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2.5 2 1.8 0.5 O -05 -18 FIGURE 2. Figure for Problem 5. 5. (5 pts)...
Needing help understanding part C! Thank you. 4. 3 2.5 2 1.5 1 0.5 0 -0.5 -1 -1.5 FIGURE 2. Figure for Problem 5. 5. (5 pts) Let f(x,y) be a smooth function with Vf(0,0), V fz (DU) and Vfy(0. OẢ, OB and OČ in Figure 2. The x, and y-axes are horizontal and vertical, res- (a) Computs the directional derivative fob(0,0). (b) Is there a direction in which the rate of change of f at (0,0) is –2.5? Circle...
Exercise 1. Tangent plane (15 pts) Let (5) be the surface given by the following equation. x2+y2 = 1+z2 An equation of the tangent plane to (S) at A(1,2,2) is: a. 2x + 4y – 4z = 1 b. x + y - z=0 c. x + 2y – 2z = 1 d. x + y - z = 2 e. None of the above a. b. C. O d. e. Exercise 2. Directional derivative (6 pts + 9 pts)...
3. (5 pts) Use the contour diagram of f in Figure below to decide if the specified directional derivative is positive, negative, or approximately zero Y 3 2 1 -2 3 1 2 3 -3 -2 -1 (a) At the point (-2,2), in direction i. (b) At the point (0,-2), in direction j (c) At the point (-1,1), in direction i+j. (d) At the point (-1,1), in direction -i+ j. (e) At the point (0, -2), in direction i- 2j.
02 +Vo D3 Rgare 18 Circuit for Problem 1 Analysis 1. Copy the circuit of Figure 1.8 and sketch the ow of pesitive curment throughout the entire circuit for o>0. Repeat for n ce 2. Plot two periods of nlt) and s) for each of the thee input wave shown in Figune 17 on page 37 fom output t (a) Feak value, and b) Eflective DC value, also known as RMS value NotTE These and are therefore optional 4. Determine...
Given: y Тр Cross Section 14 in 2.5 in 18 in The circular steel rod shown above is fixed at point A and has torques and axial loads applied at points B and C, as well as a vertical load at C. The magnitudes of the loads are given below, while the direction of the forces is depicted in the figure. In addition, the cross section of the rod is given with its relevant properties. Finally, the shear and moment...
Problem 24: (18 points) 1. (6 points) Figure 2 shows an RC circuit with input f(t) and output y(t) Function Generator R, v, (r) y1) Figure 2: RC circuit. (a) (1 point) Sketch the circuit in the phasor domain by replacing the capacitor with its impedance represen- (b) (3 points) Using circuit analysis techniques, show that the frequency response function is Specify the DC gain, K, and the time constant, T, in terms of the parameters R, R, and C...
The six-bus system shown in Figure 1 will be simulated using MATLAB. Transmission line data and bus data are given in Tables 1 and 2 respectively. The transmission line data are calculated on 100 MVA base and 230 (line-to-line) kV base for generator. Tasks: 1. Determine the network admittance matrix Y 2. Find the load flow solution using Gauss-Seidel/Newton Raphson method until first iteration by manual calculation. Use Maltab software to solve power flow problem using Gauss-Seidel method. Find the...
cannot figure out how to write the integrals for this problem #2 1. If glx) -2x and fx) - , find the area of the region enclosed by the two graphs. Show a work for full credit. (4 pts) 2. A:12-80% 3 3 2 Let fix)-. Let R be the region in the first quadrant bounded by the gruph of y - f(x) and the vertical line x # l, as shown in the figure above. (a) Write but do...
Question I.5 Figure 1.5 shows a frame with loads at A and D. Select the closest value for the magnitude of the total reaction at B. Assume the weight of the frame is zero. 40 kN VE 96.2 kN (a) (Ь -40 kN 5 m (c) -87.5 kN 30 kN (d) 57 kN 4m ao 1 m (e) 50 kN Figure L.5 Low mass frame Question I.6 In the shear and bending moment equations for beams, which of the following...
2. Consider a mass m moving in R3 without friction. It is fasten tightly at one end of a string with length 1 and can swing in any direction. In fact, it moves on a sphere, a subspace of R3 1 0 φ g 2.1 Use the spherical coordinates (1,0,) to derive the Lagrangian L(0,0,0,0) = T-U, namely the difference of kinetic energy T and potential energy U. (Note r = 1 is fixed.) 2.2 Calculate the Euler-Lagrange equations, namely...