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A straight line passes trough the points A(-4;7); B(6;-5); C(8;t). Use an algebraic method to work out the value of t.

We can write the equation of a straight line like y=ax+b, where a and b are constants. If a point is on the line, the equation will be true for the x,y of the point.Now start with point A: 7 = (-4)a + b. Res...
MF
7953 Views

How would you use the Integration Factor method to solve an ordinary first-order linear differential equation?

The word "ordinary" means that there are only two variables, "first-order" means that the highest derivative is the first derivative and "linear" means that the highest power of...
KC
3190 Views

Sketch the curve y= ((3x+2)(x-3))/((x-2)(x+1)) and find values of y for which y>=3

Will have asymptotes at x=2 and x=-1, goes from negative to positive going from -1 to 2 and tends to 3 from below for positive x and tends to 3 from above for negative x. Crosses y axis at 3
HB
3074 Views

Calculate: ( 2+i√(5) )( √(5)-i).

[Brief intro to question] This is a typical example of A-Levels Further maths exam question. The aim of it is to obtain a single number (it can be both - either just real with no imaginary values i or comple...
RS
4355 Views

What are Taylor series used for?

If you wanted to program a function into a computer, it knows how to calculate polynomials but not any function that you put into it. For example, it won't know what to calculate for sin(x), but it would kno...
TS
3349 Views