A-Level Biology Tuition Singapore/H2/H1 Biology Tuition/JC Biology Tutor
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A-Level Physics Tuition Singapore / A-Level Physics Tutors Singapore
Hi All H2 Physics Students
Please take note that Quantum Physics Concise Notes is ready for collection.
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From A-Level Physics Tutor Singapore
A-Level Tuition Singapore/GP Tuition/General Paper Tutor
Please post your A-Level GP/General Paper questions here
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O-Level Additional Mathematics Tuition Singapore
Not so clear in your first question, call me when you are free
Q2) No choice use trial and error but y has to a even number and x can be from 1 to o
O-Level Additional Mathenatics Tutor
O Level Additional Mathematics Tuition Singapore
Will show u in the coming lesson
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A-Level Mathematics Tuition Singapore/JC Maths/H2 Math Tuition and Tutor
Treat z and w as a variable,
From eqn (1) make z = (1-2w)/i
Sub this into the second eqn.
let w = x+iy and conj w = x-iy
Solve the eqn as usual
From JC Maths Tutor
A-Level Economics Tuition Singapore/H2/H1 Economics Tuition
Hi Jeremy
The owner of stock shares of a business is a part owner of that business. The value of the stock can increase or decrease depending on the success or failure of the business, and a share of profits may be distributed to the shareholders.
A bond is an interest-bearing certificate sold by businesses and governments to raise money. The buyer of the bond can collect interest payments or sell the bond to someone else. The value of a bond depends partially on the success of the business that issued it.
From A-Level Economics Tutor Singapore
A-Level/JC Mathematics Tuition Singapore by JC Maths Tutor
Hi Jeremy,
If possible please post the question.
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A-Level H1 JC2 Physics Tuition Singapore/JC2 H1 Physics Tuition
Hi all JC2 H1 Physics Tuition Singapore/A-Level H1 Physics students
Please be inform that JC2 H1 Physics lesson will commence on 17 Feb Friday from 7pm to 9pm
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From A-level Physics Tutor
O level Physics Tuition Singapopre/Physics Tuiton/Physics Tutor
1 beaker, 2 test tube, 3 boiling tube ,4 crucible, 5 evaporating dish, 6 filter funnel,7 measuring cylinder , 8 pipette – specific volume 25.0 ,9 gas jar, 10 bell jar, 11 wire gauge,12 tripod ,13 retort stand,14 conical flask,15 round-bottomed flask , 16 flat-bottomed flask, 17 water trough, 18 cuvette
O Level Chemistry Tuition Singapore/Chemistry O Level Tuition/Tutor
Please use the resources O Level Chemistry Tuition.
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A-Level Mathematics Tuition Singapore/H2 Mathematics Tuition/JC Mathematics Tuition/Mathematics Tutor
Probability : Learning outcomes
1. P(A) = (number of successes)/(number of trial)
= p
= probability of success
2. P(A or B or both)
= P(A u B)
= P(A)+P(B)-P(A n B)
3. Conditional Probability of A occuring given B has occured
= P(A/B)
= P(A n B)/P(B)
4. Two events A and B are mutually exclusive if they cannot occur simultaneously. ie P(A n B) = 0
P(A u B) = P(A) + P(B)
5. An event A is said to be independent of an event B if the progability that A occur is not affected by the occurrance of B.
P(A n B) = P(A) x P(B)
P(A/B) = P(A)
P(B/A) = P(B)
Note that point (4) and (5) are tests to check if the 2 events A and B ae mutually exclusive or independent respectively.
6. Problem Solving Techiaues in Probability
A. Sample Space Diagrams or Tables
Commonly used when the sample space is finite and all outcomes can be listed out easily. This techniques is useful for questions involving outcomes of 2 tossed dice and so on.
B. Venn Diagrams
Commonly used when questions involve sets
C. Tree Diagram
Commonly used when the problem involves one experiment repeated many times or a sequence of processess.
D. Selection (Without Replacement) and Arrangements
Commonly used when the questions have some “element” of selection and /or arrangements
P(such arrangement) = (Number of such arrangements)/( Total number of arrangements)
P(such selection) = (Number of scush selections)/(Total number of of selections)
Note that this method is NOT APPLICABLE when questions involve selections WITH REPLACEMENT AND/OR ARRANGEMENTS
E. Reduced sample space for finding conditional probabilities if the outcome can be counted.
Practise questions will be given during the lesson.
Cheers!
JC/H2 Maths Tuition Singapore/A-Level Mathematics Tutition/H2 Math Tuition/JC Math Tuition/Math Tutor
Mathematics Tuition Singapore/A-Level Mathematics
Learning outcomes from Permutations and Combinations
1. Principles of Counting
Addition Principles – eg used to add up the various cases that lead to the same result.
Multiplication Principles – eg used to multiple up the various cases that lead to the same result.
2. Permutations is an ordered arrangements of objects.
Arrange n distinct objects in a row = n!
Arrange n distinct objects in a row which m of them are of the same kind – n!/m!
Arrange n distinct objects in a circle = n!/n = (n-1)!
Example : Arrange 8 people sitting in a round table = 8!/8 = 7!
If the chairs are number, nos of arrangement = 7!x8
3. Combination is a selection of objects in which the order or arrangements of the objects is NOT IMPORTANT.
Select r objects without replacement from n distinct objects = nCr
Technique 1
Considering cases and use of Permutations and Combinations Concurrently
Find the number of ways of forming 3-letter code words from the letters in the word SHOOT
Case 1: There is no O in the code word
Number of ways = 3! = 6
Case 2: There is one O in the code word
Number of ways = 1 (one O) x 3C2(choose 2 letters from S,H.T) x 3! (permutation of 3 letters) = 18
Case 3: There are two O in the code word
Number of way = 1 (two O) x 3C1 (choose 1 letter from S,H,T) x 3!/2!
(permutation of 3 letters with two O identical) = 9
Total = 6+18+9 = 33 (Additional Principle)
Try this !
Find the number of way of forming 4-letter code words in the word CUMUMBERS
More techniques on the WAY….
Techique 2 – Handle restrictions first ex fixed position or group together
Technique 3 – Slotting Method
Technique 4 – Use complement method if direct method is too tedious.
Technique 5 – For arrangement in circles with seat numbered, always handle the restrictionby first and lastly multiply the answer by the number of seats.
Ecomonics Tuition Singapore/A-Level Economics/Economics Tutor
Markets vs Government
The whole H2 syllabus can be divided into two major themes which cut across the study of Mico and Micro-Economics.
A) Markets (Micro)
b) Role of Government (Micro-Marco)
Mastering these two themes will help you to excel in economics
Role or the Government can be divided 4 major economic goals.
Growth – Macro Role
Efficiency – Micro Role
Equity – Micro Role
Stability – Macro Role
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A-Level Physics Tuition Singapore / A-Level Physics Tutors Singapore
Questions and solutions for explanation–based questions according to H2 Physics oscillations learning outcomes
Oscillations
1)How resonance can be avoided? Why it needs to be avoided?
Resonance can be avoided by adjusting the forced oscillating frequency to be far from the natural frequency of the oscillating system.
Resonance will produce maximum amplitude of oscillation, hence may cause disintegration of the oscillating system.
2)Describe the importance of critical damping in cases such as a car suspension system.
Suspension system of a car is designed so that it experiences critical damping.Critical damping will ensure that the car will return to its equilibrium position quickly after it passes over a hump and do not oscillate up and down about its equilibrium position.
