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How to differentiate x^2 + y^2 - 2x + 6y = 5

This is an implicit function, meaning the x and y terms are not able to be seperated onto different sides, i.e. y=f(x). Therefore, we must use implicit differentiation . Before we differentiate the equation ...
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Answered by Anneke S. • Maths tutor
14269 Views

When is the verb sent to the end of the sentence?

The verb is sent to the end of the sentence after certain conjunctions called subordinating conjunctions. You simply have to learn what these conjunctions are, as there is no specific rule. Subordinating con...
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Answered by Louise B. • German tutor
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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...
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Answered by Louise B. • French tutor
3295 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
9349 Views

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 ...
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Answered by Shibo L. • STEP tutor
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