The levels of difficulty vary from question to question. Don't judge about the questions too early! a

1.A Company has seven Chartered Accountants, six Engineers and three scientists. In how many ways can they form a committee if the committee must contain two members from each field.

2. Find the value of 'r' if

.

3. Differentiate with respect to x:

.

4. Differentiate with respect to x:

.

5. Differentiate with respect to x:

.

6. Differentiate with respect to x:

.

7. If

,
show that

.

8. If

,
show that

.