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Differentiate y = x^2 - 2x-3 + e^3x + 2ln(x)

The above function has several components with different rules on how to differentiate each of them. For each:(1) y = x 2 dy/dx = 2x This follows the general rule of differentiating polynomials: y = x n , dy...
JH
Answered by Jim H. • Maths tutor
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Describe the process of DNA replication.

The method in which DNA replicates is called semi-conservative replication. Firstly, DNA helicase catalyses the break down of the hydrogen bonds between the base pairs in the DNA molecule. This partially unw...
LG
Answered by Lily G. • Biology tutor
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Briefly outline and evaluate normative social influence as an explanation for conformity. [4 marks]

Normative social influence (NSI) can be described as a desire to be accepted and/or liked by a group, which can lead a person to conform as this may be deemed as necessary to fit in with the group so that th...
TD
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A curve is defined by the parametric equations x = 2t and y = 4t^2 + t. Find the gradient of the curve when t = 4

the gradient of the curve = dy/dx and dy/dx = (dy/dt)(dt/dx) dy/dt = 8t + 1 dx/dt = 2 therefore dt/dx = 1/2 dy/dx as above = (8t + 1) * 1/2 = (8t + 1)/2 where t = 4, dy/dx = (8*4 + 1)/2 = (32 + 1)/2 = 33/2
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Answered by Angus B. • Maths tutor
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Give an advantage of hard water.

Hard water tastes better.
AB
Answered by Angus B. • Chemistry tutor
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