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Exercise 1 (2 pts.): Complete the below logic table for the following logic circuit: A B O OUTPUT C A B C OUTPUT Exercise 2 (2 pts.): Complete the below logic table for the following logic circuit: OUTPUT A C O B A B C OUTPUT Exercise 3 (1 pt.): Predict the output that results when the following Matlab program executes: clear clc a = 16; b = mod (a/4,2) + 3; C = mod (b,7) - mod (a,5) d = a - b + C Exercise 4 (1 pt.): Predict the output that results when the following Matlab program executes: clear clc X = mod (13, log10 (100) ) y = mod (x, 2) Z = (x + y) ^ (x + y) * mod(3,5) Exercise 5 (1 pt.): Predict the output that results when the following Matlab program executes: clear clc X = 3; d = mod (0,x) ; f = xd + mod (x, x^d) ; g = 7*f-3^x; - h = -2*g/mod - (88,10) Exercise 6 (1 pt): Predict the output from running the following Matlab program: clear clc A = [1, 3, 5, 7, 9, 11]; B = [-3, - - .6, 9, 12, - -15, 0]; C = 2*A + B/3 D = C - 6 + (B - A) EE = A + B - C + D Exercise 7 (1 pt): Predict the output from running the following Matlab program: clear clc A = [2, 10, 3, -4, 6, -1]; A = A - A; B = A - 2*A; C = A + 5; A + B + C Exercise 8 (1 pt): Predict the output from running the following Matlab program: clear clc A = [5, 1, 2, 3, 7, 6]; B = A.^2 C = [16, 64, 81, 49, 4, 9]; D = B - sqrt (C) + A; E = D Exercise 9 (1 pt): Predict the output from running the following Matlab program: clear clc A = [-1, - -1, - -2, 0, 0, -2); - B (6) = O ; B (2) = - -2; B (1) = 2; C = A. . A 2 + 2*B; C = C - A. . ^3 Exercise 10 (1 pt): The following Matlab program may or may not produce an error when run. If running the program produces an error, circle the location in the program where the error occurs and state why the error occurs. If running the program does not produce an error, then predict the output from running the program. clear clc A = [2, 4, , 6, / 8, 10] i B = 2*A + 1i C (0) = B (1) - A (3) C ( 1) = 2.0*B . (3) - A (2) C (3) = A ( B (1) ) INTRODUCTION: The impact velocity of an object falling freely under the influence of gravity, and also experiencing air resistance (drag), is calculated as: -2gh Vimpact = Vterm 1.0 - exp V2 term where: 2mg Vterm = CpA and: Vterm = terminal velocity (m/s) Vimpact = impact velocity (m/s) m = mass of object (kg) g = acceleration due to gravity (9.8 m/s²) h = height above the surface of the Earth from which the object is dropped (m) C = coefficient of drag (typically equal to 0.50 for a sphere) (unitless) A = cross sectional area of falling body = rr2 for a sphere (m) p = density of air at height h (kg/m³) PROBLEM: Write a Matlab program to calculate the impact velocities of a 25 kg. steel sphere with a diameter of 10 centimeters that is dropped from heights of 500, 750, 1000 and 1500 meters. Assume a constant air density of 1.0 kg/m³ for all heights. Report the calculated impact velocities to two decimal places (truncate, do not round). MATLAB PROGRAMMING EXERCISE Exercise 12 (4 pts): THIS IS A MATLAB PROGRAMMING EXERCISE: INTRODUCTION: The speed (meters/sec) of sound in sea water, C (meters/sec), is a fundamental quantity interest for underwater systems such as sonar. The UNESCO standard reference model by Chen and Millero 1,2 is frequently used to model the speed of sound in sea water. The first term of that equation is the contribution of pure water to the speed of sound in sea water (the other terms model various other contributions due to salinity, etc.). If we consider only the pure water contribution (i.e., the zero salinity limit) and neglect higher order pressure contributions, then the speed of sound in sea water, C (meters/sec), can be written as follows: c=Cw where, Cw=Coot Co1T + C02T² + C03T³ + Co4T'4 + C05T5 + (C10 + C11T + C12T2 + C13T3 + C14T4)P and, PARAMETER VALUE Coo 1402.388 C01 5.03830 Co2 -5.81090E-2 C03 3.3432E-4 C04 -1.47797E- 6 C05 3.1419E-9 C10 0.153563 C11 6.8999E-4 C12 -8.1829E- C13 1.3632E-7 C14 -6.1260E-10 with temperature T in degrees Celsius, and pressure P in bars. PROBLEM: Using the above equation for the speed of sound in sea water, C (meters/sec), calculate C for the following conditions: TEMPERATURE (T) PRESSURE (P) C (meters/sec) 15°C 1 bar 27°C 1 bar

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