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How do I form the passé composé with the auxiliary verb être?

In French the majority of verbs use avoir in the perfect tense e.g. je joue becomes j'ai joué (with 'ai' being avoir conjugated into the first person 'je' or I).

However some verbs take ê...

Answered by Emma B. • French tutor

3004 Views

Using the addition formula for sin(x+y), find sin(3x) in terms of sin(x) and hence show that sin(10) is a root of the equation 8x^3 - 6x + 1

First we state the formula for sin(x+y)

sin(x+y) = sin(x)cos(y) + cos(x)sin(y)

Letting y = 2x

sin(x+2x) = sin(x)cos(2x) + cos(x)sin(2x)

Now sin(2...

Answered by Kyle R. • Maths tutor

21224 Views

Using Integration by Parts, find the indefinite integral of ln(x), and hence show that the integral of ln(x) between 2 and 4 is ln(a) - b where a and b are to be found

Using integration by parts, we can re-write the integral of ln(x) as (xln(x) - int(x(1/x))) = x*ln(x) - x

Therefore, evaluating between 2 and 4 gives us (4ln(4) - 4) - (2

Answered by Kyle R. • Maths tutor

3514 Views

Why is centripetal acceleration directed inwards to the centre of the circle during centripetal motion? If I’m in a car while it’s cornering, I seem to be pushed outwards away from the centre, not inwards.
When I initially met this problem, I was slightly confused because of the car analogy above. So the way to think about this is that your body and the car are separate, and just as the car starts going ...
RG
Answered by Rudolfs G. • Physics tutor
4934 Views

Why are UK government gilt (bond) yields rising and why is that bad?
A bond or a gilt is a way of borrowing money for corporations or governments. For example, if an imaginary government wanted to borrow $100, it could issue a single bond, and an investor could buy that...
RG
Answered by Rudolfs G. • Economics tutor
24024 Views

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Top answers

How do I form the passé composé with the auxiliary verb être?

Using the addition formula for sin(x+y), find sin(3x) in terms of sin(x) and hence show that sin(10) is a root of the equation 8x^3 - 6x + 1

Using Integration by Parts, find the indefinite integral of ln(x), and hence show that the integral of ln(x) between 2 and 4 is ln(a) - b where a and b are to be found

Why is centripetal acceleration directed inwards to the centre of the circle during centripetal motion? If I’m in a car while it’s cornering, I seem to be pushed outwards away from the centre, not inwards.

Why are UK government gilt (bond) yields rising and why is that bad?

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