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9.7 Parametric Differentiation

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Question 28

The path of a specialized micro-drone as it ascends through a restricted aerodynamic corridor is modeled by a curve $C\,$ in the $x y$ -plane. The horizontal displacement $x$ (in decametres) of the drone is related to its vertical height $y$ (in decametres) by the equation

e^{-5y}, \quad y \in \mathbb{R}

Show that

\frac{dy}{dx} = \frac{y}{x(1 - 5y)}

[3]

Given that the vertical line with equation $x = k$ , where $k\,$ is a constant, intersects $C\,$ at exactly two points,

find the range of possible values for $k$ .

[4]

Markscheme

9.7 Parametric Differentiation Questions

A Level
Maths
9.7 Parametric Differentiation

35 exam-style questions on Edexcel A Level Maths 9.7 Parametric Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

9.7 Parametric Differentiation

Question bank

9.7 Parametric Differentiation

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Question 28

e^{-5y}, \quad y \in \mathbb{R}

Show that

\frac{dy}{dx} = \frac{y}{x(1 - 5y)}

[3]

Given that the vertical line with equation $x = k$ , where $k\,$ is a constant, intersects $C\,$ at exactly two points,

find the range of possible values for $k$ .

[4]

Markscheme

9.7 Parametric Differentiation Questions

A Level
Maths
9.7 Parametric Differentiation

35 exam-style questions on Edexcel A Level Maths 9.7 Parametric Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.