Binomial Expansion

1. (i) Calculate the coefficient of in the expansion of . [2]

(ii) Obtain the expansions of and in ascending powers of x. Hence or otherwise, find the coefficient of x, x² and x³ in the expansion of . [4]

2. (a)

(i) Find the first three terms in the expansion, in ascending powers of x, of . [2]

(ii) Hence find the value of p such that the coefficient of in the expansion of is . [3]

(b) Find the term independent of x in the expansion of . [3]

3. Write down and simplify the first four terms in the expansion, in

ascending powers of x, of . [2]

Use this expansion to

1. estimate the value of , correct to 3 decimal places, [2]

2. find the coefficient of in the expansion

. [2]

4. (a)

(i) Obtain the expansion, in ascending powers of x, of . [3]

(ii) Hence find the coefficient of in the expansion of [2]

(b) Find the term independent of x in the expansion of . [3]

5. (a) Find the term independent of x in the expansion of . [4]

2. Expand up to the term in x³. [ 4 ]

Solution to Binomial Exercises

Binomial Assignment

To all my A-Maths students,

Wishing all of you a Happy Chinese New Year!!

Your ang pow is attached. Pls submit by Monday, 11/2/2008.

Have a good holidays.

Any problems with probability?

Hi everyone, we have completed the topic on probability. I do hope that all of you are able to understand and cope with the topic.

Now, if you have any difficulty or queiries with the topic, do drop me with your comment. Remember to sign out with your name.

Thanks.

Post Lesson Task on Angle of Elevation

Hi eveyone,

After learning about angle of elevation, you are now given an assignment to:

- Create a question that make use of the principle of angle of elevation through the use of clinometer.

Limit your question to a maximum of 70 words. Deadline by Monday, 20th August 2007. This assignment will be graded.

Good luck.

Miss Yong

Trigonometry Assignment for 302

In Trigonometry, you have learnt about SINE Rule. In using SINE rule to solve some problems, there is a situation in which the solution becomes AMBIGUOUS.

Task:
1. When does a problem becomes AMBIGUOUS when you apply SINE rule?
2. Craft a question with its solution demonstrating AMBIGUOUS case when you apply SINE rule.

Total marks: 10
Due date: Friday, 3rd August 2007

PS: No copying of example given in textbook.

Solution to Find the Mistakes

After reading all your entries, I do realise that many of you have difficulty with completing the square method. I will re-explain the concept to you again in class one of these days.

The mistakes in the example given is not solely due to the completing square method. There are some mistakes committed due to incorrect algebraic manipulation.

Hint: To know where are the mistakes, TRY to do the algebraic manipulation steps by yourself.