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Given that y = cos(3x)cosec(5x), use the product rule to find dy/dx.

Write out the product rule: if y=f(x)g(x) where f and g are functions, dy/dx = f'(x)g(x) + f(x)g'(x) Substitute in the expressions from the question:Therefore if f(x)=cos(3x) and g(x) = cosec(5x), f'(x) = -3...
HL
Answered by Harry L. • Maths tutor
4171 Views

How do you expand and simplify (x − 6)(x + 2y)^2

start of by expanding the braquet which has got a power(x + 2y) (x + 2y) = X 2 + 2xy + 2xy + 4Y 2 then simplify that => x 2 + 4xy + 4y 2 then multiply that by (x - 6) (x - 6) (x 2 + 4xy + 4y 2 ) = x 3 + 4...
AO
Answered by Antoine O. • Maths tutor
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How do you find the equation of a tangent to a curve at a certain point, from the equation of the curve?

First thing you would do is write down the coordinates where the tangent meets the curve. After that you would differenciate the equation (f(x)) of the curve (do dy/dx) in order to get f'(x).Then you would s...
AO
Answered by Antoine O. • Maths tutor
4225 Views

John wants to separate a rectangular part of his garden for his puppy. He has material for a 100-meter long fence and he plans to use one side of his house as a barrier. How should John select the sizes of his fence in order to gain the biggest territory?

We can denote the sides of the rectangle with a and b. As one side of the separated area is going to be the wall of the house, we do not have to use a fence there. Therefore, we will have two sides, one deno...
SG
Answered by Soma G. • Maths tutor
3484 Views

Describe the stages of transcription

Transcription begins with DNA helicase unwinding the DNA into two seperate strands.As the DNA unwinds, RNA nucleotides form hydrogen bonds with their complementary base pairs. Uracil binds to adenine, and gu...
EA
Answered by Edward A. • Biology tutor
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