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

Cultivating Champions, Moulding Success

Subject code 9740.

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…

Another interesting vectors question.

The fixed point has position vector **a** relative to a fixed point . A variable point has position vector **r** relative to . Find the locus of if **r** (**r** – **a**) = 0.

This is a question a student sent me a few days back, and I shared with my class.

Find the Cartesian equation of the locus of all points (plane) that is equidistant of the plane and plane.

The following should aid students to visualise.

Sidenote: I think Vectors is a very important topic for 9758 as its applications are wide. Students should do their best to understand the topic. I will share a few more applied questions next week when I have time.

When , it implies we have a stationary point.

To determine the nature of the stationary point, we can do either the first derivative test **or** the second derivative.

The first derivative test:

Students should write the actual values of and in the table.

We use this under these two situations:

1. is difficult to solve for, that is, is tough to be differentiated

2.

The second derivative test:

Other things students should take note is concavity and drawing of the derivative graph.

If , where , and are all non-zero vectors, show that bisects the angle between and .

Chemistry, JC Chemistry, JC General Paper, JC Mathematics, JC Physics, Mathematics, Studying Tips, University Mathematics

Let’s face it. Some of us will not get the dream results we want. Don’t give up and let fear conquer you.

For students unsure of the available courses, they can check out the following post. It contains the grade profile for local universities.

Our Team will be here if you need help/ advice. Feel free to text us.

P.S. Today, I saw an image shared by Mr Wee, which said that “You’re the architect of your own life”. So let’s not let the grades define us.

It has been awhile since the A’levels. We talked and met up with several of our students. Some students are working and some are preparing their Personal Statements for overseas University Applications.

A few of them also remarked that they wish they put more efforts into studying A’levels. An advice to this year JC2 – Do not wait till it is too late.

Students should also have a **clear **understanding of their syllabus, especially their scheme of exam. I still have JC2s this year who get stunned by the applications questions I threw at them (P.S. Aside from spending time with family, I wrote many sets of applied questions.). You may read more about your syllabus here. Or see the following images.

How much practice or emphasis your school put on this, is up to them. But it is clear that application takes up 25% of your marks. The entire syllabus can be found here.

PLEASE DON’T WALK INTO THE EXAM HALL BLUR BLUR…

For students who took A’levels in 2016, please note that information for the release of A’levels Results 2016 can be found in the following!

Grade Profile (i.e. Number of As you need to get into courses for)

P.S. Results does not define you. When one door closes, another opens.