Top answers

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
8131 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 ...
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Answered by Susanne K. • Maths tutor
5605 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
11212 Views

What if my equation doesn't factorise?

For all quadratic equations, you can use the quadratic formula . Given an equation of the form ax 2 +bx+c , you can plug those values into this formula: x 1 , x 2 = (-b +/- sqrt(b 2 - 4ac)) / 2a Note: the te...
HM
Answered by Hayden M. • Maths tutor
5037 Views

Given that y = exp(2x) * (x^2 +1)^(5/2), what is dy/dx when x is 0?

y = e 2x (x 2 +1) 5/2 The first step is to calculate dy/dx. We can do this by splitting y into two parts and using the chain rule of differentiation: y = uv where u = e 2x and v = (x 2 +1) 5/2 . We now diffe...
AS
Answered by Adam S. • Maths tutor
13563 Views