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The expansion of (1+x)^4 is 1 + 4x +nx^2 + 4x^3 + x^4. Find the value of n. Hence Find the integral of (1+√y)^4 between the values 1 and 0 (one top, zero bottom).

Using Binomial expansion or Pascal's triangle, expand (1+x)^4 to get 1+4x+6x^2+4x^3+x^4. Then, by substituting √y for x, get 1 + 4y^1/2 + 6y +4y^3/2 +y^2. Then, using the rules of integration, the expansi...

TD
Answered by Tutor41123 D. Maths tutor
6753 Views

How can I improve my essays in order to get the top band of marks, my feedback says need more analysis and explanation?

In order to move to the top band of marks, it is important to not just describe and explain, but to give your own point of view on the issue. Giving your judgement is the key to getting the top marks. Aft...

PE
Answered by Pascal E. History tutor
2380 Views

When should we use the subjunctive tense in Spanish?

In English, less and less people use the subjunctive, so it can be hard for us to recognise when it is needed in Spanish. However, we can generally follow this rule: when there is any level of doubt or un...

EO
Answered by Emily O. Spanish tutor
3062 Views

How do enzyme controlled reactions work?

Firstly, an enzyme is a specific protein with a unique shape. The main aim of an enzyme is to CATALYSE a reaction. This means, the reaction is sped up, but the concentrations of reactants or products are ...

VS
Answered by Vedia S. Biology tutor
12261 Views

What are the four italian interrogative pronouns?

The four italian interrogative pronouns are:

  • Chi (who), it's invariable and refers only to people,singular or plural.
  • Che cosa (what) still invariable and refers just to things or co...
NJ
Answered by Natalie J. Italian tutor
7978 Views

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