2007 TJC H2 MA 9740 PRELIM P1 Qns

# 2007 TJC H2 MA 9740 PRELIM P1 Qns - 2 Expand x 4 3 2 1 as a...

This preview shows pages 1–2. Sign up to view the full content.

TJC/MA9740/P1/PRELIM2007 2 1 Expand 3 2 4 x as a series in ascending powers of x , up to and including the term in 3 x . State the values of x for which this expansion is valid. [5] 2 (a) Find the number of ways four couples can be seated in a row such that each couple is seated together? [2] (b) Karen tries to recall the 4-digit PIN code for her safe but cannot remember it exactly. She knows that it consists of 4 different digits excluding 0 and 9, and that it starts and ends with an even number. For each attempt, she is allowed to key in 6 wrong codes before the safe shuts down for half an hour as a security precaution. If she wants to make sure that she gets the right PIN code within one week (7 days), and assuming she attempts an equal number of codes per day, at least how many attempts of 6 possible codes must she make each day? [4] 3 Given that 2 2 2 25 (1 )(3 ) L x x where L and x are both positive. By implicit differentiation or otherwise, find the exact value of x for which L is minimised. [6] 4 Relative to an origin O , position vectors of A , B and C are a , b and c respectively where a , b and c are non-parallel vectors.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern