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œintegrate xe4x in respect to x

1/4xe^4x-1/16e^4x +c
MA
Answered by M A. • Maths tutor
4184 Views

The point on the circle x^2+y^2+6x+8y = 75 which is closest to the origin, is at what distance from the origin? (Taken from an MAT paper)

This is a good example of a question where intuition about geometry is important. Completing the square is a standard A level practice to find the equation of a circle. Doing this we get (x+3) 2 -9 +(y+4) 2 ...
JM
Answered by Jack M. • Maths tutor
7695 Views

Can you prove to me why cos^2(X) + sin^2(X) = 1?

The answer to this lies in the geometry of a circle. At GCSE you were taught that a circle has a radius (which I will call R ) which is the distance from the centre to a point on the circle. We put the centr...
JM
Answered by Jack M. • Maths tutor
4241 Views

A) Raf, Jasmin and Carlos swim lengths of the pool for charity. Raf swims 30 more lengths than Jasmin. Jasmin swims four times as many lengths as Carlos. Altogether they swim 372 lengths. How many lengths each person swim?

NB: Algebra question. As Carlos swims the lowest amount of lengths compared to Raf and Freya, and the information from the question follows from the total amount Carlos has swam, we use the symbol 'S' to den...
FW
Answered by Fergus W. • Maths tutor
3103 Views

Express 216 as a product of its prime factors.

Answer: 2 3 x 3 3 Start by breaking 216 down into easily managed factors, for example the easiest would probably be 2 and 108. From there you can break down the non-prime factors into smaller factors. For 10...
HM
Answered by Hidayah M. • Maths tutor
13309 Views