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To make this equation easier to differentiate it would be easier to write it using index rules as y = 4x^3 - 5x^-2 From here we can begin to differentiate: dy/dx = 3*4x^(3-1) - (-2)*5x^(-2-1) Then finally...

Firstly, let's split the equation "xcosx" into two parts to integrate them separately. 1) Let u=x and dv/dx=cosx 2)As the integral of x is 1, du/dx=1 3)To find v, we integrate cosx to get v=sinx...

This is an interesting way to get students thinking about what narrative techniques a writer can use to keep the reader interested. This might be a nice question to explore a students understanding of nar...

This is a simple manner to access how suited the student is to a course and how they feel they will develop in terms of their current skill-set, and what they could learn.

This seemingly easy question can be a great way of assessing student's ability to hear major/minor tonalities and ability to read music - e.g. are there any naturals, sharps, or flats on the sheet music? ...