Given that , find the approximate percentage change in when increases from 2 by 2%.

Cultivating Champions, Moulding Success

A gambler bets on one of the integers from 1 to 6. Three fair dice are then rolled. If the gambler’s number appears times (), he wins $ . If his number fails to appear, he loses $1. Calculate the gambler’s expected winnings

B6

let

Sub to

Thus, it is a min point.

C7

let

(NA).

There are no stationary points for this curve.

C8

Let

Evaluate with a calculator…

You can find the solutions of all ten sets of the June Revision Exercise we did in class.

Have fun!

June Revision Exercise 1

June Revision Exercise 2

June Revision Exercise 3

June Revision Exercise 4

June Revision Exercise 5

June Revision Exercise 6

June Revision Exercise 7

June Revision Exercise 8

June Revision Exercise 9

June Revision Exercise 10

Here is a compilation of all the APGP, Sequence & Series articles KS has done. Students should read them when they are free to improve their mathematics skills. They will come in handy! 🙂

1. Will it ever converge?

2. Intuition of Mathematical Induction

3. Things you might want to know when making a conjecture

Here is a compilation of all the Statistics articles KS has done. Students should read them when they are free to improve their mathematics skills. They will come in handy! 🙂

1. What does unbiased in Math mean?

2. What is r-value?

3. Why is the r-value independent of translation and scaling? #1

4. Why is the r-value independent of translation and scaling? #2

5. Why can’t we extrapolate regression lines?

6. What is a regression line?

7. Simulation for Hypothesis Testing

8. Type I vs Type II Errors

9. A little about Central Limit Theorem

10. What is a good estimate?

11. Using symmetrical properties of Normal Curve to solve questions

12. Bayesian vs Frequentist Statistics

Here is a compilation of all the Complex Numbers articles KS has done. Students should read them when they are free to improve their mathematics skills. They will come in handy! 🙂

1. Scary Complex Numbers

2. Cool trick to solve questions in polar form.

3. Brute forcing simultaneous equations involving Complex Numbers

4. Deriving the polar form for complex number

5. Euler’s Identity

Here is a compilation of all the Integration articles KS has done. Students should read them when they are free to improve their mathematics skills. They will come in handy! 🙂

1. Integrating Trigonometric Functions (1)

2. Integrating Trigonometric Functions (2)

3. Integrating Trigonometric Functions (3)

4. Integrating Trigonometric Functions (4)

5. Integrating Trigonometric Functions (5)

6. Leibniz’s Formula for

7. Simpson’s Rule

8. Evaluating Integrals with Modulus

Here is a compilation of all the Vectors articles KS has done. Students should read them when they are free to improve their mathematics skills. They will come in handy! 🙂

1. To Draw or Not to Draw?

2. Cross vs. Dot Product

3. Finding area of quadrilateral in vectors

Here is a compilation of all the Combinatorics articles KS has done. Students should read them when they are free to improve their mathematics skills. They will come in handy! 🙂