Search our library of homework questions

Top answers

All subjects

All levels

x^2 + y^2 + 10x + 2y - 4xy = 10. Find dy/dx in terms of x and y, fully simplifying your answer.

x² + y² + 10x + 2y - 4xy = 10

Start by differentiating both sides by x, the terms not containing y are differentiated normally, x² becomes 2x, 10x becomes ...

Answered by Guy L. • Maths tutor

14263 Views

Paul travels from Rye to Eston at an average speed of 90 km/h. He travels for T hours. Mary makes the same journey at an average speed of 70 km/h. She travels for 1 hour longer than Paul. Work out the value of T

As distance is equal to speed multiplied by time, the distance Paul has traveled is 90 multiplied by T, or 90T.
As Mary is making the same journey, she travels the same distance. The distance she...

Answered by Guy L. • Maths tutor

13110 Views

How does a HDD (Hard drive disk) work?

A HDD is a mechanical form of storage, using electromagnetism to store and write data.
Mechanical drives are very prone to data lose and breaking when moved around, due to their mechanical nature.

Answered by Harvey B. • Computing tutor

3954 Views

Define tanh(t) in terms of exponentials

Whenever you have a define by exponentials question start with:

sinh(t)=0.5(e^t-e^-t) and cosh(t)=0.5(e^t+e^-t)

We know tanh(...

Answered by Nathaniel S. • Further Mathematics tutor

3342 Views

How do I properly introduce myself using a formal register in Italian?

Differently from English, Italian has a specific form to use when addressing people in a formal way. Generally speaking you have to use the third singular person of a verb (Egli-Ella-Lui-Lei) instead o...

Answered by Alessandro V. • Italian tutor

5405 Views