MATLAB An Introduction With Applications 3rd Edition Amos Gilat - Solutions

Discover comprehensive solutions and answers key for "MATLAB An Introduction With Applications 3rd Edition" by Amos Gilat. Access the solution manual and solutions PDF to explore solved problems with detailed, step-by-step answers. Enhance your learning with the test bank, chapter solutions, and instructor manual, all tailored to facilitate your understanding of this essential textbook. Enjoy the convenience of online resources and free download options to assist your study efforts. Whether you’re looking for questions and answers or need a complete solutions guide, our platform offers a seamless learning experience for all students.

18. The intrinsic electrical conductivity of a semiconductor can be approximated by:where is measured in , is the band gap energy, k is Boltzmann’s constant ( eV/K), and T is temperature in kelvins. For germanium, and eV. Write a program in a script file that calculates the intrinsic electrical
17. The airplane shown is flying at a constant speed of mi/h along a straight path as shown. The airplane is being tracked by a radar station positioned a distance ft below point A. The airplane is at point A at. Write a MATLAB program that calculates and r as functions of time for s. Display the
16. The maximum stress max at the edge of a hole (diameterd) in a thin plate, with width w and thickness t, loaded by a tensile force F as shown is given by:where and .Write a program in a script file that calculates max. The program should read the values of F, w,d, and t from an ASCII text file
15. A person at point A spots a child in trouble at point B across the river. The person can run at a speed of 8.6 ft/s and can swim at a speed of 3.9 ft/s. In order to reach the child in the shortest time the person runs to point C and then swims to point B, as shown. Write a MATLAB program that
14. A 12-ft (144-in.) wire is cut into eight pieces which are welded together to form a pyramid as shown, such that in the rectangular base. Write a MATLAB program that determines the dimensions a and b such that the volume of the pyramid will be as large as possible. In the program define a vector
13. The angle at which a viewer sees the picture on the screen in a movie theater depends on the distance x from the screen. Write a MATLAB program that determines the angle (in degrees) for viewers setting at distances of 20, 26, 32, 38, 44, 50, 56, 62, and 68 ft. Display the results in a
12. An isosceles triangle sign is designed to have a triangular printed area of 600 in.2 (shaded area with a base length of a and height of h in the figure).As shown in the figure, there is a 2-in. gap between the sides of the triangles. Write a MATLAB program that determine the dimensions a and h
11. Early explorers often estimated altitude by measuring the temperature of boiling water. Use the following two equations to make a table that modernday hikers could use for the same purpose., where p is atmospheric pressure in inches of mercury, is boiling temperature in °F, and h is altitude
10. The electricity supply cables of the three houses shown are connected to a pole as shown. Write a MATLAB program that determines the location of the pole (distance x) that minimizes the total length of the cables needed. In the program define a vector x with values ranging from 50 to 200 with
9. The value of a saving account, V, after t years is given by:where P is the initial investment, r is the yearly interest rate in % (e.g., 7.5%entered as 7.5), and n is the number of times per year that the interest is compounded. Write a MATLAB program in a script file that calculates V.When the
8. The reduction of the amount of medication in the body can be modeled by the equation , where A is the amount at time t, A0 is the amount at t = 0, and k is the decay constant ( ). The half-life time of a certain medication is 3.5 h. A person takes 400 mg of the medication at t=0, and then
7. Write a MATLAB program in a script file that calculates the average and the standard deviation of a list of grades as well as the number of grades on the list. The program asks the user (input command) to enter the grades as elements of a vector. The program then calculates the required
6. A 300-lb garage door is being opened by pulling on the cable as shown. As the door is lifted the force, F, in the cable, as a function of the angle , is given by:where Calculate F for =0° through 90° with increments of 10°. Display the results in a two-column table.
5. A fuel tank is made of a half cylinder ( in.)as shown. Derive an expression for the amount of fuel in gallons as a function of h. Create a vector for h ranging from 0 to 14 in. with increments of 2 in. Then calculate the corresponding volume rounded to the nearest tenth of a gallon. Display the
4. Radioactive decay can be modeled by the equation where A is the amount at time t, A0 is the amount at time , and k is a constant. Write a MATLAB program that calculates the amount of a radioactive material. When executed, the program asks the user to enter the halflife of the material (in
3. Write a MATLAB program that determines the radius, r, of the largest sphere that can be inscribed inside a cone with base radius R and height h. For input the program asks the user to enter values for R and h. The program then calculates r rounded to the nearest tenth.For output the program
2. The altitude, h, as a function of air pressure can be calculated by:where h is in units of feet and the pressure p in units of millibars (mb). Write a MATLAB program in a script file that calculates the h for a given p. For input the program asks the user to enter the pressure in units of
1. Body mass index (BMI) of a person is a measure of body fat based on height and weight. In U.S. customary units it is calculated by:where W is the person’s weight in pounds and h is the heights in inches.Write a MATLAB program in a script file that calculates the BMI. For input the program asks
37. The electrical circuit shown consists of resistors and voltage sources. Determine and , using the mesh current method based on Kirchhoff’s voltage law (see Sample Problem 3-4).V, V, V, ,,
36. A food company manufactures five types of 8-oz trail mix packages using different mixtures of peanuts, almonds, walnuts, raisins, and M&Ms. The mixtures have the following compositions:How many packages of each mix can be manufactured if 105 lb of peanuts, 74 lb of almonds, 102 lb of walnuts,
35. A football stadium has 100,000 seats. In a game with full capacity people with the following ticket and associated cost attended the game:Determine the number of people that attended the game in each cost category if the total revenue was $4,897,000, there were 11,000 more alumni than faculty,
34. Solve the following system of six linear equations:
32. The magic square is an arrangement of numbers in a square grid in such a way that the sum of the numbers in each row, and in each column, and in each diagonal is the same. MATLAB has a built-in function magic(n)that returns an magic square. In a script file create a magic square, and then test
31. Create a matrix A having random integer values between 1 and 5. Call the matrix A and, using MATLAB, perform the following operations. For each part explain the operation.(a) A.^A (b) A.*A (c) A*A-1(d) A./A (e) det(A) (f) inv(A)
30. Use the matrices A, B, and C from the previous problem to answer the following:(a) Does ? (b) Does (B*C)-1 = B-1*C-1?(c) Does ? ( t means transpose) (d) Does (A + B)t = At + Bt?
29. Create the following three matrices:, ,(a) Calculate and to show that addition of matrices is commutative.(b) Calculate A*(B*C) and (A*B)*C to show that multiplication of matrices is associative.(c) Calculate 5(B+C) and 5B+5C to show that, when matrices are multiplied by a scalar, the
28. The monthly lease payment, Pmt, of a new car can be calculated by:where Pv and Fv are the present value and the future value (at the end of the lease) of the car, respectively. N is the duration of the lease in months, and i is the interest rate per year. Consider a 36-months-lease of a car
27. The Hazen Williams equation can be used to calculate the pressure drop, Pd(psi/ft of pipe) in pipes due to friction:where Q is the flow rate (gpm), C is a design coefficient determined by the type of pipe, and d is pipe diameter in inches. Consider a 3.5-in.-diameter steel pipe with . Calculate
26. Show that . Do this by first creating a vector x that has the elements 1.0, 0.1, 0.01, 0.001, and 0.0001. Then, create a new vector y in which each element is determined from the elements of x by .Compare the elements of y with the value 7.5. Use format long to display the numbers.
25. Show that . Do this by first creating a vector x that has the elements , , , ,, and . Then, create a new vector y in which each element is determined from the elements of x by . Compare the elements of y with the value . Use format long to display the numbers.
24. The natural exponential function can be expressed by . Determine e2 by calculating the sum of the series for:(a) n = 5, (b) n = 15, (c) n = 25 For each part create a vector n in which the first element is 0, the increment is 1, and the last term is 5, 15, or 25. Then use element-by-element
23. Use MATLAB to show that the sum of the infinite series converges to 6. Do this by computing the sum for(a) , (b) , (c)For each part, create a vector n in which the first element is 1, the increment is 1 and the last term is 5, 15, or 30. Then use element-by-element calculations to create a
22. Use MATLAB to show that the sum of the infinite series converges to . Do this by computing the sum for:(a) , (b) , (c)For each part create a vector n in which the first element is 1, the increment is 1 and the last term is 5, 50, or 5,000. Then use element-by-element calculations to create a
21. The maximum distance s and the maximum height h that a projectile shot at an angle are given by:and where v0 is the shooting velocity and m/s2. Determine s( ) and h( ) for if m/s.
20. Define the vectors:, , and Use the vectors to verify the identity:Using MATLAB’s built-in functions cross and dot, calculate the value of the left and right sides of the identity.
in tghe main ime
the following matrics define
17. The following matrix is defined in MATLAB:By hand (pencil and paper) write what will be displayed if the following commands are executed by MATLAB. Check your answers by executing the commands with MATLAB.a) A=M([1,3],[2,4])b) B=M(:,[1,4:6])c) C=M([2,3],:)
16. Create the following matrix A:a) Create a matrix B from the 1st, 2nd, and 3rd rows, and the 1st through the 4th columns of the matrix A.b) Create a matrix C from the 2nd, and 3rd rows, and all the columns of the matrix A.
14. Create the following matrix A:Use the matrix A to:a) Create a five-element row vector named va that contains the elements of the first row of A.b) Create a three-element row vector named vb that contains the elements of the third column of A.c) Create a eight-element row vector named vc that
13. The following vector is defined in MATLAB:By hand (pencil and paper) write what will be displayed if the following commands are executed by MATLAB. Check your answers by executing the commands with MATLAB.a) a=v(3:6)b) b=v([2,4:7,10])c) c=v([9,3,1,10])d) d=[v([1,3 5]);v([2,4,6]);v([3,6,9])]
12. By hand (pencil and paper) write what will be displayed if the following commands are executed by MATLAB. Check your answers by executing the commands with MATLAB. (Partsb, c, and d use the vector that was defined in part a.)a) a=0:2:6b) b=[a a] or b=[a,a]c) c=[a; a]
b) Use the three vectors in a MATLAB command to create a matrix in which the columns are the vectorsa, b, and c.
a) Use the three vectors in a MATLAB command to create a matrix in which the rows are the vectorsa, b, and c.
• 10. Using the colon symbol, create a matrix (assign it to a variable named msame) in which all the elements are the number 7 11. Create three vectors:, ,
10. Using the colon symbol, create a matrix (assign it to a variable named msame) in which all the elements are the number 7.8 ⋅ 3 65 23 5tan(25°)B 0 4 8 12 16 20 24 28 69 68 67 66 65 64 63 62 1.4 1.1 0.8 0.5 0.2 –0.1 –0.4 –0.7
9. Create the matrix shown below by using the vector notation for creating vectors with constant spacing and/or the linspace command when entering the rows.
8. Create a vector, name it Afirst, that has 13 elements in which the first is 3, the increment is 4 and the last element is 51. Then, using the colon symbol, create a new vector, call it Asecond, that has seven elements. The first four elements are the first four elements of the vector Afirst, and
7. Using the colon symbol, create a row vector (assign it to a variable named same) with eleven elements that are all 4.
6. Create a column vector with 14 equally spaced elements in which the first element is 3 and the last element is –36.
5. Create a row vector with 16 equally spaced elements in which the first element is 5 and the last element is 61.
4. Create a column vector in which the first element is 18, the elements decrease with increments of –4, and the last element is –22. (A column vector can be created by the transpose of a row vector.)
3. Create a row vector in which the first element is 0, and the last element is 42, with an increment of 3 between the elements (0, 3, 6, ……, 42).
2. Create a column vector that has the elements: 44, 9, ln(51), , 0.1, and.
. Create a row vector that has the elements: 6, , 81, e2.5, , sin(π/3), and 23.05.
26. Sound level in units of decibels (dB) is determined by:where p is the sound pressure of the sound, and Pa is a reference sound pressure (the sound pressure when dB). Determine the sound pressure of 90 dB noise (noise generated by a passing truck). By how many times the sound pressure of the
25. The temperature dependence of vapor pressure p can be estimated by the Antoine equation:where ln is the natural logarithm, p is in mm Hg, T is in Kelvin, and A, B, and C are material constants. For toluene (C6H5CH3) in the temperature range from 280 to 410 K the material constants are: , , and
24. The balance B of a savings account after t years when a principal P is invested at an annual interest rate r and the interest is compounded yearly is given by. If the interest is compounded continuously the balance is given by . In one account $20,000 is invested for 18 years in an account
23. The magnitude M of an earthquake on the Richter scale is given by, where E is the energy released by the earthquake, and Joules is a constant (energy of a small reference earthquake).Determine how many times more energy is released from an earthquake that registers 7.1 on the Richter scale than
22. Fractions can be added by using the smallest common denominator. For example, the smallest common denominator of 1/4 and 1/10 is 20. Use the MATLAB Help Window to find a MATLAB built-in function that determines the least common multiple of two numbers. Then use the function to show that the
21. Radioactive decay is modeled with the exponential function , where t is time, is the amount of material at , is the amount of material at time t, and k is a constant. Gallium-67, which has a half-life of 3.261 days, is used for tracing cancer. If 100 milligrams are present at , determine the
20. The formula for changing the base of a logarithm is:a) Use MATLAB’s function log(x) to calculate .b) Use MATLAB’s function log10(x) to calculate .a bcαa = 15 b = 35(x0, y0) Ax + By + C = 0 dAx0 + By0 + C A2 + B2= -------------------------------------(3, –4) 2x – 7y – 10 = 0 Cn, r Cn,
basketball team has 12 players on the roster. Determine how many different teams of 5 players can be selected out of the 12 players. (Use the built-in function factorial.)
19. The number of combinations of taking r objects out of n objects is given by:
c) The same as partb) but round the total cost to the nearest dollar.
b) The same as part a), but add 5.75% sale tax.
a) The cost of three CDs and five books.
18. Define the following two variables:CD_price = $13.95 Book_price = $44.95 Then change the display format to bank and calculate the following by typing one command:
17. Eggs are packed in containers such that 18 are placed in each container. Determine how many containers are needed to pack 634 eggs. Use MATLAB builtin function ceil.
16. The distance d from a point to a line is given by:Determine the distance of the point from the line .First define the variables A, B, C, x0, and y0, and then calculated. (Use the abs and sqrt functions.)
b) Using c from part a), and the acosd function, calculate the angle α in degrees, typing one line in the Command Window.
a) Using the Pythagorean Theorem, calculate c by typing one line in the Command Window.
15. In the right triangle shown cm, and cm. Define a and c as variables, and then:
c) Check that the sum of the angles is 180o
b) Calculate the angles α and β (in degrees)using the Law of Sines.
a) Calculate the angle γ (in degrees) by substituting the variables in the Law of Cosines.(The Law of Cosines: )
14. In the triangle shown cm, cm, and cm. Definea, b, and c as variables, and then:
c) Check that the sum of the angles is 180o.sin3x = 3sinx – 4sin3x x2 sin-- 1 – cosx 2= --------------------x 7 20= -----πtan3x 3tanx tan x – 3 1 – 3tan2x= ---------------------------------x2 tan-- sinx 1 + cosx= --------------------x = 27°α β sin sin 12= --[ cos(α – β) – cos(α +
b) Calculate the angles α and β (in degrees)using the Law of Sines.
a) Calculate the angle γ (in degrees) by substituting the variables in the Law of Cosines.(The Law of Cosines: )
14. In the triangle shown cm, cm, and cm. Definea, b, and c as variables, and then:
13. Given: . Use MATLAB to calculate the following definite integral: .
12. Define two variables: alpha = 5π/9, beta = π/7. Using these variables, show that the following trigonometric identity is correct by calculating the value of the left- and right-hand sides of the equation.
c) Check that the sum of the angles is 180o.sin3x = 3sinx – 4sin3x x2 sin-- 1 – cosx 2= --------------------x 7 20= -----πtan3x 3tanx tan x – 3 1 – 3tan2x= ---------------------------------x2 tan-- sinx 1 + cosx
b) Calculate the angles α and β (in degrees)using the Law of Sines.
a) Calculate the angle γ (in degrees) by substituting the variables in the Law of Cosines.(The Law of Cosines: )
14. In the triangle shown cm, cm, and cm. Definea, b, and c as variables, and then:
13. Given: . Use MATLAB to calculate the following definite integral: .
For each part, verify that the identity is correct by calculating the values of the left and right sides of the equation, substituting .12. Define two variables: alpha = 5π/9, beta = π/7. Using these variables, show that the following trigonometric identity is correct by calculating the value of
. Two trigonometric identities are given by:a)b)
For each part, verify that the identity is correct by calculating each side of the equation, substituting .
10. Two trigonometric identities are given by:a)b)
b) Write one command.
a) First calculate the radius of the sphere r, then substitute the radius in the formula of the volume.
9. Calculate the volume of a sphere that has a surface area of 200 in2 in two ways:
b) Determine the length of a side of a cube that has the same volume as the sphere.
a) Determine the length of a side of a cube that has the same surface area as the sphere.
8. A sphere has a radius of 15 cm.
9. Calculate the volume of a sphere that has a surface area of 200 in2 in two ways:a) First calculate the radius of the sphere r, then substitute the radius in the formula of the volume.b) Write one command.5π6⎝------⎠cos⎛ ⎞ 7π8⎝------⎠sin2 ⎛ ⎞π6⎝-- ln8⎠tan⎛ ⎞7 + 2+
8. A sphere has a radius of 15 cm.a) Determine the length of a side of a cube that has the same surface area as the sphere.b) Determine the length of a side of a cube that has the same volume as the sphere.

Showing 1100 - 1200 of 2697

First
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
Last

MATLAB An Introduction With Applications 3rd Edition Amos Gilat - Solutions

Step by Step Answers