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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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Find the an expression for dy/dx of the function y=(4x+1)ln(3x+1) and the gradient at the point x=1.

This question is example of product rule. To simplify need to define two terms u=4x+1 and v=ln(3x+1). Each term is then differentiated. du/dx=4. To differentiate v, need to define another term a=3x+1, theref...
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Answered by William S. • Maths 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 the diagram. (1) Luminos...
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Answered by Lavana C. • Physics tutor
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