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A curve has equation y = (x-1)e^(-3x). The curve has a stationary point M. Show that the x-coordinate of M is 4/3.

(In the following answer, y' denotes dy/dx, i.e. the derivative of y with respect to x, where y is a function of

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How do I find the reultant force acting on an object sitting on a slope?

Firstly, you should consider what forces are acting on the object and in what direction. It helps to draw a large diagram to label. In most questions, the forces should be told to you. It helps to keep in...

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Factorise 2x^2 - 7x -4

2 x -4 = -8 -8 x 1 = -8 (2x^2-8x)+(x-4) 2x(x-4) + 1(x-4) (2x+1)(x-4)

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A right-angle triangle has a hypotenuse of 8cm and an angle of 30 degrees. What is the opposite's length?

sinx = o/h sinx x h =o sin30 x 8 = 4cm The opposite is 4cm

Answered by Nicola M. • Maths tutor

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Solve the simultaneous equations 5x+2y=13 and x-2y=5.

5x+2y=13 + x-2y = 5 6x =18Firstly you need to either add or subtract one equation from the other. The way to decide this is to either focus on the x's or the y's. The trick to solving these simult...

Answered by Amy J. • Maths tutor

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