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Integrate (3x^2-x^3)dx

With integration like this, you can look at each appearance of x individually. Firstly there is a rule to follow that is the power of X in each case increases by 1 and then that increase power divides the ca...
JT
Answered by Josh T. • Maths tutor
9698 Views

x = t^3 + t, y = t^2 +1, find dy/dx

dy/dx = dy/dt x dt/dx x = t 3 + t dx/dt = 3t 2 +1 y = t 2 +1 dy/dt = 2t dy/dx = 2t x (1 / (3t 2 +1) ) = 2t / (3t 2 + 1)
SK
Answered by Sukhwinder K. • Maths tutor
6501 Views

Solve 7x - 14 = 4x + 7

Like all equations, you're going to start off by getting all the x's on the same side of the = side and all the rest on the other side. So we start off with 7x-14=4x+7. Moving the x's to one side means that ...
DF
Answered by Daan F. • Maths tutor
9339 Views

Find the value of 4a + 3b when a=2 and b=5

This question is asking us to place a number in the place of their corresponding letter, so as the letter a is attached to the number two, whenever we see the letter a in the equation we would replace it wit...
RM
Answered by Roisin M. • Maths tutor
15665 Views

Express 5cosx - 3sinx in the form Rcos(x+a).

cos(x+a)=cosxcosa-sinxsina so cosa=5 sina=3 which means tana=3/5 a=0.54 RADIANS R=sqrt(5 2 +3 2 ). =sqrt(34) so sqrt(34)cos(x+0.54)
EH
Answered by Elizabeth H. • Maths tutor
16512 Views