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Perplex
IB Math AISL
/
Approximations & Error
/

Problem Bank

IB Math AISL
/
Approximations & Error
/

Problem Bank

[Maximum mark: 5]

A solar farm records its power output (in kilowatt-hours) once every hour from 10 a.m. to 2 p.m. The data are shown below, where ​t​ is hours after 10 a.m. and ​P(t)​ is the power generated in that hour.

​t​ (h)

0

1

2

3

4

​P(t)​ (kWh)

52

68

85

95

78

  1. Use the trapezoidal rule with an interval width of ​1​ to estimate the total energy generated between 10 a.m. and 2 p.m..

    [3]

    To earn a crown, get your answer ready before you reveal the options!

A high-precision meter later shows the true total was ​325​ kWh.

  1. Calculate the percentage error of your estimate from part (a).

    [2]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

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[Maximum mark: 5]

A solar farm records its power output (in kilowatt-hours) once every hour from 10 a.m. to 2 p.m. The data are shown below, where ​t​ is hours after 10 a.m. and ​P(t)​ is the power generated in that hour.

​t​ (h)

0

1

2

3

4

​P(t)​ (kWh)

52

68

85

95

78

  1. Use the trapezoidal rule with an interval width of ​1​ to estimate the total energy generated between 10 a.m. and 2 p.m..

    [3]

    To earn a crown, get your answer ready before you reveal the options!

A high-precision meter later shows the true total was ​325​ kWh.

  1. Calculate the percentage error of your estimate from part (a).

    [2]

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!