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How is energy produced in the light dependent reaction of photosynthesis?

First things first, we need to be aware of where the light dependent reaction takes place in the plant cells. It happens in the chloroplasts and specifically in the thylakoid membranes of the chloroplasts. A...
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Given that x = 4sin(2y + 6), Find dy/dx in terms of x

x = 4sin(2y + 6)dx/dy = 4(2)cos(2y + 6)dx/dy = 8cos(2y + 6) ==> dy/dx = 1/8cos(2y + 6)sin 2 (2y + 6) + cos 2 (2y + 6) = 1cos(2y + 6) = √(1 - sin 2 (2y + 6))cos(2y + 6) = √(1 - x 2 /16)Hence, our final ans...
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Find the area under the curve y=xexp(-x)

first recognise ‘area under’ = integrationfunction is a product so by partsset x=u; exp(-x)=dv/dx integral(udv/dx)=uv-integral(vdu/dx) du/dx =1; v=-exp(-x)ans=(x.-exp(-x))-integral(1.exp(-x)dx)ans=-xexp(-x)+...
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Using z=cos(θ)+isin(θ), find expressions for z^n-1/z^n and z^n+1/z^n

We make use of De Moivre's Theorem which states that (cos( θ)+isin(θ))^n=cos(nθ)+isin(nθ). z^n-1/z^n=cos(nθ)+ isin(nθ)-cos(-nθ)- isin(-nθ)=cos(nθ)+ isin(nθ)-cos(nθ)+ isin(nθ) (by trig relationships)=2isin(nθ...
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Explain 2 Advantages of Using Die Casting over Sand casting for the manufacturing of a Metal Engine Block.

Options: (1 mark for 1 Advantage, 1 mark for 1 Explanation)Die casting has a better surface finish (1 mark). This Allows for a reduction of additional processes needed to finish the product which can make th...
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