Top answers

Find the binomial expansion of (2+x)^3

We know thst the binomial expansion formula is (1+x) n = 1+nx +(n)(n-1)(x 2 )/2! ...etc Thus we want to rearrange the expression we are given into the form (1+x) n so that we can apply the formula to it. Tak...
LV
Answered by Laura V. • Maths tutor
11554 Views

Given that y = 3x(^2) + 6x(^1/3) + (2x(^3) - 7)/(3(sqrt(x))) when x > 0 find dy/dx

Firstly, the (2x(^3) - 7)/(3(sqrt(x))) can be split into (2x(^3))/(3(sqrt(x)) and -7/(3(sqrt(x)). These can then be simplified to (2/3)x(^5/2) and -(7/3)x(^-1/2) respectively. This then gives the equation y ...
SH
Answered by Samuel H. • Maths tutor
17705 Views

Solve the following simultaneous equations: 3a + 2b = 36 equation ( 1), and 5a + 4b = 64 equation (2)

This question can be answered by the elimination method, substitution method or graphically. I find the elimination method easiest, especially when you can see that the coefficient of a variable (in this cas...
AG
Answered by Alejandro G. • Maths tutor
6560 Views

There are 30 kg of potatoes in a wheelbarrow. A farmer adds some carrots into the wheelbarrow. The total weight of the wheelbarrow now is 110 pounds. What weight of carrots did the farmer put into the wheelbarrow? 1 kg = 2.2 pounds

First of all, you want to get all your data in the same units, so either in pounds or kg. Here, as you are told that 1kg = 2.2 pounds, it seems easier to convert the amount of potatoes from 30kg into pounds,...
AG
Answered by Alejandro G. • Maths tutor
5668 Views

Integrate, by parts, y=xln(x),

First, we need to separate the RHS as components of U and V. Using the LATE (logarithms, algebra, trigonometry, exponentials) technique, we see that logarithms have priority to algebra hence U = lnx and dV/d...
MS
Answered by Makhdoom S. • Maths tutor
3838 Views