This question was posed by a student.



Explanation
Exact versus approximation. The two curves depart from each other at x=pi/5

When we use the approximation to compute the volume, it differs significantly from the exact volume.

This question was posed by a student.



Explanation
Exact versus approximation. The two curves depart from each other at x=pi/5

When we use the approximation to compute the volume, it differs significantly from the exact volume.

Advanced graph transformation can be done in stages, using the replacement method. Each time, we replace x or y.


In 2013 alevel, factorisation of the difference of two cubes can be used in one of the questions
Here are the formulas students should remember:

Students can use the mnemonic “SOAP” to help them remember the formula.
S: Same sign
O: Opposite sign
A: Always
P: Positive



The following example illustrates how we can use GC in Differential equations, and avoid the need to do integration to solve differential equation.

Solution for part ii



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