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1.11.2 Integrating standard functions

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Question 61

The vertical height $H$ of a roller coaster track, in metres, is modeled by the equation $H = H (x), x > 0$ , where $x$ is the horizontal distance from a reference point. The track passes through the point $P (4, 10)$ .

Given that

\frac{dH}{dx} = \frac{3x^2 - 8}{\sqrt{x}}

Find the equation of the tangent to the track profile at $P$ , writing your answer in the form $y = m x + c$ , where $m$ and $c$ are integers to be found.

[3]

Find the function $H (x)$ .

[5]

Markscheme

1.11.2 Integrating standard functions Questions

A Level
Maths
1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.

1.11.2 Integrating standard functions

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1.11.2 Integrating standard functions

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Question 61

Given that

\frac{dH}{dx} = \frac{3x^2 - 8}{\sqrt{x}}

Find the equation of the tangent to the track profile at $P$ , writing your answer in the form $y = m x + c$ , where $m$ and $c$ are integers to be found.

[3]

Find the function $H (x)$ .

[5]

Markscheme

1.11.2 Integrating standard functions Questions

A Level
Maths
1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.