Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.) df (t) +f(t) x sin(t)=0 dt f(0)=0.8. What is f(t=3.7)? 0.120 ○ 0.126 ○ 0.491 0.847 0.635 ○ 0.695
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- QUESTION 2 Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.) d²x(t) dt² x(0)-1, +x²=0 dx dt #L- =1. =0 What is dx/dt (t=2.5)? -0.217 -1.32 0.432 0.556 -0.485 ○ 0.120QUESTION 4 Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.) do (t) dt - cos = sint 0(0)=0. What is e(t=4.1)? ○ 0.871 -0.212 1.44 1.28 2.01 3.19Use Newton's Law of cooling to determine the k value in air temperature of 40 degC. If 30 mins ago the boy was 150 degC and 10 mins age it was 90 degC Select the correct response: 0.0394 0.0562 -0.0562 -0.0394 none of the choices
- QUESTION 2 Consider the following dataset and separator. What is the width of margin (distance between the two paralel lines )? Please use real numbers instead of rations. Eg, f your result is1/2, enter 0.5 w.x+b = +1 w.x+b =0 w.x+b= -1 2.0 0. 05 VW.wIn your biomechanical testing lab, you perform a series of compression tests to determine the relationship between apparent bone density (p, units of g/cm³) and ultimate stress (ơult, units of MPa). Using the set of experimental measurements below, write an m-file to fit a power relationship of the form O uli = Ap to the data. Use the log transform method to linearize the system and data, followed by linear regression. Plot the data points and the power relationship on a single plot. Be sure to label your axes and provide a legend. Provide a printout of your m-file and a printout of the command window showing your results. Write down the best fit equation and box it. 8.76 5.25 4.26 5.51 3.88 18.45 2.09 13.72 5.42 2.17 Oult (MPa) p (g/cm³) 0.598 | 0.459 0.319 | 0.235 0.141 0.754 0.177 0.553 0.394 0.246The orthographic views of an object are shown below. a) Draw its isometric drawing using a pencil. Provide all important dimensions on your isometric drawing. b) You need to take pictures of all main steps and need to provide a step-by-step method to draw isometric drawing accompanied by pictures. 307303030 | 20 60 15 15 55 30 20 60 + 27.5 4 25 47.5 25 R20 20 T 15 60 016 120 R30 120 120 30
- mathforadmi..2dff1dd723 PTU Kadoorie sygini 1930 Technical Department of Applied Mathematics Second Semester 2020/2021 Math for Administration Assignment 2 Question 1 For the function: y = 0.01x- 0.001x² Find the zeros, the vertex and the optimum value (max. or min.) Question 2 Suppose a company has fixed costs of $300 and variable 3 costs of x + 1460 dollars per unit, 4 where x is the total number of units produced. Suppose further that the selling price of its product is 1500 X- ♡ lar Fine break-even points. init. II جامعة Palestine ||PartII Say you've deployed a robot that can can measure electric field due to specified charge at the specified location with good accuracy. And you got these results from the robot: Electric field due to q2 at point p1 is (-1667.0) i + (18340.0) j Electric field due to q3 at point p1 is (-2496.0) i + (–1628.0) j Electric field due to q1 at point p2 is (-6311.0) î + (2470.0) } Electric field due to q2 at point p2 is (-11585.0) î + (–6951.0) ĵ Electric field due to q3 at point p2 is (4657.0) î + (11310.0) } c) Find the net Electric field at pj .T'sec In helical spring experiment a student plotted the graph of T2 versus the oscillating mass (M), and Used the slope to find the spring :constant, the value of k is 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 O. O a. 13.3 N/m O b. 6.8N/m O c. 5 N/m O d. 3.3 N/m O e. 24 N/m 5 10 15 20 25 30 35 40 45 50 55 60 65 M (9) 70 75 80
- Table Error function (erf) values erf (z) erf (2 erf (z) 0.55 0.5033 13 0.9340 0.025 0.0282 O 60 0.6039 14 0.9523 0.05 0.0564 0.05 0 6420 15 0.9001 0.10 0.1125 0.70 0 6778 0.9703 16 0.15 0.1080 0.75 0.7112 1.7 0.9838 0 20 0.2227 080 07421 18 0.0091 025 0 2703 0.85 0.7707 1.9 0.0028 0.30 0.3290 0.90 0.7969 20 0.9953 0.35 03704 0.95 0.8200 22 0.9981 040 0.4284 O 8427 O 8802 1.0 24 0.9903 0.45 0.4755 11 2.6 0.0098 0 50 0.5205 12 0.9103 28 0 9990 A 1010 steel is to be carburized using a gas atmosphere that produces 1.0% Cat the surface of the steel. The case depth is defined as the distance below the surface that contains at least 0.5% Č. If carburizing is done at 1000 C, determine the time required to produce a case depth of 0 234 mm. For the diffusion of Garbon in FCC iron Q - 137.7 kJ/mol and Do = 0.23 x 10 m²/s. The gas constant is R- 8.314 J/(mol - K). Assume that the diffusion coefficient D remains constant and the concentrations of the diffusing atoms at the surface (c.) and at…Q8): To find how much heat is required to bring a kettle of water to its boiling point, you are asked to calculate the specific heat of water at 61°C. The specific heat of water is given as a function of time in Table below. Temperature, T Specific heat, C₂ (°C) J kg-°C 22 42 52 82 100 4181 4179 4186 4199 4217 Determine the value of the specific heat at 7=61°C using the direct T method of interpolation and a third order polynomial. Find the absolute relative approximate error for the third order polynomial approximation (Lagrange Method).4:07 3G l. Moodle A bbb2.du.edu.om EE ...Session (15-3- Said Grami O College of Engineering Vision for the Future Question 3 During a step function calibration, a first-order instrument is exposed to a step change of 200 units. 1- If after 1.5 s the instrument indicates 140 units, find the instrument time constant. 2- find the error in the indicated value after 2 s S. 3- Find the raise time at 90 % of the system. y(0)=0 units; K=1 unit/unit. Question 4 A first order instrument with a time constant of 2 seconds is to be used to measure a periodic input. If a dynamic error of ±2% can be tolerated, 1- determine the maximum frequency of periodic input that can be measured. 2- What is the associated time lag (in seconds) at that frequency? MECH374: Instrumentation and Measurement Said Grami Practice