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Solve the simultaneous equations algebraically

x 2 +y 2 =25 and y-3x=13Step 1 is to label the equations (1) and (2). We shall label the first equation, the quadratic, as equation (1) and the second equation, the linear, as equation (2). When solving a si...
AE
Answered by Andrew E. • Maths tutor
5087 Views

You are given the equation y=x^2. Determine whether or not the equation has any maximums or minimums and identify them (whether they are maximums or minimums).

The question has given us a function and wants us to determine whether or not any maximums/minimums exist (and if so identify then). We know maximums/minimums occur when the derivative of the equation is equ...
LM
Answered by Lana M. • Maths tutor
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Given that sin(x) + cos(x) = 2/3, find cos(4x)

It is not clear what to do when starting, but we realise that by making both sides to the power of two, will lead to have an expression containing sin^2(x) + cos^2(x), which is equal to one (which will proba...
FR
Answered by Felipe R. • Maths tutor
4813 Views

Find the area enclosed between the curves y = f(x) and y = g(x)

Don't forget, in order to find the area under a curve y=f(x) between two values x=a and x=b we integrate f(x) between a and b.Thus to find the area enclosed between two curves y=f(x) and y=g(x) we simply nee...
MG
Answered by Matthew G. • Maths tutor
6221 Views

Solve the two simultaneous equations X2 +2Y2= 18 and X - Y = 3

1) X 2 +2Y 2 = 182) X - Y = 3 Rearrange 2) in the form X=3-Y then substitute in to 1); (3-y) 2 +2Y 2 =18, this is your new equation 39+3Y+3Y+Y 2 +2Y 2 =183) 9+6y+3Y 2 = 18Divide equation 3) by 33 +2Y+Y 2 =6S...
RC
Answered by Rebecca C. • Maths tutor
4885 Views