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Solve the equation d/dx((x^3 + 3x^2)ln(x)) = 2x^2 + 5x, leaving your answer as an exact value of x. [6 marks]

This may look complicated at first but it can be broken down into a number of simple steps...

For the left side of the equation, the d/dx tells you we are differentiating and since (x

RH
Answered by Robbie H. Maths tutor
7723 Views

The average temperature in May is 18 ºC. The average temperature in November is a third of the average temperature in May. The average temperature in September is twice the average temperature in November. What is the average temperature in September?

This question has multiple stages to go through, so firstly we see what they are looking for you to have found by the end of the question, which is the average temperature in September. Looking at the ...

HM
Answered by Hannah M. Maths tutor
4599 Views

How do you rationalise the denominator?

Defintions

Rationalising the denominator means rewriting a fraction so that the bottom only contains rational numbers.

Remember: A rational number is one that can be ...

JO
Answered by John O. Maths tutor
6228 Views

Find the point of intersection between two lines y=2x+4 and 2y+3x=1:

Initially drawing a diagram of the two lines helps to establish whether values should be positive or negative and gives a rough approximation of where the answer may be:

By...

MW
Answered by Michael W. Maths tutor
5413 Views

Solve the simultaneous equations: 3x+5y=3 and 6x+6y=10

(1): 3x+5y=3

(2): 6x+6y=10

Multiply number one by two to give a common factor of 6x in both equations.

(3)=[2*(1)]- 6x+10y=6

Take away equation (...

EO
Answered by Ethan O. Maths tutor
4356 Views

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