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What is the coefficient of x^4 in the expansion of (x+3)^7

Start by expanding (a+b)7, using Pascal's Triangle or the binomial coefficient function to work out the coefficients:a7 + 7a6b + 21a5b2 + 35a4

JW
Answered by Josef W. Maths tutor
8280 Views

Integrate 1/(1 - 3*x) with respect to x

First substitute: u = 1 - 3xNext calculate: du/dx = -3 .... therefore dx = (-1/3) * duNow re-arrange the expression: Integrate 1/u * ( -1/3)*duNext recall the integral of 1/x is the natural logarithm, and...

NM
Answered by Neil M. Maths tutor
3346 Views

Outline the advantages and disadvantages of one named hard engineering river flood management strategy. (6 marks)

Named flood management strategy: DamsDams are the classic hard engineering solution to flooding problems. A dam is a giant wall built across a river’s channel to impede its flow. Water builds up behind th...

SW
5395 Views

How do you analyse a poem?

Writing a good, coherent poem analysis is often seen as very hard, but once you understand and have good knowledge of all the parts that make up a poem, you will see how smooth and enjoyable this process ...

AR
Answered by Anna R. English tutor
1715 Views

Can you explain the properties of a giant covalent lattice?

It is really important to note here that there are no intermolecular force of attraction between the molecules, compared to simple covalent molecules. There are only strong covalent bonds which means that...

NM
Answered by Nishi M. Chemistry tutor
3530 Views

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