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How do you solve integrals which are the result of a chain rule e.g. the integral of sin(2x+1)

∫sin(2x + 1)dx[newline]In this case the easiest way to solve the integral is to perform a substitution. The substitution should reduce the integral to something you can solve. In this case we will[newline]le...
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Answered by Sean N. • Maths tutor
1708 Views

Find the stationery points of x^3 + 3x^2 - 24x + 7 and determine whether the slope is increasing or decreasing at x=3.

i) We must differentiate the equation and set it equal to 0 to find stationery points: dy/dx = 3x 2 + 6x + 24=0 Note we can take out a factor of 3 x 2 + 2x - 8=0 Factorise (x-2)(x+4)=0 State x values x=2 or ...
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Answered by Michael M. • Maths tutor
1936 Views

How does competitive inhibition slow the rate of a reaction and how can its effect be reversed.

Competitive inhibitors act to slow the rate of a reaction by actively competing with the substrate at the active site of the molecule it wishes to bind to. If this active site contains an inhibitor then the ...
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Answered by Caitlin S. • Biology tutor
2892 Views

Describe the structures of DNA and RNA.

DNA (deoxyribose nucleic acid) is made of up two strands of nucleotides that are twisted together to make a double helix (twisted structure). Each nucleotide consists of nitrogenous bases and a backbone of d...
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Answered by Amir F. • Biology tutor
1510 Views

Given g(x) = 4* sin (3*x), find the value of g'(pi/3).

Using the table of standard derivatives given at the beginning of the Higher Paper we have, for f(x) = sin(a x), f'(x) = a * cos (a x)and so with this we have, g(x) = 4 * sin(3 x), g'(x) = 4 * 3 * cos(3 x) =...
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Answered by Romy M. • Maths tutor
1364 Views