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How would you revise for a French oral exam?

Write key phrases (both basic and sophisticated) on flashcards that you can form answers around as I found that simply memorising answers can lead to freezing and blanking if you forget the whole answer! Thi...
LH
Answered by Laura H. • French tutor
3717 Views

Express '6cos(2x) +sin(x)' in terms of sin(x).

6cos(2x) +sin(x).Using the double angle formula for cosine (or otherwise), cos(2x) = cos(x)cos(x) - sin(x)sin(x) .cos(2x) = cos^2(x) - sin^2(x) .Hence, 6cos(2x) +sin(x) = 6(cos^2(x) - sin^2(x)) + sin(x). Now...
RM
Answered by Robbie M. • Maths tutor
5880 Views

Find the x and y coordinates of the turning points of the curve 'y = x^3 - 3x^2 +4'. Identify each turning point as either a maximum or a minimum.

The first part of the problem is solved by differentiating once and equating this to zero: y = x^3 - 3x^2 +4 . dy/dx = 3x^2 - 6x . dy/dx = x(3x - 6) . At the turning points; x(3x - 6) = 0 (turning points occ...
RM
Answered by Robbie M. • Maths tutor
13693 Views

Calculate the derivative of the following function: f(x)=cos(3x))^2

The answer can be found by using the chain rule and simple substitution as well as basic knowledge of differentiation.f’(x)= -6cos(3x)sin(3x)
JM
Answered by Jeff M. • Maths tutor
5222 Views

How should I translate an ablative absolute? I've never managed to get it.

You should always start by translating it with 'with,' so for example, 'with the man having laughed,' 'with the man laughing,' or 'with the man being about to laugh.' If you're not sure of the tense, see wha...
JG
Answered by Joseph G. • Latin tutor
2476 Views