function and f(x) > 0 for all x. Prove th...

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