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A curve has equation y = x^2 - 7x. P is a point on the curve, and the tangent to the curve at P has gradient 1. Work out the coordinates of P.

The gradient of the tangent at P (=1) will be equal to the gradient of the curve at point P (=1). The gradient at a point on a curve is given by dy/dx (the differential). First, differentiate the equation...

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Sketch the graph of y= (x^2) -2x -3 labelling the turning points and points of intersection

The gradient of the curve equals the first derivative.dy/dx = 2x - 2At the turning point the gradient equals zero.2x -2 = 02x = 2 x= 1to find the y co-ordinate to this point substitute x = 1 into the orig...

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Answered by Lavana C. Maths tutor
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Order the following substances from highest to lowest boiling point stating hat type of bonds they have. Iron, Water, Sodium Chloride(5)

2 Mark for order 3 for correct bondIt is important to think about the bonds even if you are unsure about the order as you can still get 3 marks.Think about the bonds:Water, covalent bond (h2 <...

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Answered by Lavana C. Chemistry tutor
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PHYSICS A LEVEL Explain why, when a red giant becomes a white dwarf, it moves towards the lower left of the Hertzsprung-Russell diagram [2]

The fusing red giant shell drifts away form the core forming planetary nebula. Leaving only very hot core (white dwarf) (1) The core is hotter than the shell , the star moves left on ...

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Answered by Lavana C. Physics tutor
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1. At the end of a marathon sweat covered runners are given a shiny foil sheet to stop them cooling down too quickly. a) Suggest why the runner may cool down too quickly without the foil sheet (1) b.) Explain how the foil sheet reduces heat loss(2)

Note consider what type of heat loss is occurring1a) key word suggest Runner covered in sweat, when this evaporates it will reduce surface temperature (1)b) key word explain, remember...

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Answered by Lavana C. Physics tutor
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