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If y=cos(3x)cosec(4x), find dy/dx.

Use the product rule: Let u = cos3x , v = cosec4x Then du/dx = -3sin3x , dv/dx = -4cosec4xcot4x (standard result, given in the formula booklet) Hence dy/dx = -4cosec4xcot4xcos3x - 3sin3xcosec4x . (...

Answered by Pria D. • Maths tutor

4087 Views

What is the difference between internal energy, temperature, and heat?

Internal energy, temperature, and heat are closely related but distinct concepts. The microscopic particles that make up a body are in constant motion and may exert forces on ea...

Answered by Sotirios K. • Physics tutor

14123 Views

Chinese characters seem so overwhelming and unlike any other language, what is the best way for me to learn them?

Chinese characters appear to have little correlation at the start and because there are so many of them, they are hard to get your head round. Repetition is key to learning characters. it seems obvious, b...

Answered by Lily M. • Mandarin tutor

1635 Views

There are four prisoners in a line with a brick wall separating them to three and one. They are wearing alternative coloured black and white hats, but they do not know this. They only see ahead of them - which prisoner can solve the colour of their hat?

Let the prisoners be named: A(black); WALL; B(white), C(black), D(white)

The middle prisoner in the row of three must know the colour of their hat.

D can see A and B but cannot work out the ...

Answered by Shannon G. • Oxbridge Preparation tutor

2109 Views

Find the coordinates of the turning point of y=e^(2x)*cos(x)?

Think about which process we need to determine the turning point? - Differentiation
Think about the form of the given function. - Product of two functions, so use Product Rule...

Answered by Abbas H. • Maths tutor

6451 Views