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1.7.17 Product and quotient rules (A-level only)

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Question 49

The acoustic power $P$ of a specialized sonar pulse is modeled as a function of its frequency $f$ (in kHz) by the equation

f^{-10} e^{0.05f + 4}, \quad f > 0

Show that the power $P$ has exactly one stationary point. Fully justify your answer.

[5]

Markscheme

1.7.17 Product and quotient rules (A-level only) Questions

A Level
Maths
1.7.17 Product and quotient rules (A-level only)

59 exam-style questions on OCR A Level Maths 1.7.17 Product and quotient rules (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.7.17 Product and quotient rules (A-level only)

Question bank

1.7.17 Product and quotient rules (A-level only)

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53

Question 49

The acoustic power $P$ of a specialized sonar pulse is modeled as a function of its frequency $f$ (in kHz) by the equation

f^{-10} e^{0.05f + 4}, \quad f > 0

Show that the power $P$ has exactly one stationary point. Fully justify your answer.

[5]

Markscheme

1.7.17 Product and quotient rules (A-level only) Questions

A Level
Maths
1.7.17 Product and quotient rules (A-level only)

59 exam-style questions on OCR A Level Maths 1.7.17 Product and quotient rules (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.