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1.10.5 Implicit and parametric differentiation (A-level only)

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Question 43

The flight path of a search-and-rescue drone following a specific signal intensity contour is modeled by the equation

x^2 + 2y^3 - 12xy = 0

for $\ge 0$ . The path has a stationary point at $P$ in the first quadrant where the tangent to the path is horizontal.

Show that the $y$ -coordinate of $P$ satisfies the equation

y^2(y - 18) = 0

[6]

Hence, determine the coordinates of $P$ .

[3]

Markscheme

1.10.5 Implicit and parametric differentiation (A-level only) Questions

A Level
Maths
1.10.5 Implicit and parametric differentiation (A-level only)

82 exam-style questions on AQA A Level Maths 1.10.5 Implicit and parametric differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.10.5 Implicit and parametric differentiation (A-level only)

Question bank

1.10.5 Implicit and parametric differentiation (A-level only)

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Question 43

The flight path of a search-and-rescue drone following a specific signal intensity contour is modeled by the equation

x^2 + 2y^3 - 12xy = 0

for $\ge 0$ . The path has a stationary point at $P$ in the first quadrant where the tangent to the path is horizontal.

Show that the $y$ -coordinate of $P$ satisfies the equation

y^2(y - 18) = 0

[6]

Hence, determine the coordinates of $P$ .

[3]

Markscheme

1.10.5 Implicit and parametric differentiation (A-level only) Questions

A Level
Maths
1.10.5 Implicit and parametric differentiation (A-level only)

82 exam-style questions on AQA A Level Maths 1.10.5 Implicit and parametric differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.