A research probe measures the atmospheric pressure PPP (in kPa) relative to its horizontal distance ddd (in km) from the center of a stable weather system, modeled by the function P(d)=101−120(d2−25)2P(d) = 101 - \frac{1}{20}(d^2 - 25)^2P(d)=101−201(d2−25)2 for d≥0d \ge 0d≥0.
Determine the equation of the normal to the graph of pressure against distance at the point where d=5d = 5d=5.
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P=101 P = 101 P=101 P=5 P = 5 P=5 d=101 d = 101 d=101 d=5 d = 5 d=5Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
