Advanced calculus Question 1 Curve C is defined parametrically as follows: x= |n(t), y= 3t2+7t4 Find the exact value of the gradient of Curve C at the point (|n(3), 594) (5 marks) Question 2 Consider the curve 8, defined implicitly as follows: 2 x . ?sm(y)+8y2-5x2=0 Given that X >0, find the equation of the normal to curve 5, where y= %. Give your answer in the form y= mx+ c where m and c are exact constants (10 marks)