Find the equation of tangent to the curve given by `x = a sin^(3) t , y = b cos^(3)`t at a point where t = `(pi)/(2)` .

Find the equation of tangent to the curve given by x=asin^3t,y=bcos^3t a point where t=pi/2

x = sin t, y = cos 2 t .

Find the equation of the tangent to the curve y=(x-7)/((x-2)-(x-3)) at the point where it cuts the x-axis.

Find the equations of the tangent to the given curves at the indicated points: y=x^(3) at (1,1)

Find the slope of the normal to the curve x = a cos^(3)theta, y = a sin^(3) theta at theta = (pi)/3 .

Find the equations of the tangent and normal to the given curve at the given points. (v) x = cos t, y = sin t at t = (pi)/4

The equation to the tangent to the curve y = be ^(-x/a) at the point where it crosses the y-axis is