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Course: PH 103, Fall 2005
School: St. Vincent
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next This exercise will attempt to reduce the conflict that you felt when switching from verbal/symbolic thinking to visual/relational thinking. The text from the book explains everything you'll need to do the exercise. However, when reading the text before and after doing the exercise, it may help to replace the mention of "artist" with "physicist" any and mention of...

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next This exercise will attempt to reduce the conflict that you felt when switching from verbal/symbolic thinking to visual/relational thinking. The text from the book explains everything you'll need to do the exercise. However, when reading the text before and after doing the exercise, it may help to replace the mention of "artist" with "physicist" any and mention of "drawing" or "art" with "problems" and "physics." One little known secret of the physical sciences is the great importance of the ability to think visually wh...

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St. Vincent - PH - 103
E6.11 Lifting a 2 kg rock to a height of 4 m requires an increase in gravitational potential energy from mgh = (2)(9.8)(4) = 78.4 J of work. Accelerating a 2 kg rock from rest to 10 m/s requires (1/2)mv 2 = (1/2)(2)(102 ) = 100 J of work. The questio
St. Vincent - PH - 103
The following is a thought problem from the first chapter of The Chicken from Minsk by Yuri Chernyak and Robert Rose (HarperCollins Publishers, 1995). Read the problem and think about it. Keep a journal of your thoughts as you attempt to work out a s
St. Vincent - PH - 103
E7.6 a) I = p = F t Thus I = 9 kgm/s. b) F = I 9 = = 60 N t 0.15
St. Vincent - PH - 103
We have come a long way on the road to problem solving by exercising different capabilities of the brain, from mental visualization to completely right-brain relational drawing. We will finish out the semester by applying these capabilities to a few
St. Vincent - PH - 103
E8.11 a) = F r = (80)(1.2) = 96 N m b) = F r = (50)(1.2) = 60 N m Note that this is in the opposite direction to (a)! c) Since (a) and (b) are in opposite directions, the net torque is = 96 60 = 36 N m
St. Vincent - PH - 103
E19.8 A half-life of 2 hours indicates that for every 2 hours that passes, one-half of the remaining parent atoms decay. So the time-line of the 10,000 atoms would look like this: Time 0 hr 2 hr 4 hr 6 hr 8 hr Remaining 10000 5000 2500 1250 625(a)
St. Vincent - PH - 103
The Caterpillar It is spring, and there are 12 hours of daylight. A caterpillar climbs a vertical wall at a speed of 1 foor per hour during the day, and then sleeps for the 12 hours of darkness, during which it slides downward at 1/2 foot per hour. T
St. Vincent - PH - 103
Old Man Mazay Rows for His Vodka We are now with Old Man Mazay, a familiar gure in Russian folklore, rowing down a river. The current is 2 miles per hour. In the stern of the boat, in a wooden box, is the ever-present bottle of vodka. As he passes un
St. Vincent - PH - 103
Grandfather's BreakfastGrandfather is a very hard-boiled customer. In fact, his eggs must be boiled for exactly 15 minutes, no more, no less. One day he asks you to prepare breakfast for him, and the only timepieces in the house are two hourglasses
St. Vincent - PH - 11203
1. (25 pts) a) (5 pts) A wire loop heading into a magnetic field experiences an induced current. The magnetic field then exerts a force on the induced current, in what direction (with respect to the motion of the loop)? The force is exerted opposite
UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
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UPenn - VHM - 801
Exercise 1.88-X is length of human pregnancies (in days). X is assumed to follow N(266,16). Z follows N(0,1).(a) Standardization + table/computer lookup:Pr(X<240) = Pr(X-266)/16 < (240-266)/16) = Pr(Z<-1.625) = 0.052 = 5.2%.(b) Same procedur
UPenn - VHM - 801
Exercise 1.124-Minitab commands and output:MTB > # Opening worksheet from file: C:\.\DATASETS\APPENDIX\CHEESE.DATMTB > # File was last modified on 6/3/98Current worksheet: CHEESE.DATMTB > name c1='case' c2='taste' c3='acetic' c4='H2S' c5=
UPenn - VHM - 801
Exercise 2.51-MTB > # Opening worksheet from file: H:\VHM801\DATASETS\CHAP02\Ex02_051.datMTB > # File was last modified on 6/3/98Current worksheet: Ex02_051.datMTB > name c1='age'MTB > name c2='weight'MTB > %Fitline 'weight' 'age';SUBC>
UPenn - VHM - 801
Exercise 2.94-Minitab commands and output (exercise can also be done by calculator):MTB > # Opening worksheet from file: C:\DATA.AVC\teaching\vhm801\9P\02_094.datMTB > # File was last modified on 10/29/102MTB > name c1='Alaska'MTB > name c2='A
UPenn - VHM - 801
Exercise 4.10-Simulation of draws of opinions on husbands' participation in household work.Probability of women expressing 'yes' (husbands should do their share) is 0.73.(a)The following commands in Minitab will simulate 100 draws of 20 women:
UPenn - VHM - 801
Exercise 4.12-Answers:(a) S = {germination, non-germination}(b) Measured in days after treatment, a reasonable samplingspace would be S = {0,1,2,.,M}, where M is a large number (e.g., 100*365)In practice one would usually use the unbounde
UPenn - VHM - 801
Exercise 4.40-X = number of persons in an American household.Answers:(a) The probabilities sum to 1, and are all >=0, so the probabilitydistribution is legitimate. For a plot, enter the inhabitants andprobabilities as columns c1 and c2 in Mi
UPenn - VHM - 801
Exercise 4.69-Minitab commands for computation of mean and standard deviation:MTB > Set c1DATA> 1( 540 545 550 555 560 )1DATA> End.MTB > name c1 'temp_C'MTB > Set c2DATA> 1( .1 .25 .3 .25 .1 )1DATA> End.MTB > name c2 'prob'MTB >
UPenn - VHM - 801
Exercise 4.70-Two scales for measuring weight. For an item with true weightof 2g, the scales give results: X with mean 2.000g and std.dev. 0.002g, Y with mean 2.001g and std.dev. 0.001g.Also, X and Y are independent.(a) Z = Y-X. EZ = E
UPenn - VHM - 801
Exercise 6.48-Measurements of radon concentrations by a particular type of detectors.Let X_1,.,X_12 denote the 12 measurements.We assume that the observations are i.i.d. (independent and identicallydistributed) with mean mu and standard deviati
UPenn - VHM - 801
Exercise 6.52-A farmer "recognizes" water in 4 trials out of 5.(a) The hypothesis of interest is H0: p=0.5 against the alternative Ha: p>0.5. (It is difficult to imagine that p<0.5, unless there is someerror in the experiment or the farmer mes
UPenn - VHM - 801
Exercise 6.60-In order to obtain a simultaneous error level for all tests of 5%, theBonferroni method uses individual error levels for each test of 5% / 6 = 0.83%.All the listed P-values but 0.008 and 0.001 exceed this value, therefore onlythese
UPenn - VHM - 801
Exercise 7.7-Solution for extended version of exercise 7.7 (not in complete agreementwith the IPS solution).MTB > # Opening worksheet from file: C:\DATA.AVC\teaching\VHM801\DATASETS\CHAP07\EX07_007.DATMTB > # File was last modified on 6/3/98MT
UPenn - VHM - 801
Exercise 10.6-(minitab command for regression and fitted line plot)MTB > # Opening worksheet from file: D:\Data.avc\Teaching\vhm801\DATASETS\CHAP10\Ex10_006.datMTB > # File was last modified on 6/3/98Current worksheet: Ex10_006.datMTB > name
UPenn - VHM - 801
Exercise 10.20:-Linear regression model for Y = intra-arterial measurement of blood pressure x = oscillometric measurement of blood pressurefor 81 premature infants.Estimated regression line: yhat = 15 + 0.83*x.Standard error of the slope =
UPenn - VHM - 801
Exercise 10.28:-Data: Measures of x=monthly income and Y=birth weight for n=40 infants in Kalama (Egypt).Model: (X1,Y1),.,(X40,Y40) are a sample of i.i.d. pairs from a two-dimensional (joint) normal distribution.Estimation: rhohat
UPenn - VHM - 801
Exercise 10.30-Only Minitab commands here are for a plot and a linear regressionanalysis.MTB > # Opening worksheet from file: C:\DATA.AVC\teaching\VHM801\DATASETS\APPENDIX\WOOD.DATMTB > # File was last modified on 6/3/98Current worksheet: WO
UPenn - VHM - 801
Exercise 12.24-A total of N=209 observations, and 3 groups.(a) The pooled variance s^2 and stand.dev. s are calculated ass^2 = (45*2.5^2 + 110*1.8^2 + 51*1.8^2) / (209-3) = 802.89/206 = 3.8975 s = sqrt(3.8975) = 1.97In the ANOVA table, MSE =
UPenn - VHM - 801
Exercise 12.30-Model: X_ij's are normally distributed N(mu_i,sigma) and independent.The values i=1,2,3,4 correspond to treatment (T), control (C), joggers (J) andsedentary (S), respectively.(a) 3 contrasts: (1): psi=mu1-mu2; H0: psi=0, Ha:
UPenn - VHM - 801
Exercise 13.4-(continuation of 13.2)(a)Source DFGender 1Smoking 2G*S 2Error 714Total 719(b)Source DFMixtures 3Cycles 2M*C 6Error 12Total 23(c)So
UPenn - VHM - 801
Exercise 13.12-Minitab commands and comments below:MTB > # Opening worksheet from file: C:\DATA.AVC\teaching\VHM801\DATASETS\CHAP13\EX13_012.DATMTB > # File was last modified on 6/3/98MTB > name c2='species'MTB > name c3='size'MTB > name c4='
UPenn - VHM - 801
Exercise 13.15-Minitab commands with comments:MTB > # Opening worksheet from file: D:\Data.avc\Teaching\vhm801\DATASETS\CHAP13\Ta13_002.datMTB > # File was last modified on 6/3/98MTB > name c2='promotions'MTB > name c3='discount'MTB > name c4
UPenn - VHM - 801
Exercise 13.20-(a)The ANOVA analysis shows no significant interaction, no significant main effectof holder (presence/absence) but clear significant effect of series. With a P-value of 0.17 for the F-test of holder it might be interesting to see
Berkeley - MATH - 2212008
Prof. Ming Gu, 861 Evans, tel: 2-3145 Office Hours: MWF 12:00-2:00PM Email: mgu@math.berkeley.edu http:/www.math.berkeley.edu/mgu/MA2212008FMath221: Matrix Computations Homework #1, Due Sept. 3, 2008 Problems 1.1, 1.3, 1.4, 1.9, 1.10, 1.11. Down
Berkeley - MATH - 2212008
Prof. Ming Gu, 861 Evans, tel: 2-3145 Oce Hours: TuWTh 12:00-1:30PM Email: mgu@math.berkeley.edu http:/www.math.berkeley.edu/mgu/MA2212008FMath221: Matrix Computations Selected Solutions to Homework #1, 2008 Problem 1.9: We will only consider the