Question

Find the tangent equation to the given curve that passes through the point (4, 3). Note that due to the t2 in the x equation and the 3 in the y equation, the equation in the parameter t has more than one solution. This means that there is a second tangent equation to the given curve that passes through a different point. 

x = 3t²+1 

y = 2t³ + 1 

y = (tangent at smaller t) 

y =  (tangent at larger t)

Answer 1