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Differentiate (2a+3)^5/2 with respect to a

Let u=2a+3, therefore du/da=2. Let y=u^5/2, therefore dy/du=5/2(u)^3/2 Hence dy/da=du/da*dy/du=2(5/2)*u^3/2=5u^3/2
GT
Answered by George T. Maths tutor
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A pizza has a radius of 12cm. Calculate the area of the pizza in cm² , giving your answer as a multiple of π.

So for this question you would need to know the formula for the area of a circle. This is Area = πr^2. In this formula, r = the radius. We are given the radius in the question. So all we need to do is put ou...
JH
Answered by Jess H. Maths tutor
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how do i approach more complex algebra questions?

With algebra there are 2 rules to abide to which will always see you through! Always do the same to both sides. Always do the opposite. In order to come to the correct answer you need to work backwards to is...
JD
Answered by Joanna D. Maths tutor
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simplify 4p^3 x 3p^4

12p^7 multiply the 3 by the 4. Laws of Indices states when multiplying indices the answer is the addition of the indices. therefore - p^3 x p^4 = p^7
JS
Answered by Jack S. Maths tutor
9185 Views

Solve the simultaneous equations: y=3x+2, x^2+y^2=20

y=3x+2 x^2+y^2=20 x^2+(3x+2)^2=20 x^2+(3x+2)(3x+2)=20 x^2+(9x^2+6x+6x+4)=20 x^2+(9x^2+12x+4)=20 10x^2+12x+4=20 10x^2+12x-16=0 5x^2+6x-8=0 (5x-4)(x+2)=0 5x-4=0, x+2=0 x=4/5=0.8, x=-2 y=3x+2, y=3x+2 y=3(0.8)+2...
DC
Answered by Daniela C. Maths tutor
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