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11.9 The Trapezium Rule

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Question 42

A research drone monitors the rate of data transmission, $D (t)$ , in gigabits per hour, from a remote sensor over a 4-hour period. The transmission rate is modelled by the function

\frac{1.25^t}{\sqrt{0.5t^2 + 4}}, \quad 0 \le t \le 4

Complete the table below, giving the values of $D (t)$ to 3 decimal places.

$t$	0	1	2	3	4
$D (t)$	0.500		0.638		0.705

[2]

Use the trapezium rule, with all the values of $D (t)$ from the completed table, to find an approximate value for the total data transmitted,

\int_{0}^{4} \frac{1.25^t}{\sqrt{0.5t^2 + 4}} \, dt

[5]

Markscheme

11.9 The Trapezium Rule Questions

A Level
Maths
11.9 The Trapezium Rule

44 exam-style questions on Edexcel A Level Maths 11.9 The Trapezium Rule. Each one has a worked solution and a mark scheme showing where the marks go.

11.9 The Trapezium Rule

Question bank

11.9 The Trapezium Rule

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Question 42

A research drone monitors the rate of data transmission, $D (t)$ , in gigabits per hour, from a remote sensor over a 4-hour period. The transmission rate is modelled by the function

\frac{1.25^t}{\sqrt{0.5t^2 + 4}}, \quad 0 \le t \le 4

Complete the table below, giving the values of $D (t)$ to 3 decimal places.

$t$	0	1	2	3	4
$D (t)$	0.500		0.638		0.705

[2]

Use the trapezium rule, with all the values of $D (t)$ from the completed table, to find an approximate value for the total data transmitted,

\int_{0}^{4} \frac{1.25^t}{\sqrt{0.5t^2 + 4}} \, dt

[5]

Markscheme

11.9 The Trapezium Rule Questions

A Level
Maths
11.9 The Trapezium Rule

44 exam-style questions on Edexcel A Level Maths 11.9 The Trapezium Rule. Each one has a worked solution and a mark scheme showing where the marks go.