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x = 4sin(2y + 6)dx/dy = 4(2)cos(2y + 6)dx/dy = 8cos(2y + 6) ==> dy/dx = 1/8cos(2y + 6)sin²(2y + 6) + cos²(2y + 6) = 1cos(2y + 6) = √(1 - sin²(2y + 6))cos(2y + 6) = √(1 ...

To begin with, we will need to make a loop which iterates (loops) 10 times, which we can use the for statement for:for value in range (1,101): // do something - this is a comment Note, here we use the ran...

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=-x...

In a computer system, RAM is used to temporarily hold programs & data while they are required by the CPU. Storing them in RAM, due to its rapid access times and close proximity to the CPU, means its c...

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 relat...