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Find an equation for the straight line connecting point A (7,4) and point B(2,0)

In this question we will use the fact we know a straight line can be written in the form (y-y 1 )=m(x-x 1 ). Where m is the gradient and (x 1 ,y 1 ) is a point on the line. We already have a point A so can s...
HM
Answered by Hannah M. • Maths tutor
4870 Views

What are the uses of derivatives in algebra?

Derivatives can be used to work out rates of change of non-linear systems which are encountered everyday. Moreover derivatives allow us to describe the shape of a function.
AM
Answered by Amdadullah M. • Maths tutor
3582 Views

Where does the circle equation come from?

equation of a circle: (x - a)^2 + (y - b)^2 = r^2, where the circle has centre (a, b) and radius r. Let's draw the diagram, where (x, y) is some point on the circle, which for ease we'll call P, and (a, b) i...
AB
Answered by Ashwin B. • Maths tutor
4597 Views

How would I find the indefinite integral of x*cos(x) dx

Use integration by parts, by setting u=x and cos(x)=dv/dx. The final result should be xsinx + cosx + c.
ES
Answered by Ed S. • Maths tutor
4935 Views

integrate (4cos^4 x -4cos^2x+1)^1/2

we must integrate (4cos 4 x-4cos 2 x+1) 1/2 factorise first ((2cos 2 x-1) 2 ) 1/2 this becomes (2cos 2 x-1)which equals cos 2xthe integral of cos 2x is1/2 sin 2x + C
DW
Answered by Dominic W. • Maths tutor
3981 Views