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- Given the following function: f(x) = 2x For g(x) = Sf(x) dx, determine g(x).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 expansionSuppose that a parachutist with linear drag (m=50 kg, c=12.5kg/s) jumps from an airplane flying at an altitude of a kilometer with a horizontal velocity of 220 m/s relative to the ground. a) Write a system of four differential equations for x,y,vx=dx/dt and vy=dy/dt. b) If theinitial horizontal position is defined as x=0, use Euler’s methods with t=0.4 s to compute the jumper’s position over the first 40 s. c) Develop plots of y versus t and y versus x. Use the plot to graphically estimate when and where the jumper would hit the ground if the chute failed to open.
- 7. A system is described by the following differential equation: dy +3- dr d²y dy dx d²x dx +5. +y=- +6- + &r dt dt3 dt2 dt Find the expression for the transfer function of the system, Y(s)/X(s). [Section: 2.3]Computer Science f(x)= Sin(x) – x 3 + C Where C = Max [0.15, (69/100)] x20, (x is in radian). Apply the false position method three iterations to find the root of the function (Decide the starting values of Xl and Xu yourself)4. Given the following truth table, write an algebraic expression for the given function and simplify the expression using a Karnaugh map. A В F 1 1 1 1 1 1 1 1 1 1 1 1 1 1
- 8. A parametric equation is given by x= 3t 3t2 (Note that the denominator approaches 0 when t approaches -1) Plot the function (the plot is called the Folium of Descartes) by plotting two curves in the same plot-one y = 1+t3 1+t3 for -30Two small charged objects attract each other with a force F when separated by a distance d.If the charge on each object is reduced to one-fourth of its original value and the distance between them is reduced to d/2,the force becomes?Show that the function F(x,y,z) = xy + xz + yz will have a value of 1 if there are at least 2 variables x,y and z which have a value of 1. (using a table)SEE MORE QUESTIONS