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The line l is a tangent to the circle x^2 + y^2 = 40 at the point A. A is the point (2,6). The line l crosses the x-axis at the point P. Work out the area of the triangle OAP.

Firstly to work out the area of the triangle OAP we need to know the coordinates of the individual points O, A and P. O is the centre of the axis hence has coordinates (0,0). The coordinates of the point ...

MQ
Answered by Mohammad Q. Maths tutor
6859 Views

Solve the simultaneous equations: 2x-y=x+4; x^2+4y^2=37

taking equation 1 and solving for x: 2x-y=x+4 x-y=4 x=y+4 Sub our new equation into equation 2 from the question: (y+4)2 +4y2=37 Expand and simplify: y2 +8y+16+4y2

AW
Answered by Alexander W. Maths tutor
5404 Views

A line passes through coordinates (-2,4) and (8,9). Does the point with coordinates (32,55) fall on this line?

To work out if a given point with coordinates (X,Y) falls on a line you must work out the equation for the line. All straight lines follow the formula: y=mx+c with 'y' being the Y coordinate, 'x' being th...

NS
Answered by Nicholas S. Maths tutor
7225 Views

integrate with respect to x the function f(x)= xln(x)

Use integration by parts

let u=ln(x)

let dv/dx=x

therefore du/dx=1/x and v=(1/2)x^2

therefore the integral of xln(x) is equal to the following:

(1/2)x^2ln(x) - (integral...

PJ
Answered by Priya J. Maths tutor
2962 Views

Find x: 4x + 7 = 27

4x + 7 = 27 4x = 20 x = 5

SP
Answered by Saskia P. Maths tutor
3644 Views

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