Edexcel Mathematics January 2023 · Paper 1 · Question 4 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

January 2023 · Paper 1 · Question 4 · 5 marks

4. In this question you must show all stages of your working. Solutions r elying entirely on calculator technology are not acceptable. The curve C has equation y = f (x) where x ∈  Given that • f′(x ) = 2 x + 1 2cos x • the curve has a stationary point with x coordinate α • α is small (a) use the small angle approximation for cos x to estimate the value of α to 3 decimal places. (3) The point P (0, 3) lies on C (b) Find the equation of the tangent to the curve at P, giving your answer in the form y = mx + c , where m and c are constants to be found. (2) 9