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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 of...
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How do I make sure that each paragraph in my essay answers the question?

Under the timed pressure of an exam it can be tempting to launch straight into writing an answer to a question without taking time to analyse what is being asked and planning to ensure that each point you ma...
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Answered by Eleanor R. • English tutor
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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 origina...
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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 (h 2 o) this is wea...
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Answered by Lavana C. • Chemistry tutor
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Multiple choice. If the sequence is 9, 16, 25, 36, 49 choose the correct expression. A. n^2 B. (3n)^2 C. (n+2)^2

Fist draw a table of the sequence with each number's corresponding n value.1 2 3 4 5 9 16 25 36 49Now draw a table for each option and see if it matches, it is important to remember to carry out the sum with...
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Answered by Lavana C. • Maths tutor
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