MATLAB An Introduction With Applications 6th Edition Amos Gilat - Solutions

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1. Determine the effort of your project in person-months of effort by multiplying your lines of code (in thou¬sands) by 1.4.
5. Using the table in Figure 3-4, determine the number of lines of code that correspond to VB. Multiply this num¬ber with the TAFP to find the total lines of code that your system will require.
4. Suppose the system will be built by you using Visual Basic (VB). Given your VB skills, multiply the TUFP score by the APC score that best estimates how com¬plex the system will be for you to develop (.65 = sim¬ple, 1 = average, 1.35 = complex), and calculate a TAFP value.
3. Sum up the total unadjusted function points.
2. Calculate the total function points for each line on your worksheet by multiplying the number of each element with the appropriate complexity score.
1. Determine the number of inputs, outputs, interfaces, files, and queries that this system requires. For each element, determine if the complexity is low, medium, or high. Record this information on a worksheet simi¬lar to the one in Figure 3-3.
2. How would you have managed this project? Can you think of another approach that might have been more effective?
1. What are the risks in stressing only one corner of the triangle?
22. Reread the “Your Turn 2-1” box (Identify Tangible and Intangible Value). Create a list of the stakehold¬ers that should be considered in a stakeholder analy¬sis ofthis project.
19. Suppose that you are interested in buying yourself a new computer. Create a cost-benefit analysis that illustrates the return on investment that you would receive from making this purchase. Computerrelated Web sites (e.g., Dell Computers, Compaq Computers) should have real tangible costs that
17. Locate a news article in an IT trade magazine (e.g., Computerworld) about an organization that is imple¬menting a new computer system. Describe the tan¬gible and intangible value that the organization likely will realize from the new system.
16. What is stakeholder analysis? Discuss three stake¬holders that would be relevant for most projects.
15. What is the break-even point for the project? How is it calculated?
13. Explain how an expected value can be calculated for a cost or benefit. When would this be done?
11. List two intangible benefits. Describe how these benefits can be quantified.
10. What are the steps for assessing economic feasibil¬ity? Describe each step.
8. What factors are use to determine project size?
7. Describe the three techniques for feasibility analysis.
1. Give three examples of business needs for a system.
2. Based on your answer to question 1, which project would you choose?
1. What are three costs, benefits, risks, and intangibles associated with each project?
4. How can you learn more about the issues that affect the three kinds of feasibility?
3. List three things that influence the organizational fea¬sibility of the system.
2. List three things that influence the economic feasibility of the system.
1. List three things that influence the technical feasibility of the system.
2. How would you interpret these results if you were a manager thinking about investing in data warehous¬ing for your company?
1. What kinds of reasons would you give for the varying degrees of return on investment?
4. Create a system request that you could give to the administration that explains the sponsor, business need, business requirements, and potential value of the project. Include any constraints or issues that should be considered.
3. Based on your answers to question 1, describe three intangible benefits that the company can receive from its new computer system. How can these be quantified?
2. Based on your answers to question 1, describe three tangible benefits that the company can receive from its new computer system. How can these be quanti¬fied?
1. What kinds of things does Dominion Virginia Power do that requires it to know power pole locations? How often does it do these things? Who benefits if the com¬pany can locate power poles faster?
Think about your ideal analyst position. Write a newspaper ad to hire someone for that position.What requirements would the job have? What skills and experience would be required? How would applicants demonstrate that they have the appropri¬ate skills and experience?
Suppose you were an analyst developing a new information system to automate the sales transac¬tions and manage inventory for each retail store in a large chain. The system would be installed at each, store and exchange data with a mainframe computer at the company’s head office. What methodology
Suppose you were an analyst developing a new exec¬utive information system (EIS) intended to provide key strategic information from existing corporate databases to senior executives to help in their deci¬sion making. What methodology would you use?Why?
Suppose you were an analyst working for a small company to develop an accounting system. What methodolpgy would you use? Why?
The basic methodologies discussed in this chapter can be combined and integrated to form new hybrid methodologies. Suppose you were to combine throwaway prototyping with the use of parallel development. What would the methodology look like? Draw a picture (similar to Figure 1-8). How would this new
Which phase in the SDLC is most important?
Describe the major elemeiits and issues with throw¬away prototyping.
Compare and contrast structured design method¬ologies in general to rapid application development(RAD) methodologies in general.
Compare and contrast process-centered methodolo¬gies, data-centered methodologies, and object-ori¬ented methodologies.
31. Damped free vibrations can be modeled by a block of mass m that is attached to a spring and a dashpot as shown. From Newton’s second law of motion, the displacement x of the mass as a function of time can be determined by solving the differential equation:where k is the spring constant and c
30. The current, i, in a series RLC circuit when the switch is closed at can be determined from the solution of the 2nd-order ordinary differential equation(ODE):where R, L, and C are the resistance of the resistor, the inductance of the inductor, and the capacitance of the capacitor,
29. Determine the solution of the following differential equation that satisfies the given initial conditions. Plot the solution for ., , vS LR B A vR R = 0.4 i L = 0.08 t = 0 vS vS = 6 tBA iR L di dt+ ----- = vS t = 0 iR L di dt+ ----- = 0 vR vR = iR vS vS tBA vR vR dy dx------ ey = cosx y 0 = 2
28. Determine the general solution of the differential equation:Show that the solution is correct. (Derive the first derivative of the solution, and then substitute back into the equation.)
27. A resistor R ( ) and an inductor L ( H) are connected as shown. Initially, the switch is connected to point A and there is no current in the circuit. At the switch is moved from A to B, so that the resistor and the inductor are connected to( V), and current starts flowing in the circuit. The
26. The velocity of a skydiver whose parachute is still closed can be modeled by assuming that the air resistance is proportional to the velocity.From Newton’s second law of motion the relationship between the mass m of the skydiver and his velocity v is given by (down is positive):where c is a
25. The Maxwell-Boltzmann probability density function is given by:where m (kg) is the mass of each molecule, v (m/s) is the speed, T (K) is the temperature, and J/K is Boltzmann’s constant. The most probable speed corresponds to the maximum value of and can be determined from . Create a symbolic
24. The spread of an infection from a single individual to a population of N uninfected persons can be described by the equation:with initial condition where x is the number of uninfected individuals and R is a positive rate constant.Solve this differential equation symbolically for . Also,
23. The rms value of an AC voltage is defined by:where T is the period of the waveform.(a) A voltage is given by . Show that and is independent of . (The relationship between the period T and the radian frequency is .)(b) A voltage is given by V. Determine .
22. Consider the parabolic sector shown in the previous problem. Show that the moment of inertia about the x axis, , is given by . The moment of inertia can be calculated by:
21. Show that the location of the centroid of the parabolic sector shown is given by. The coordinate can be calculated by:
20. A ceramic tile has the design shown in the figure. The shaded area is painted red and the rest of the tile is white. The border line between the red and the white areas follows the equation:Determine k such that the areas of the white and the red colors will be the same.
19. The one-dimensional diffusion equation is given by:Show that the following are solutions to the diffusion equation.(a) , where A and B are constants.(b) , where A, B, C, and are constants.
18. Define x as a symbolic variable and create the symbolic expression:Plot S in the domain and calculate the integral .
17. Evaluate the following indefinite integrals
16. The parametric equations of an ellipsoid are:, , where and .Show that the differential volume element of the ellipsoid shown is given by:Use MATLAB to evaluate the integral of dV from to 0 symbolically and show that the volume of the ellipsoid is .
15. A tracking radar antenna is locked on an airplane flying at a constant altitude of 5 km, and a constant speed of 540 km/h. The airplane travels along a path that passes exactly above the radar station. The radar starts the tracking when the airplane is 100 km away.(a) Derive an expression for
14. The equation of a circle with its center is at and is given by, where R is the radius of the circle. Write a program in a script file that first derives the equation(symbolically) of the tangent line to the circle at the point on the upper part of the circle [i.e., for and]. Then for specific
13. The mechanical power output P in a contracting muscle is given by:where T is the muscle tension, v is the shortening velocity (max of ), is the isometric tension (i.e., tension at zero velocity), and k is a nondimensional constant that ranges between 0.15 and 0.25 for most muscles. The equation
12. A box of mass m is being pulled by a rope as shown. The force F in the rope as a function of x can be calculated from the equations:where N and are the normal force and friction coefficient between the box and surface, respectively. Consider the case where kg, m,, and m/s2.(a) Use MATLAB to
11. A 120 in.-long beam AB is attached to the wall with a pin at point A and to a 66 in.-long cable CD. A load lb is attached to the beam at point B. The tension in the cable T and the x and y components of the force at A ( and ) can be calculated from the equations:where L and are the lengths of
10. Consider the two ellipses in the x y plane given by the equations:and(a) Use the ezplot command to plot the two ellipses in the same figure.(b) Determine the coordinates of the points where the ellipses intersect.
9. The relation between the tension T and the steady shortening velocity v in a muscle is given by the Hill equation:where a and b are positive constants and is the isometric tension, i.e., the tension in the muscle when . The maximum shortening velocity occurs when .(a) Using symbolic operations,
8. A water tank has the geometry shown in the figure (the upper section is a cylinder with radius r and height h, and the lower section is a cone with radius r and a height of 2r). Determine the radius r if in. and the volume is 7,000 in.3. (Write an equation for the volume in terms of the radius
7. In rectangular coordinates the equation of the hyperbola shown in the figure is given by:(a) Use MATLAB to show that in parametric form the equation of the hyperbola can be written as:and(b) Make a plot of the hyperbola for the domain shown in the figure by using the ezplot command.
6. Use the commands from Section 11.2 to show that:(a)(b)
5. Use the commands from Section 11.2 to show that:(a)(b)
4. Define x as a symbolic variable.(a) Derive the equation of the polynomial that has the roots , ,, , and .(b) Determine the roots of the polynomial:by using the factor command.
3. Define x and y as symbolic variables and create the two symbolic expressions and Use symbolic operations to determine the simplest form of . Use the subs command to evaluate the numerical value of the result for and.
2. Define y as a symbolic variable and create the two symbolic expressions and Use symbolic operations to determine the simplest form of each of the following expressions:(a) (b) (c)(d) Use the subs command to evaluate the numerical value of the result from part (c) for .
1. Define x as a symbolic variable and create the two symbolic expressions and Use symbolic operations to determine the simplest form of each of the following expressions:(a) (b) (c)(d) Use the subs command to evaluate the numerical value of the result from part (c) for .
22. A ball thrown up falls back to the floor and bounces many times. For a ball thrown up in the direction shown in the figure, the position of the ball as a function of time is given by:The velocities in the x and y directions are constants throughout the motion and are given by and. In the
21. The stress fields near a crack tip of a linear elastic isotropic material for mode II loading are given by:For ksi plot the stresses (each in a separate figure) in the domain and in. Plot the coordinates x and y in the horizontal plane, and the stresses in the vertical direction.
20. The geometry of a ship hull (Wigley hull) can be modeled by the equation:where x, y, and z are the length, width, and height, respectively. Use MATLAB to make a 3-D figure of the hull as shown. Use ,
19. The Verhulst model, given in the following equation, describes the growth of a population that is limited by various factors such as overcrowding and lack of resources:where is the number of individuals in the population, is the initial population size, is the maximum population size possible
18. The deflection w of a clamped circular membrane of radius subjected to pressure P is given by (small deformation theory):where r is the radial coordinate, and , where E, t, and are the elastic modulus, thickness, and Poisson’s ratio of the membrane, respectively.Consider a membrane with psi,
17. The equation for the streamlines for uniform flow over a cylinder is where is the stream function. For example, if , then . Since the equation is satisfied for all x, the x axis is the zero ( ) streamline.Observe that the collection of points where is also a streamline.Thus, the stream function
16. A high-pass filter passes signals with frequencies that are higher than a certain cutoff frequency.In this filter the ratio of the magnitudes of the voltages is given by:where is the frequency of the input signal.(a) Make a 3-D mesh plot of (z axis) as a function of f (x axis) for Hz, and as a
15. In the solution of elasticity problem of a normal point load applied to the surface of a half plane that was solved by Boussinesq in 1878, the stresses and are given by:and where is Poisson’s ratio. For lb and, plot the stress components (each in a separate figure) as a function of r and z in
14. An RLC circuit with an alternating voltage source is shown. The source voltage is given by, where , in which is the driving frequency.The amplitude of the current, I, in this circuit is given by:where R and C are the resistance of the resistor and capacitance of the capacitor, respectively. For
13. Consider steady-state vibration of a friction-free spring-mass-damper system subjected to harmonic applied force.The normalized amplitude of the mass is given by:where is the frequency ratio, and is the damping ratio. Make a 3-D plot (shown) of the normalized amplitude(z axis) as a function of
12. Plank’s distribution law gives the blackbody emissive power (amount of radiation energy emitted) as a function of temperature and wavelength:where W m4/m2, mK, T is the temperature in degrees K, and is the wavelength in m. Make a 3-D plot (shown in the figure) of as a function of( m) and T
11. Molecules of a gas in a container are moving around at different speeds.Maxwell’s speed distribution law gives the probability distribution as a function of temperature and speed:where M is the molar mass of the gas in kg/mol, J/(mol K), is the gas constant, T is the temperature in kelvins,
10. A monochromatic light that passes through a slit produces on a screen a diffraction pattern consisting of bright and dark fringes. The intensity of the bright fringes, I, as a function of can be calculated by:where , is the light wave length, a is the width of the slits. Make a 3-D plot (shown)
9. Make a plot of the ice cream cone shown in the figure.The cone is 8 in. tall with a 4-in. diameter base. The ice cream at the top is a 4-in. diameter hemisphere.A parametric equation for the cone is:, , with and A parametric equation for a sphere is:, , with and
8. Make a 3-D surface plot of the function in the domain and .
7. Make a 3-D mesh plot of the function , where in the domain and .
6. Make a 3-D surface plot of the function in the domain and .
5. Make a 3-D surface plot of the function in the domain and .
4. Make a 3-D surface plot of the function in the domain and .
3. The ladder of a fire truck can be elevated(increase of angle ), rotated about the z axis (increase of angle ), and extended (increase of r). Initially the ladder rests on the truck ( ,, and m). Then the ladder is moved to a new position by raising the ladder at a rate of 5 deg/s, rotating at a
2. A staircase of height h is modeled by the parametric equations:where , , and m is the staircase height.Make a 3-D plot (shown) of the staircase.(Create a vector t for the domain 0 to , and use the plot3 command.)
1. The position of a moving particle as a function of time is given by:Plot the position of the particle for s.
42. The velocity, v, of an object that falls freely due to the Earth gravity can be modeled with the equation:where m is the mass of the object, m/s2, and k is a constant. Solve the equation for v for the case that kg, kg/m, s, and m/s. Make a plot of v as a function of time.
41. Growth of many organisms can be modeled with the equation:where is the mass of the organism, is the assumed maximum mas, and k is a constant. Solve the equation for days, given kg1/4/day, kg and kg. Make a plot of m as a function of time.
40. An RL circuit includes a voltage source , a resistor , and an inductor H, as shown in the figure. The differential equation that describes the response of the circuit is where is the current in the inductor. Initially , and then at the voltage source is changed. Determine the response of the
39. The population growth of species with limited capacity can be modeled by the equation:where N is the population size, is the limiting number for the population, and k, r, and are constants. The second term in the equation represent the effect of predation. Consider the case where 6,000, 1/yr,
38. An airplane uses a parachute and other means of braking as it slows down on the runway after landing. Its acceleration is given by m/s2. Since, the rate of change of the velocity is given by:Consider an airplane with a velocity of 300 km/h that opens its parachute and starts decelerating at t =
37. The sudden outbreak of an insect population can be modeled by the equation The first term relates to the well-known logistic population growth model where N is the number of insects, R is an intrinsic growth rate, and C is the carrying capacity of the local environment. The second term
36. A water tank shaped as a cone ( m, m) has a circular hole at the bottom( mm), as shown. According to Torricelli’s law, the speed v of the water that is discharging from the hole is given by:where h is the height of the water and m/s2. The rate at which the height, h, of the water in the tank

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MATLAB An Introduction With Applications 6th Edition Amos Gilat - Solutions

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