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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 expansion ...
TD
Answered by Tutor41123 D. • Maths tutor
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Why was the bay of pigs incident such a major setback for the United States and for President Kennedy?

When Kennedy came into power in January 1961 he made a famous speech in which he said they would fight anyone to 'assure the survival and success of liberty'. By 1961 Fidel Castro was firmly on the side of t...
JL
Answered by Jasmine L. • History tutor
10485 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. After ...
PE
Answered by Pascal E. • History tutor
2597 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 uncer...
EO
Answered by Emily O. • Spanish tutor
3254 Views

How is a waterfall formed?

A waterfall is created due to the banding of rocks with varying hardness and softness. The harder rock (granite) is more resistant to erosion and so erodes at a different speed to the soft (sandstone). This ...
JL
Answered by Jasmine L. • Geography tutor
10294 Views