Problem 4 (25 points) ) For both analytical curves (a and b) find the expression of...
Problem 4 (Analytical and Computational-20 points) Given a second-order ordinary differential equation: d2f(t) df(t) with the following initial conditions: (O) 1 and ait 0 (Analytical-10 points) Express Equation (1) in state-space form. Cleary write down the A, B, C, and D matrices. Then find the state transition matrix and determine the solution for f(t) if the input function r(t) is a unit step function. a) b) (Computational-10 points) Write a MATLAB-Simulink program to find the computational solution for f(t) in...
48. Connecting Graphs and Equations The curves on the graph below are the graphs of the three curves given by 4x+ 5 = + 2x - x +3 y3= x3 - 2125x2 15 10 5 T T -21 -5-4 34 5 1 -5 -10 (a) Write an equation that can be solved to find the points of intersection of the graphs of yi and y2. (b) Write an equation that can be solved to find the x-intercepts of the graph...
a. Find all the intersection points of the following curves. b. Find the area of the entire region that lies within both curves. r = 7 + 7 sin 0 and r = 7 + 7 cose a. Identify all of intersection points. (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer, using a as needed.) b. The area of the entire region that lies within both curves is (Type an exact answer.)...
4. [25 POINTS]Use separate graphs to draw indifference curves for each of the following utility functions: (a) 6 POINTS] U (x, y) = min{2x + y, 2y + x}. (b) [6 PoINts] U (x,y) = max{2.x + y, 2y + x}. (c) 6 POINTS] U (x,y) = x + min {x, y}. (d) 7 POINTS] In which of these cases are preferences convex? 4. [25 POINTS]Use separate graphs to draw indifference curves for each of the following utility functions: (a)...
please answer both questions Problem 3 (20 Points) There is no energy stored in the circuit fort <0. Use the Laplace transform to find the time domain expression for vo(t). 2002 2002 200u(t) V 10 MF 3400 mH Problem 4 (20 Points) For each circuit, calculate the transfer function, the poles of the transfer function 1204F and the zeros of the transfer function. 2 k2 20 MF 2k9 (b) 250 kA 125 mH 1) 125 mHg 250 0} (c) 800...
Problem #5 (20 points) For the circuit show below determine: a) The s-domain expression for V. b) The time-domain expression for v (t) for t> 0. 7Ω + 15u(t) A 311 0 .1F v
Problem 5 (20 points) No energy is stored in the 100 mH inductor or the 0.4 LF capacitor when the switch in the circuit shown in figure below is closed. 0.1 H -O 2800 0.4 F 50 V uc Fig. 5 a) Find the values of a and co b) What is the type of circuit response for t>0? c)What is the initial voltage across the capacitor at t=0- and at t=0+? d) Find an expression for the current through...
Problem 4: [10 Points A LTIC systems has impulse response as showm betlow t h(t) Using analytical or graphical convolution, find and sketch the system's output yto if the input x (t) is: x(t):#6(t) _ 26(t-1)[31 a) b) x(o) - rect ()17 Solution: Problem 4: [10 Points A LTIC systems has impulse response as showm betlow t h(t) Using analytical or graphical convolution, find and sketch the system's output yto if the input x (t) is: x(t):#6(t) _ 26(t-1)[31 a)...
Problem 4 (25 points) In the circuit below find V 40 for o.
1. (25 points) Find the area of the region bounded by the given curves by two methods: (a) integrating with respect to x, and (b) integrating with respect to y 4x + y2 = 0, y = 2x + 4