1 Starting With Matlab 2 Creating Arrays 3 Mathematical Operations With Arrays 4 Using Script Files And Managing Data 5 Two-dimensional Plots 6 Programming In Matlab 7 User-defined Functions And Function Files 8 Polynomials, Curve Fitting, And Interpolation 9 Applications In Numerical Analysis 10 Three-dimensional Plots 11 Symbolic Math Chapter1: Starting With Matlab
Chapter Questions Section: Chapter Questions
Problem 1P Problem 2P: Calculate: (a) 8+802.6+e3.53 (b) 175)+733.131/4+550.41 Problem 3P: Calculate: (a) 23+453160.7+log10589006 (b) (36.12.25)(e2.3+20) Problem 4P: Calculate: (a) 3.822.754125+5.2+1.853.5 (b) 2.110615.21053610113 Problem 5P: Calculate: (a)sin0.2cos/6+tan72 (b) (tan64cos15)+sin237cos220 Problem 6P: Define the varialbe z as z = 4.5; than evaluate: (a) 0.44+3.1z2162.3z80.7 (b) z323/z2+17.53 Problem 7P: Define the variable t as t= 3.2; then evalute: (a) 12e2t3.81t3 (b) 6t2+6t2t21 Problem 8P: Define the variable xandy as x = 6.5 and y = 3.8; then evaluate: (a) x2+y22/3+xyyx (b) x+yxy2+2x2xy2 Problem 9P: Define the variables a, b, c, and d as: c= 4.6, d = 1.7, a = cd2, and b=c+acd; then evaluate: (a)... Problem 10P: Two trigonometric identities are given by: (a) cos2xsin2x=12sin2x (b) tanxsinx2tanx=1cosx2 For each... Problem 11P: Two trigonometric identities are given by: (a) sinx+cosx2=1+2sinxcosx (b)... Problem 12P: Define two variables: alpha =8, and beta = 6. Using these variables, show that the following... Problem 13P: Given: x2cosxdx=2xcosx+x22sinx . Use MATLAB to calculaet the following difinite integral:... Problem 14P: A rectangular box has the dimensions shown. (a) Determine the angle BAC to the nearest degree. (b)... Problem 15P: The are length of a segment of a parabola ABC is given by: LABC=a2+4h2+2ha+2ha2+1 Determine LABC if... Problem 16P: The three shown circles, with radius 15 in., 10.5 in., and 4.5 in., are tangent to each other. (a)... Problem 17P: A frustum of cone is filled with ice cream such that the portion above the cone is a hemisphere.... Problem 18P: 18. In the triangle shown a =27 in., b 43 in., c=57 in. Define a, b, and c as variables, and then:... Problem 19P: For the triangle shown, a = 72°, ß=43°, and its perimeter is p = 114 mm. Define a, ß, and p, as... Problem 20P: The distance d from a point P (xp,yp,zp) to the line that passes through the two points A (xA,yA,zA)... Problem 21P: The perimeter of an ellipse can be approximated by: P=(a+b)3(3a+b)(a+3b)a+b Calculate the perimeter... Problem 22P: A total of 4217 eggs have w be packed in boxes that can hold 36 eggs each. By typing one line... Problem 23P: A total of 777 people have to be transported using buses that have 46 seats and vans that have 12... Problem 24P: Change the display to format long g. Assign the number 7E8/13 to a variable, and then use the... Problem 25P: The voltage difference Vabbetween points a and b in the Wheatstone bride circuit is given by:... Problem 26P: The current in a series RCL circuit is given by: I=VR2(L1C)2 Where =2 f. Calculate I for the... Problem 27P: The monthly payment M of a mortgage P for n years with a fixed annual interest rate r can be... Problem 28P: The number of permutations nProf taking r Objects out of n objects without repetition is given by:... Problem 29P: The number of combinations Cn,r of taking r objects out of n objects is given by: aye In the... Problem 30P: The equivalent resistance of two resistors R1and R2connected in parallel is given by Req=R1R2R1+R2 .... Problem 31P: The output voltage Voutin the circuit shown is given by (Millman’s theorem):... Problem 32P: Radioactive decay of carbon-14 is used for estimating the age of organic material. The decay is... Problem 33P: The greatest common divisor is the largest positive integer that divides the numbers without a... Problem 34P: The amount of energy E (in joules) that is released by an earthquake is given by: E=1.741019101.44M... Problem 35P: According to the Doppler effect of light, the perceived wavelength ?p, of a light source with a... Problem 36P: Newton’s law of cooling gives the temperature T(t) of an object at time tin terms of T0, its... Problem 37P: The velocity v and the falling distance d as a function of time of a skydiver that experience the... Problem 38P: Use the Help Window to find a display format that displays the output as a ratio of integers. For... Problem 39P: Gosper’s approximation for factorials is given by: n!=2n+13nnen Use the formula for calculating 19!.... Problem 40P: According to Newton’s law of universal gravitation, the attraction force between two bodies is given... Problem 1P
Related questions
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Transcribed Image Text: Standard Normal Table (Page 1)
NEGATIVE z Scores
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
.01
02
03
.04
L05
06
07
.08
.09
-3.50
and
lower
.0001
-3.4
.0003
0003
0005
0003
.0003
0003
0003
0003
.0003
3
o003
.0002
-3.3
.0005
.0005
.0004
0004
.0004
.0004
.0004
0004
.0003
-3.2
0007
0007
.0006
0006
0006
0006
0006
.0005
.0005
.0005
-3.1
.0010
0009
0009
.0009
0008
.0008
0008
.0008
0007
.0007
-3.0
.0013
0013
0013
0012
0017
0012
.01
oon
.01
0010
0010
-2.9
.0019
O018
0018
0016
O016
0015
.0015
.O015
.0014
.0014
-2.8
.0026
0025
0024
.0023
.0032
0023
.0022
.0021
.0021
.0020
.019
-2.7
.0035
0034
.0033
0031
.0030
.0029
.0028
0027
.0026
-2.6
.0047
0045
0060
0044
0043
0041
.0040
0039
.0038
-2.5
.0062
0037
.0036
0059
.0057
0055
.0054
0052
.0051
-2.4
0082
0080
0049
.0048
0078
0075
0073
0071
0069
0068
-2.3
.0107
0104
.0066
.0064
0102
0099
.0096
.0094
0091
.0089
-2.2
.0139
0136
0132
0087
.0084
.0129
.0125
.0122
0119
o116
-2.1
.0179
0174
0170
.0166
L0113
.0110
0162
.0158
0154
0150
0146
-2.0
.0228
0222
.0217
.0212
.0143
0207
.0202
0197
0192
.0188
0287
0359
-1.9
0281
0274
.0268
.0183
.0262
.0256
.0250
.0244
0239
-1.8
0351
.0344
.0336
.0233
.0329
0409
0505 • 0495
.0322
.0314
.0307
.0301
-1.7
0446
0436
0427
.0418
.0294
.0401
.0392
0548
0668
-1.6
0537
.0384
.0375
.0367
.0526
.0516
-1.5
0655
.0485
.0475
.0465
0455
0643
0630
0618
.0606
.0594
.0582
-1.4
0808
.0571
.0559
0793
0951
0778
.0764
0749
.0735
.0721
0869
.0708
.0853
-1.3
0968
.0934
.0918
0901
0694
.0681
.0885
-1.2
1151
131
0838
.0823
m2
1093
1075
1056
-11
1357
1038
1020
1003
.0985
1335
1314
1292
1271
1251
-10
1587
1230
1210
3190
1170
1562
1539
1515
1492
1469
1446
1423
1401
1379
Print
Done
Transcribed Image Text: POSITIVE z Scores
70
115
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
.01
02
03
.04
.05
.06
.07
08
09
0.0
.5000
5040
5080
.5120
5160
5199
.5239
5279
.5319
.5359
0,1
5398
5438
5478
5517
5557
.5596
.5636
5675
.5714
.5753
0.2
5793
5832
5871
5910
.5948
5987
,6026
6064
.6103
.6141
0.3
.6179
.6217
6255
.6293
.6331
6368
6406
6443
6480
.6517
0.4
.6554
6591
.6628
.6664
.6700
.6736
6772
.6808
.6844
.6879
0.5
,6915
.6950
6985
7019
.7054
7088
7123
7157
.7190
.7224
0,6
7257
7291
7324
7357
7389
7422
7454
7486
7517
,7549
0.7
7580
7611
7642
7673
.7704
7734
.7764
8051
.7794
7823
.7852
0.8
7881
7910
7939
7967
7995
8023
8078
8106
8133
0.9
.8159
8186
8212
8238
8264
.8289
.8315
8340
8365
8389
1.0
8413
.8438
8461
8485
8508
8531
8554
.8577
8599
.8621
1.1
8643
8665
8686
.8708
.8729
8749
8770
8790
8810
8830
1.2
8849
.8869
8888
8907
8925
8944
.8962
.8980
8997
.9015
1.3
.9032
9049
.9066
.9082
.9099
.9115
.9131
.9147
.9162
.9177
1.4
9192
9207
9222
.9236
.9251
9265
.9279
9292
9306
9319
1.5
.9332
9345
.9357
9370
.9382
9394
.9406
9418
9429
9441
1,6
9452
9463
9474
9484
.9495 •
.9505
9515
9525
,9535
9545
1.7
.9554
9564
.9573
.9582
.9591 A .9599
.9608
.9616
.9625
.9633
1,8
.9641
9649
.9656
.9664
.9671
.9678
.9686
9693
.9699
.9706
1.9
9713
9719
.9726
9732
.9738
.9744
.9750
.9756
.9761
.9767
2.0
9772
9778
.9783
.9788
.9793
.9798
.9803
.9808
9812
.9817
2.1
9821
.9826
9830
.9834
.9838
.9842
.9846
.9850
.9854
.9857
2.2
9861
9864
9868
9871
.9875
.9878
.9881
.9884
,9887
.9890
2.3
9893
9896
.9898
.9901
.9904
.9906
.9909
.9911
9913
9916
2.4
.9918
.9920
.9922
9925
.9927
.9929
.9931
.9932
.9934
.9936
2.5
.9938
9940
9941
9943
.9945
9946
,9948
.9949
.9951
.9952
2.6
.9953
.9955
.9956
.9957
.9959
.9960
.9961
9962
.9963
.9964
27
9965
9966
9967
9968
9969
9970
9971
9972
9973
9974
Print
Done
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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