Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,234

Question Bank : Age Group 16-17 : VI

1. Using Rolle's theorem, find the value of c for

.

2. Obtain the Maclaurin's series for e[sup]x[/sup].

3. Evaluate:-

.

5. If x = cos t, y = sin t and

, find

.

6. Evaluate:-

.

7. Solve:

.

8. In a Poisson distribution, if P(X=2) = P(X=3) find P(X=5).
(Given e[sup]-3[/sup] = 0.050).

9. Find the mean and variance for the probability density function

otherwise.

10. Simplify:-

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.