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Maths
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Simplify (8x^2 + 36x)/(2x + 9) and explain why it is an even expression.

You have to understand what makes an expression even. Even numbers are formed by either two odd numbers being added together or an even number x an odd number. We can start by looking at the denominator. ...

MB
Answered by Mounir B. Maths tutor
3291 Views

Solve the simultaneous equations. 2x + y = 18, x − y = 6

1.Isolate either x or y. in this example you can do this by moving adding y to both sides of the second equation x-y=6 becomes x=6+y
2.substitute this into the other equation...

SR
Answered by Sarah R. Maths tutor
4747 Views

Solve by factorisation: 2(x^2) - 5x - 12 = 0

First step is to multiply coefficient of first term (2) with the constant (-12) to enable us to split the middle term.2*(-12) = -24, therefore we need to find two numbers that multiply to -24, and add to ...

EC
Answered by Edward C. Maths tutor
5074 Views

If y = ln (x+1) sin x , find dy/dx

u = ln (x+1) v = sin x
du/dx = 1/(x+1) dv/dx = cos x
Therefore, by the product rule,
dy/dx = [sin x / x+1] + [ln (x+1) cos x]

EC
Answered by Edward C. Maths tutor
6521 Views

Find the gradient of the curve y=2sinx/x^3 at the point x=

  1. To find the gradient of the curve we must differentiate the function. The function is in the form of a quotient, y=u/v, where u and v are functions of x. Therefore, we can use the quotient rule, dy/...
HM
Answered by Holly M. Maths tutor
3882 Views

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