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Scottish Highers

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...

SN
Answered by Sean N. Maths tutor
1087 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 = 3x2 + 6x + 24=0 Note we can take out a factor of 3 x2+ 2x - 8=0 Fact...

MM
Answered by Michael M. Maths tutor
1405 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 t...

CS
Answered by Caitlin S. Biology tutor
1918 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 struct...

AF
Answered by Amir F. Biology tutor
1070 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(ax), f'(x) = a * cos (ax)and so with this we have, g(x) = 4 * sin(3x), g'(x) = 4 * 3...

RM
Answered by Romy M. Maths tutor
999 Views

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