Top answers

Maths
All levels

What are the most important trig identities we need to know?

cos^2(A) + sin^2(A) = 1, sin(A+B) = sinAcosB + cosAsinB, cos(A+B) = cosAcosB - sinAsinB, sin2A = 2sinAcosA (if A = B), cos2A = cos^2(A) - sin^2(A) (if A = B), cos2A = 1 - 2sin^2(A) => sin^2(A) = 1/2(1 ...

BH
Answered by Bowen H. Maths tutor
4230 Views

Solve the differential equation dy/dx = 6xy^2 given that y=1 when x=2.

This equation can be solved using separation of variables. Firstly we rearrange the equation so that all of the y's are on the left hand side and all of the x's are on the right: 1/y2* dy = 6x ...

WS
Answered by Will S. Maths tutor
6978 Views

Find the binomial expansion of (4-8x)^(-3/2) in ascending powers of x, up to and including the term in x^3. Give each coefficient as a fraction in its simplest form. For what range of x is a binomial expansion valid?

(4-8x)^(-3/2) =Factoring out 4^(-3/2) to make binomial expansion easier(1-2x)^(-3/2) =Using the binomial series expansion in the formula booklet, up to the term in x^3<...

HT
Answered by Hamish T. Maths tutor
8501 Views

(Economics A-level) Is the cross elasticity of demand for tea likely to be positive or negative following a rise in the price of milk? Explain your answer

Let's first break down the concepts involved in this question. Price elasticity of demand is the responsiveness of the quantity of a good demanded to changes in the price of that good. Cross price elastic...

DG
Answered by Dylan G. Maths tutor
6845 Views

There are 11 pens in a box. 8 are black and 3 are red. Two pens are taken out at random without replacement. Work out the probability that the two pens are the same colour.

There are two solutions here which must be found. Both 2 red pens and 2 black pens being selected.
First the red pensIf the total number of pens is 11 and number of red pens is 3, the probability of ...

JR
Answered by Jack R. Maths tutor
9041 Views

We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning