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f(x) = 3x - 2a || g(x) = 2ax + 1 || fg(x) = 2x + b/2

fg(x) = 3(2ax +1) - 2a = 6ax + 3 - 2a6ax + 3 -2a = 2x + b/26a = 2 -> a = 1/33 - 2a = b/2 -> if a = 1/3 then: 3 - 2(1/3) = 9/3 - 2/3 = 7/3 7/3 * 2 = b = 14/3
EB
Answered by Elliott B. • Maths tutor
3523 Views

Factorise 6x^2 + 7x - 3=0

In order to solve the equation, we need to find a way to break the '7x' term in the middle that allows factorisation. We also need to consider the fact that the last term '-3x' has a minus sign. This broaden...
SM
Answered by Silvia M. • Maths tutor
8815 Views

Solve the differential equation (1 + x^2)dy/dx = x tan(y)

Firstly rearrange the equation so that only dy/dx is on the left hand side dy/dx = (x/(1+x^2)) tan(y) Now separate the variables such that the x terms are on one side with the dx, and the y terms are on the ...
CG
Answered by Christian G. • Maths tutor
6832 Views

168 is 4/7 of a number. What is the number?

If 168 is four sevenths of a number then divide this by 4 to give 1 seventh of the number. 168/4 = 42 So 42 is one seventh of the number. Now multiply this by 7 to find the number. 42*7 = 294
WL
Answered by William L. • Maths tutor
5937 Views

Find the stationary point of the curve y=3x^2-2x+2 and state the nature of this stationary point.

The stationary point is a minimum point. I will run through the working out for the question using the whiteboard in the session as it is difficult to demonstrate without relevant formatting.
WL
Answered by William L. • Maths tutor
3978 Views