Task 3

In this task, you will be able to apply calculus to engineering problems.

Scenario: In the civil and building engineering problem, calculus is usually used in the analysis. For instance, we can use it to state the location and classification of stationary point, calculation of bounded area and volume.

Given  , determine partial derivatives of functions

Task 3.2 (P3.2)

a) Show that the curve

Classify stationary points of the above function with one variable.

Task 3.3 (P3.3)

Determine the following integrals.

You need to clearly make justification to the selection of methods and techniques applied.

You also need to show the justification of your results.

Task 3.4 (P3.4)

Use definite integral to find out the area of the ellipse.