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Thinking@TheCulture is a series of questions that we, as tutors feel that are useful in helping students think and improve their understanding. Thinking Physics@TheCulture is curated by Aaron. [...]

Physics@TheCulture is a series of questions that we, as tutors feel that are useful in helping students think and improve their understanding. Thinking Math@TheCulture is curated by Aaron. More [...]

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

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 latex k1. 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…

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: [...]

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

All solutions here are SUGGESTED. Casey will hold no liability for any errors. Comments are entirely personal opinions. B C B D D C D D B C A D D C C A D A B D Question 21 is a flawed question. [...]

HCI/1/6 A group of boys want to set up a camping tent. They lay down a rectangular tarp OABC on the horizontal ground with OA = 3 m and AB = 1.5 m and secure the points D and E vertically above O [...]

All solutions here are SUGGESTED. Christine will hold no liability for any errors. Comments are entirely personal opinions. Read more about Christine’s Pre-A’levels 2016 thoughts [...]