OXFORD COLLEGES PHYSICS APTITUDE TEST (PAT) Please fill ...

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9. Given the functions:y 1 = x 3 −3x 2 +2x+3y 2 = x 2 −3x−4Find the values of x between 0.8 and 1.9 which give the maximum andminimum difference between y 1 and y 2 . [6]10. Given that s = x 2 +y 2 and t = 2xy, find expressions for x and y in terms ofs and t. [4]
11. The numbers shown by two dice are labelled d 1 and d 2 ; a score is constructedfrom these by the expression: S = Ad 1 +Bd 2 +C, where A, B and C areconstants. DeterminethevaluesofA,B andC suchthattherangeofpossiblevalues for S covers all integers from 0 to 35, with an equal probability of eachscore. [4]
Page 1: OXFORD COLLEGES PHYSICS APTITUDE TE
Page 4 and 5: Part A: Mathematics for Physics [50
Page 6 and 7: 4. The figure below shows a rhombus
Page 8 and 9: 7. Given that x 2 −x−6 is a fac
Page 12 and 13: Part B: Physics [50 Marks]Multiple
Page 14 and 15: Written answers (20 marks)22. A cat
Page 16 and 17: 24. Aradioactivesourceemitsaparalle
Page 18 and 19: Long question (20 marks)26. An arch
Page 20: If the arrow is brought to rest in

OXFORD COLLEGES PHYSICS APTITUDE TEST (PAT) Please fill ...

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