Eliminate the parameter t from the equations: x=r cost ,y=r sint ,t>0, and r is radius

Find the relation obtained by eliminating theta " from the equations " x = r cos theta + s sintheta and y=r sintheta-s cos theta .

Eliminate t from the following equations : x=at^(2),y=2at.

Obtain the relation by eliminating theta from the equation, x=a +r cos theta and y=b+ r sin theta .

A curve is represented paramtrically by the equations x=e^(t)cost and y=e^(t)sint where t is a parameter. Then The value of (d^(2)y)/(dx^(2)) at the point where t=0 is

If x and y are connected parametrically by the equations without eliminating the parameter, Find dy/dx x = a (cost + log tan (t/2)), y = a sint

The equations of motion of a particle P(x,y) on a plane are given by x=4+r. cos t, y=6+r. sin t , where t is time and r is constant . Its velocity at time t is

A planet of radius r_(0) is at a distance r from the sun (r gtgt r_(0)) . The sun has radius R. Temperature of the planet is T_(0) , and that of the surface of the sun is T_(s) . Calculate the temperature of another planet whose radius is 2r_(0) and which is at a distance 2r from the sun. Assume that the sun and the planets are black bodies.

If x and y are connected parametrically by the equations given in, without eliminating the parameter, find dy/dx . x=a(cost+tsint),y=a(sint-tcost)

If x and y are connected parametrically by the equations given,without eliminating the parameter,Find (dy)/(dx)x=4t,y=(4)/(t)