Linear Operators and Polar Coordinates
Please see the attached file for the fully formatted problems.
Schrodinger Eigenfunction Equation Coefficients
Consider the Schrodinger eigenfunction equation: - 2 + V = k2 x2 Where k > 0 V (x) = 0 if x > a V (x) = -V0 if 0 < x a V (x) = + if x 0 Also assume that for x > a: (x) = Ae-ikx + Beikx Show that we must have |B| = |A| and find &# ...continues
Feasible or not feasible solutions
1. Linear Programming Properties Which of the following statements is not true? a) An infeasible solution violates all constraints. b) A feasible solution point does not have to lie on the boundary of the feasible solution. c) A feasible solution satisfies all constraints. d) An optimal solution satisfies all constraints ...continues
See attached file for full problem description. 13. Diet Mix Problem 1 The dietician for the local hospital is trying to control the calorie intake of the heart surgery patients. Tonight's dinner menu could consist of the following food items: chicken, lasagna, pudding, salad, mashed potatoes and jello. The calories per s ...continues
Quantum Mechanics Multiple Choice
True/False Indicate whether the sentence or statement is true or false. ______ 1. In computer mathematical simulation, a system is replicated with a mathematical model that is analyzed with the computer. ______ 2. Random numbers generated by a mathematical process instead of a physical process are pseudorandom numbe ...continues
True/False Indicate whether the sentence or statement is true or false. Question 1 Management science involves the philosophy of approaching a problem in a subjective manner. Question 2 Once management scientist makes his or her decision and recommendation to management, then typically, his or her involvement with the ...continues
Speed and Distance : Pursuit Problem
a. Given that v = u + at and s = ut + ½ at^2 show that v^2 = u^2 + 2as b. In a 1500 meter race runner A sets off at a speed of 6.25 m/s and runner B at a speed of 4.39 m/s i) Calculate the distance at which runner A laps runner B ii) If runner B has to finish the race in 5 mins or under, calculate how fast he ne ...continues
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Slope of Incline, Power and Energy
a. A tank of mass 80 metric tons is travelling at a uniform speed of 54 KM/hr on a level terrain. It then starts travelling uphill on an incline of 1 in 10 (sine slope). Calculate the extra power required from the engine in megawatts to maintain the same speed on the incline. b. When it has travelled 100m up the incline the d ...continues
Applications of Quadratic Equations : Mortar Shell
A Mortar shell fired with an angle of elevation of 52 degrees has a range of 2.1 km. Neglecting air resistance determine: 1 – The time of the flight 2 – The shell’s initial velocity 3 – The shell’s range and height 30s after firing 4 – The other range at which the height was the same as calculated in part (3) above. ...continues
