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=5109 exam-style questions on CCEA A Level Maths 3.5.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.