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What is mathematics and why should I study it?

Mathematics is a language that is predominantly used in the fields of science; it is the study of patterns, puzzles and number theory which is then applied to real life situations such as mechanics, decis...

Answered by Aaron R. • Maths tutor

2362 Views

Given y= sqrt(x) + 4/sqrt(x) + 4 , find dy/dx when x=8 giving your answer in form Asqrt(2) where A is a rational number.

Read and understand the questionRe-write in easier form to be able to differentiateDifferentiate and sub in value for xSimplifyMake sure we answer the question

Answered by Corey M. • Maths tutor

5307 Views

In a right angle triangle (where angle ABC is 90 degrees), you are given that angle /_ ACB is 14 degrees and length "AB" is 4. Find the length of "BC".

Using SOH CAH TOA, and labelling each side of the triangle, we see that we are using "TOA". We have the following: tan(14)=4/"BC". Rearranging for "BC", we get the following:...

Answered by Andreas W. • Maths tutor

2449 Views

Factorise the following- A) 4x+12xz. B) 3xy + 6y d) 4A^2B^2+ 8AB^2 +16AB^3

A) Firstly look at what is common - X and the number 4. Take these out the bracket . Then think what you have left and place that in the inner bracket. 4x(1+3z)
B) Again this is similar to the first ...

Answered by Hannah C. • Maths tutor

2288 Views

When do two simultaneous equations have a solution?

This question was put to someone during their teacher training. This is a good question to ask, it is very important in maths to know that something you intend to study does actually exist. To explain the...

Answered by Dylan D. • Maths tutor

2380 Views