Course home

11.1 Integrating Standard Functions

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 54 55 56 57 58 59 60 61 62 63 64 65 66 67

Question 19

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

11.1 Integrating Standard Functions Questions

A Level
Maths
11.1 Integrating Standard Functions

80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.

11.1 Integrating Standard Functions

Question bank

11.1 Integrating Standard Functions

Easy Medium

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 54 55 56 57 58 59 60 61 62 63 64 65 66 67

Question 19

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

11.1 Integrating Standard Functions Questions

A Level
Maths
11.1 Integrating Standard Functions

80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.