The steady two-dimensional temperature (7) distribution in an isotropic heat conducting materials isgiven by Laplace equation,The side lengths of the domain are I=8 and H=6.Assuming consistent units are used, boundary conditions are shown in Figure 2. Use the grid indicatedin Figure 2 to solve for the temperature distribution.H=6T=100T=50T=50T=100L=8T=40T₁T3T=40&T O'TCentral finite difference formulaf'(x)=f(x+h)-f(x-h)2hƒ"(x) = f(x+h)−2ƒ (x) + f(x−h)T=15T₂T₁T=20Figure 2 Finite difference nodal schemeबे-6x

The steady two-dimensional temperature (T) distribution in an isotropic heat-conducting material is…

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3 The equation for the instantaneous discharging capacitor is given by Vo is the initial voltage and of the circuit. The tasks are to: a) Draw a graph of voltage against time for voltage across a v=Voe, where is the time constant V₁=12V and T=2s, between t=0s and t=10s. b) Calculate the gradient at t=2s and t=4s. c) Differentiate and calculate the value of v=12e dv at t=2s and t=4s. dt d) Compare your answers for part b and part c. e) Calculate the second derivative of the instantaneous voltage d²v dt²
Do just part f urgent solution required
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A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the other end is at x = 3. The thermal diffusivity of the bar is k = 0.4. The bar's initial temperature f(x) = 50 degrees Celsius. The ends of the bar (x = 0 and x = 3) are then put in %3D an icy bath and kept at a constant 0 degrees C. Let u(x, t) be the temperature in the bar at x at time t, with t measured in seconds. Find u(x, t) and then U7 (2, 0.1). Put u (2, 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.
3 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875. Submission status. •r:or ε1) DE T-TT/-V/-E
A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the other end is at x = 3. The thermal diffusivity of the bar is k = 0.4. The bar's initial temperature f(x) = 90 degrees Celsius. The ends of the bar (x = 0 and x = 3) are then put in an icy bath and kept at a constant 0 degrees C. Let u(x, t) be the temperature in the bar at x at time t, with t measured in seconds. Find u(x, t) and then uz (2, 0.1). Put u7 (2, 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.
MacBurger's is attempting to determine how many servers (or lines) should be available during the breakfast shift. During each hour, an average of 100 customers arrive at the restaurant. Each line or server can handle an average of 50 customers per hour. A server costs $5 per hour, and the cost of a customer waiting in line for 1 hour is $20. Assuming that an M/M/s/GD/infinity/infinity model is applicable, determine the number of lines that minimizes the sum of delay and service costs. please explain step by step.
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デジタル形式で段階的に解決ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT SOLVE BY FALSE POSITION METHOD -x 5 + 6x4 + 3x3-x2+x-1 [−1,0]

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