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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...

ST
2265 Views

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...

ER
Answered by Eleanor R. English tutor
2309 Views

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...

LC
Answered by Lavana C. Maths tutor
5886 Views

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 <...

LC
Answered by Lavana C. Chemistry tutor
2681 Views

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 w...

LC
Answered by Lavana C. Maths tutor
2042 Views

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