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What's the difference between imperfect and perfect?

Perfect (avoir/être + past particle) is used to describe a single, completed action in the past. For example, I ate a sandwich = J'ai mangé un sandwich. The action happened once, and it's finished. Compare t...
LB
Answered by Louise B. • French tutor
3397 Views

What are the rules for decomposition of partial fractions?

There are some very useful rules when dealing with partial fractions 1) For every linear factor such as ax + b in the denominator, there will be a partial fraction of the form A / ax + b . 2) For every repea...
FW
Answered by Filip W. • Maths tutor
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Prove that any number of the form pq, where p and q are prime numbers greater than 2, can be written as the difference of two squares in exactly two distinct ways.

If we want to prove it, we need to prove every odd number can be expressed as the difference of two squares, which is very easy. Suppose this odd number to be 2n-1, then we can see 2n-1=n 2 -(n-1) 2 Then we ...
SL
Answered by Shibo L. • STEP tutor
8295 Views

Solve this pair of simultaneous equations (1) 5x+2y=20 and (2) x+4y=13

To solve these equations, our aim is to find a value of x and a value of y that satisfy both equations at the same time. By satisfy we mean, if we plug our values in for x and y then the left hand side and r...
JH
Answered by Jenny H. • Maths tutor
4758 Views

How do I differentiate y=(4+9x)^5 with respect to x?

The method we use to differentiate this form of equation is called the chain rule. The chain rule is dy/dx = dy/du x du/dx We can rememeber the right way up of the terms on the right hand side by treating th...
JH
Answered by Jenny H. • Maths tutor
5589 Views