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Differentiate y=(4x^2-1)^3
When differentiating a composite function y = (4x 2 -1) 3 , the chain rule needs to be used. The chain rule is dy/dx= dy/du x du/dx In this instance we need to assign u and y in order to differentiate and ge...
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A stationary ball starts rolling down a hill, and after 5s it reaches a speed of 12m/s. From here the ground levels off, and the ball continues at this speed for 3 more seconds. Plot this on a velocity-time diagram.
First we need to draw a velocity-time diagram, which has time on the x-axis, or bottom, and velocity on the y-axis, or left.The ball begins from a stop, so we can draw a dot at (0,0). It accelerates until it...
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Sean M.
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How would you work out how much money each Fred and Julie get if they share £60 in a 5:7 ratio?
If Fred and Julie share £60 in a 5:7 ratio, Fred will get 5/12ths of the money and Julie will get 7/12ths of the money. All together there will be 12 parts of the money because 5 + 7 = 12So, you need to divi...
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Tiegan S.
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Expand and simplify: (2x – 3y)(5x + 2y)
10x^2+4xy-15xy-6y^210x^2-11xy-6y^2
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Khansa I.
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Work out 3 3/4 x 2 6/7 giving your answer as a mixed number in its simplest form.
change mixed numbers into improper fractions 3 3/4 = 12/4 + 3/4 = 15/4 4 6/7 = 14/7 + 6/7 = 20/7 2) multiply improper fractions(15 x 20) / (4x7) = (300) / (28) 3) simplify 75/7 4) convert into mixed number10...
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Vincent H.
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Maths tutor
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