Top answers

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

x 2 + y 2 + 10x + 2y - 4xy = 10 Start by differentiating both sides by x, the terms not containing y are differentiated normally, x 2 becomes 2x, 10x becomes 10, and 10 becomes 0. For the y 2 term, by implic...
GL
Answered by Guy L. • Maths tutor
15049 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 travels is ...
GL
Answered by Guy L. • Maths tutor
13718 Views

How do I simplify a surd?

To simplify a surd, remember that sqrt(a*b) = sqrt(a) sqrt(b) If either a or b are square numbers, you can simply write its square root. Hence, to simplify a surd, you must look for any factors of the number...
HM
Answered by Hayden M. • Maths tutor
8027 Views

What are simultaneous equations and how do I solve them?

E.g you have 2 equations and have to set them equal to each other. 2x + 3y = 6 -3x + y = 2 multiply first equation by 3, second by 2 to get 6 x + 9y = 18 -6 x + 2y = 4 11 y = 22 y = 2 -6x + 2(2) = 4 -6x = 0 ...
SK
Answered by Susanne K. • Maths tutor
5535 Views

In integration, what does the +c mean and why does it disappear if you have limits?

When you differentiate, the constant disappears, because it is not dependent of the variable. So when you integrate, you have to add the constant again. However, you can't know the vaulue of c without being ...
SK
Answered by Susanne K. • Maths tutor
11122 Views