Using Matlab, find the positive minimum point of the function f(x) = x^-2 * tan(x) by computing the zeros of f' (derivative of f) using Secant's method

Simplify the equation using the deMorgan's Theorem

Using the three-variable Karnaugh-map below Solve for its corresponding function expression Replot the function from part (1) on a different three-variable Karnaugh-map (Hint: try a different combination of variables)

Using MatLab to code the exponential equation symbolically, use the built in integral function, int( ) to find the kilo-Watt-hours produced in a day: f(t) = e(-t-12)/(1.5*root(2pi)

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Develop a Matlab function that finds a root of a function f(x) starting from the given initial estimates (-1) and (0) with a tolerance in function of at least OK using the secant method. Name the function mySecant using as input the anonymous function f, the initial estimates xm1 and x0, the maximum number of iterations to perform N, and the required tolerance in function epsok. As output, the function shall return four scalar variables: the numerical solution x, its tolerance in function tolFunc, its estimated relative error ere, and the number of iterations performed n. If the requested tolerance in function cannot be reached within N iterations, the function shall execute Matlab's error ("...") function with an appropriate error message. Other than this potential error message, do not print out any results to screen or do any plotting within the function. You must minimize the number of function calls required per iteration, by storing function call results in temporary storage...

1. Given the following truth table: с F 1 A В 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 a) Write down the minterm expansion for the function F b) Draw the K-Map using the minterm expansion

f(x) = -1.26 – 1.5x + x2 Find the root of the function by using one of the open methods or bracket methods with relative errors ea smaller than the maximum relative error ea = 0.001% (using matlab)

Using MATLAB Coding, solve the systems of linear equations using matrix algebra involving Gauss-Seidel Method: 6x - 4y + 2z = 2-12x +12y -14z = 14 -6x +8y -8z = 12 Note: Please give comments/guide of the process.

2. calculates the trajectory r(t) and stores the coordinates for time steps At as a nested list trajectory that contains [[xe, ye, ze], [x1, y1, z1], [x2, y2, z2], ...]. Start from time t = 0 and use a time step At = 0.01; the last data point in the trajectory should be the time when the oscillator "hits the ground", i.e., when z(t) ≤ 0; 3. stores the time for hitting the ground (i.e., the first time t when z(t) ≤ 0) in the variable t_contact and the corresponding positions in the variables x_contact, y_contact, and z_contact. Print t_contact = 1.430 X_contact = 0.755 y contact = -0.380 z_contact = (Output floating point numbers with 3 decimals using format (), e.g., "t_contact = {:.3f}" .format(t_contact).) The partial example output above is for ze = 10. 4. calculates the average x- and y-coordinates 1 y = Yi N where the x, y, are the x(t), y(t) in the trajectory and N is the number of data points that you calculated. Store the result as a list in the variable center = [x_avg, y_avg]...