OCR A-level Mathematics A · H240

Applications of differentiation

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QUESTION PAPER

Mathematics · A levelPure mathematics · H240/01

Torus Maths original · OCR style

The curve $C$ has equation $y=(x^2+ax+b)e^{-x}$ , where a and b are constants. At $x=1$ , both $dy/dx$ and $d^2y/dx^2$ are zero.

(a)

Determine a and b.

[5]

(b)

Determine the nature of the stationary point at x=1. Justify your answer.

[3]

(c)

Find the exact area between C, the x-axis and the lines x=0 and x=1.

[4]

Question reference: ocr-stretch-calculus-02Report a question →

Answer booklet

Question 1 · Show your working

(a)

Answer booklet · Question 1(a)

(b)

Answer booklet · Question 1(b)

(c)

Answer booklet · Question 1(c)

Need a nudge?Three small hints · no answer revealed