5_2010_DGD PROBLEMS_fall2010_PHY1321_1331

5_2010_DGD PROBLEMS_fall2010_PHY1321_1331 - HIGH SCHOOL...

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Unformatted text preview: HIGH SCHOOL MATH REVIEW: Self-test (Try to solve these problems within 70 minutes). Solutions and discussion will be provided during the first DGD. 1Solve three equations below: 2x-y-9 = 0 4y+x = 8 2x+6z=3 2 When will two linear equations have no solutions? When will they have one solution? When will there be infinite number of the solutions? Illustrate your answers with examples 3 Solve quadratic equation below: 4x 2-4x+4=0 4 Find the angle A A 25 40 40 65 5 Find the angle A 6 Solve 32 2 1 2 4 = + + x x 7 Solve 1 1 1 2 2 8- +- = x x x 8 Find the slope of a line tangent to parabola 4 3 2 ) ( 2 +- = t t t y at t=5s 40 A a=7 b=8 9 Find dt df of 1 2t 1 3t e f(t) +- = at t=2s 10 Simplify ) tan (1 cot 1 1)- (cos sin tan 2 2 2 2- 11 Solve : 3cos2x) 1)(1- (2cos2x = + ; for 0<x<90 12 Cylinder is inside a sphere of Radius R. Find the height and radius of the cylinder that maximize its volume. BONUS 13* Using the definition of logarithm demonstrate their well known properties : i) ii) iii) y x log y log- x log c c c = xy log y log x log c c c = + x mlog x log c m c = DGD Schedule for PHY1321 Tuesday DGD5 10:30-11:30 Technology & Engineering SITE Room: H0104 Tuesday DGD4 10:30-11:30 Morisset Hall (MRT) Room: 251 Wednesday DGD 3 10:30-11:30 Lamoureux Hall (LMX) Room: 221 Wednesday DGD2 10:30-11:30 Montpetit Hall (MNT) Room: 207 Wednesday DGD1 10:30-11:30 Arts Building (ART) Room: 257 Despite what the program coordinator software is telling you, it does not matter which class DGD you are attending! Most likely we will close down one of these sessions after the first month! (the least attended one!) DGD PROBLEMS: 1 NOT ALL OF THE PROBLEMS WILL BE SOLVED IN FULL SOME QUESTIONS WILL BY JUST ANALYSED AND THE PLAN OF ATTACK WILL BE PRESENTED DURING THE DGD. STUDENTS SHOULD FINISH THESE PROBLEMS ON THEIR OWN. 2 In some cases the material in DGD will be discussed ahead of the material studied and discussed in class . ( There also will be cases when certain topics will be studied only during the DGD and not during the lecture ). In such instance please make sure to inform the TA about it, and remain calm! TA might want to give you five minute intro into the material and you will still benefit from the analysis of the problem. 3 Reading the assigned problems before DGD will surely help you in understanding what TA is doing! I recommend that students actually try to solve these questions before the DGD! The first DGD is held on Sept 14 and Sept15 It will cover: The overview of your math self-test ( 25min) READING ASSIGNMENT Vectors (25 min.) READING ASSIGNMENT Mock assignment DGD Schedule for PHY1331 Tuesday DGD1 10:30-11:30 Technology & Engineering SITE Room: B0138 Tuesday DGD2 10:30-11:30 Louis Pasteur (LPR) Room: 155 Wednesday DGD3 10:30-11:30 Montpetit Hall (MNT) Room: 201 Despite what the program coordinator software is telling you, it does not matter which class DGD you are attending!...
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5_2010_DGD PROBLEMS_fall2010_PHY1321_1331 - HIGH SCHOOL...

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