**Task 1**

Calculate the work done if the force increases from 100N to 700N using: Take the number of cut sections to be 5.

**i)** An analytical integration technique

**ii)** A numerical integration technique

Compare the two answers

Using a computer spreadsheet increase the number of values used for your numerical method

Analyze any effect the size of the numerical step has on the result.

**Task 2**

Find the indefinite integral of the function

Calculate the definite integral

**Task 3**

An object is moving with a uniform acceleration a = 3ms‾², determine the functions for:

Velocity (*ms‾¹*) – given v(0) = 12*ms‾¹*

Displacement *s(m)* – given *s*(0) = 7*m*

Calculate the values of *v* and *s* for:

**i)** *t = 3s*

**ii)** *t =7s*

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