Top answers

Do the following vector equations intersect? l = (1 + μ)i + (2 - μ)j + (2μ - 5)k, and m = 2λi + 3j + (2 + λ)k.

Firstly we must appreciate that if there is an intersection between l and m, this means that there exists a point that occurs on both lines. Therefore if there is an intersection, it is when l = m .So we mus...
HD
Answered by Harry D. • Maths tutor
8354 Views

Differentiate y= (2x+1)^3. [The chain rule]

For maths questions I feel that getting your head around the concepts are difficult but once achieved allow you to comfortably answer a wide range of questions. Therefore for maths tuition I think it is impo...
JJ
Answered by James J. • Maths tutor
19713 Views

What is the probability that a leap year has 53 Sundays?

This is pretty straight forward. There are 366 days in a leap year, i.e, 1 more than a normal year. Now, 52 weeks make up 344 days (52 x 7 = 344) That means that we already have 52 sundays for sure. Then, we...
YR
Answered by Yatharth R. • Maths tutor
75676 Views

How do you solve 3sin2AtanA=2 for 0<A<180?

The first step in solving any trigonometric equation is to convert everything into sine and cosine functions. So in this case we need to start by converting the tanA. We can use the identity: tanA=sinA/cosA ...
SW
Answered by Sarah W. • Maths tutor
6343 Views

Sketch the curve y = (x^2 - 9)(x - 2)

When it comes to curve sketching, there are a number of tests that you can do to find out crucial characteristics about the curve. They are following: 1. Setting x = 0 will give you the points at which the c...
DS
Answered by Dan S. • Maths tutor
7139 Views