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- create a karnaugh map of three variablesA force F₁ of magnitude 6.10 units acts on an object at the origin in a direction 8 = 54.0° above the positive x-axis. (See the figure below.) A second force F₂ of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the magnitude and direction of the resultant force ₁ + ₂. units magnitude direction F₂ counterclockwise from the +x-axisDESIGN ACTIVITY 3: GAUSS-NEWTON Fit the function f(x; ao, a1) = ap(1 - ea1k) to the data: 0.25 0.28 0.75 1.25 0.68 1.75 2.25 0.79 y 0.57 0.74 Use initial guesses of a, = 1.0 and a, = 1.0 for the parameters. Note that for these guesses, the initial sum of the squares of the residuals is 0.0248 Show your outputs in terms of the following: 1. Paper computation and solution 2. Excel data tabling 3. Matlab code w/ results Hint:The partial derivatives of the function with respect to the parameters are: af = 1-e-a1x dao af = agxe-a1x да,
- Electromagnetic Pulse propagating at oblique angle to a dielectric interface Consider a gaussian wave pulse propagating along the z-axis from region 1 with refractive index n1 and onto a dielectric interface y = m z (for all x). To the left of this dielectric interface, the refractive index is n2. Devise an initial value computer algorithm to determine the time evolution of the reflected and transmitted electromagnetic fields for this pulse. e.g., n1 = 1 , n2 = 2 initial profile (t = 0, with z0 < 0) Ex = E0 exp[-a (z-z0)^2] By = n1 * Ex Choose parameters so that the pulse width is at least a fact of 8 less than the z- domain of integration ( -L < z < L). For the slope of the interface, one could choose m = 1.Let t = 1 and use R or another computer program to plot the solution at z = 1 as a function of time for diffusion coefficients D = 10-3 and D = 10-0, Comment on the concentrations you obtain.f(x) = sin (z*) %3D • Plot the function and a linear, quadratic and cubic Taylor series approximation about x=0 for x= 0 to 1.5 on the same plot. • Plot the function and a linear, quadratic and cubic Taylor series approximation about x=0.5 for x= 0 to 1.5 on the same plot.
- matlab codes for thisProblem 2 You are studying photoresistors - devices in which the electrical resistance changes in the presence of light. You run an experiment with three resistors - A, B, and C - at various distances from a light source. Write a Matlab program that produces a professional plot of the data. Use the polyfit() func- tion to find the trendline coefficients assuming a power model. Include all three trendlines and equations on the figure. Find appropriate locations for the equations. Distance (d) [m] A (R) [N] | B (R) [N] | C (R) [N] 1 79 150 460 3 400 840 2500 6. 1100 2500 6900 10 2500 4900 15000Use Matlab to plot the function range 0Plots the given vectors on a normal chart with logarithmic x axis and linear y axis, X = [10, 100, 1000, 10000] , y=[15,26,48,12].draw these functions(A) Write a user-defined MATLAB Function for the following math function: Z(x, y) = e* cosy + sin(x2 - y) The input to the function are x and y, the output is Z. Write the function such th-t- be a vector. (i) Use the function to calculate Z(-3,4) and Z(5,-7). (ii)Use the function to make a 3D plot of the function Z(x.y) for -aSEE MORE QUESTIONSRecommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education