Context for question 10The variables x and y satisfy the equation y2=kx+2x−2, where k is a constant.
10(a)Implicit Parametric Inverse DifferentiationHard5 marksShow that dxdy=x2−42y.AnswerTypeWriteMath0 wordsGrade answerSolutionGrading criteria
10(b)Differentiation Rules Tangents NormalsHard4 marksGiven that k=5, find the angle between the tangents to the curve when x=3.Give your answer in the form atan−1(cb), where a, b and c are integers.WorkingTypeWriteMath0 wordsθ=Grade answerSolutionGrading criteria