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A curve is defined for x > 0. The gradient of the curve at the point (x,y) is given by dy/dx = x^(3/2)-2x. Show that this curve has a minimum point and find it.

This is a typical exam style question, taken from an AQA paper. This question is testing your knowledge of stationary points and differentiation. Step 1: Find all stationary points by setting the first deriv...
YC
Answered by Yishuang C. Maths tutor
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Solve 10x - 7 > 13x +2

x < -3
NM
Answered by Nikhil M. Maths tutor
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Name 3 differences between a plant cell and an animal cell.

A plant cell contains the following which an animal cell does not :ChloroplastsPermanent vacuole filled with sapCellulose cell wall Animal and plant cells both contain (so cannot be any of the following):Nuc...
KG
Answered by Kieran G. Biology tutor
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Simplify: y+y-x×x

y+y=2y x×x=x 2 therefore, y+y-x×x=2y-x 2
KG
Answered by Kieran G. Maths tutor
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Why is Fluorine in the group 7 of the periodic table? Which element, Fluorine or Chlorine, has a higher electronegativity? Explain your answer.

Group 7 of the periodic table contains all the elements known as halogens. They all have 7 valence electrons (hence group 7!) in their outer shell (insert diagram or prop to show what the outer shell signifi...
CS
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