During a test flight of a high-performance drone, the power consumption rate $P$ (in kW) is monitored over a 2-minute interval. The rate at time $t\,$ minutes is modelled by the function:

\frac{2.5^t}{\sqrt{2t^2 + 5}}

Complete the table below, giving the values of $P$ to 3 decimal places.

$t$	0	0.5	1	1.5	2
$P$	0.447		0.945		1.733

Use the trapezium rule, with all the values of $P$ from the completed table, to find an approximate value for the total energy consumed over the interval:

\int_{0}^{2} \frac{2.5^t}{\sqrt{2t^2 + 5}} \, dt

During a test flight of a high-performance drone, the power consumption rate $P$ (in kW) is monitored over a 2-minute interval. The rate at time $t\,$ minutes is modelled by the function:

\frac{2.5^t}{\sqrt{2t^2 + 5}}

Complete the table below, giving the values of $P$ to 3 decimal places.

$t$	0	0.5	1	1.5	2
$P$	0.447		0.945		1.733

Use the trapezium rule, with all the values of $P$ from the completed table, to find an approximate value for the total energy consumed over the interval:

\int_{0}^{2} \frac{2.5^t}{\sqrt{2t^2 + 5}} \, dt

1.12 I: Numerical methods (A-level only)

Question 53

Markscheme

1.12 I: Numerical methods (A-level only)

Question 53

Markscheme

1.12 I: Numerical methods (A-level only)

Question 53

1.12 I: Numerical methods (A-level only) Questions

1.12 I: Numerical methods (A-level only)

Question 53

1.12 I: Numerical methods (A-level only) Questions