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
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Interpret the following graphs:
In the graphs, the number of days are 18.. 1 day is equal to 60 sec. days are taken on x-axis. The mean foraging times are taken on y-axis.
Transcribed Image Text: **Graph 1: Mean Foraging Times vs Experimental Days**
This line graph illustrates the relationship between mean foraging times and experimental days for two groups: novices and experienced individuals. The x-axis represents the experimental days (0 to 18), and the y-axis shows the mean foraging times (0 to 60 units).
- The blue line represents novices, showing a relatively stable trend with slight fluctuations in foraging times.
- The orange line represents experienced individuals, displaying a gradual increase in mean foraging times with noticeable peaks and a sharp rise near day 18.
**Graph 2: Prey Camouflage**
This bar graph compares the percentage of prey caught during two periods of winter: the first half and the second half, over a period of 13 days. The x-axis represents the days, and the y-axis indicates the mean foraging time (0 to 80 units).
- The blue bars denote the percentage of prey caught during the first half of winter.
- The orange bars show the percentage of prey caught during the second half of winter.
- The data highlights varying levels of prey capture success, with some days showing significant differences between the two periods.
**Graph 3: Exclusive Ranges**
This line graph examines the mean foraging times for two conditions: territory (blue line) and harassment (orange line), across 20 days. The x-axis indicates the mean foraging times (0 to 20 days), and the y-axis displays the mean foraging time (0 to 70 units).
- The blue line (territory) shows moderate fluctuations and peaks around day 10, then declines sharply after day 14.
- The orange line (harassment) indicates similar peaks, especially around days 8 to 13, with a notable drop after day 14.
Overall, these graphs provide insights into foraging behavior, prey camouflage effectiveness, and the impact of territorial and harassment factors on foraging times.
Transcribed Image Text: ## Educational Website Content: Foraging Time Analysis
### Graph 1: Food Density
**Title:** Food Density
This bar graph depicts the mean foraging time over 19 days at varying food densities. The x-axis represents days, while the y-axis shows the mean foraging time. Different colored bars indicate:
- **Orange:** Mean foraging time (1x density)
- **Red:** Mean foraging time (1/2x density)
- **Yellow:** Mean foraging time (1/3x density)
- **Blue:** Mean foraging time (1/4x density)
Notable trends are visible where higher densities result in increased mean foraging time, particularly around day 9.
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### Graph 2: Specialization: Mean Foraging Time vs Days
**Title:** Specialization: Mean Foraging Time vs Days
This line graph compares mean foraging times for two food types over 18 days. The x-axis represents days, and the y-axis measures mean foraging time:
- **Blue Line:** Mean foraging time (Pinto)
- **Orange Line:** Mean foraging time (Mixed food)
The data shows fluctuating foraging times with distinct peaks, suggesting variations in efficiency or availability.
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### Graph 3: Specialization: Mean Foraging Time (Pure & Mixed) vs Days
**Title:** Specialization: Mean Foraging Time (Pure & Mixed) vs Days
Similar to the previous graph, this line graph examines the mean foraging times for pure red beans and mixed food over 18 days:
- **Blue Line:** Mean foraging time (pure food red beans)
- **Orange Line:** Mean foraging time (mixed food)
The graph highlights similar foraging patterns, with synchronized peaks and declines, indicating changes in behavior or external conditions.
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### Graph 4: Specialization: Mean Foraging Time (Pure & Mixed) vs Days
**Title:** Specialization: Mean Foraging Time (Pure & Mixed) vs Days
This line graph compares mean foraging times between pure elbow macaroni and mixed food over 18 days:
- **Blue Line:** Mean foraging time (pure food elbow macaroni)
- **Orange Line:** Mean foraging time (mixed food)
Patterns of foraging times display noticeable spikes and reductions, reflecting adaptive strategies or environmental influences.
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These graphs provide insights into how food type and density affect foraging efficiency and behavior over time.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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