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9.9 Using Second Derivatives

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Question 19

A marine engineer models the energy efficiency, $E$ , of a prototype underwater turbine. The efficiency is measured in dimensionless units and depends on the flow velocity of the tide, $v$ knots, according to the equation

4v^{\frac{3}{2}} - 12, \quad v > 1.

According to this model:

find, using calculus, the maximum possible efficiency $E$ .

[5]

Justify, also using calculus, that the efficiency you have found is a maximum.

[3]

Markscheme

9.9 Using Second Derivatives Questions

A Level
Maths
9.9 Using Second Derivatives

57 exam-style questions on Edexcel A Level Maths 9.9 Using Second Derivatives. Each one has a worked solution and a mark scheme showing where the marks go.

9.9 Using Second Derivatives

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9.9 Using Second Derivatives

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Question 19

4v^{\frac{3}{2}} - 12, \quad v > 1.

According to this model:

find, using calculus, the maximum possible efficiency $E$ .

[5]

Justify, also using calculus, that the efficiency you have found is a maximum.

[3]

Markscheme

9.9 Using Second Derivatives Questions

A Level
Maths
9.9 Using Second Derivatives

57 exam-style questions on Edexcel A Level Maths 9.9 Using Second Derivatives. Each one has a worked solution and a mark scheme showing where the marks go.