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Consider a 20-cm-thick large concrete plane wall (k = 0.77 W/mK) subjected to convection on both sides with T1 = 27 Co and h1 = 5 W/m2K on the inside, and T2 = 8 Co and h2 = 12 W/mK on the outside. Assuming constant thermal conductivity with no heat generation and negligible radiation:
(a) Express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the wall,
(b) Obtain a relation for the variation of temperature in the wall by solving the differential equation.
(c) Evaluate the temperatures at the inner and outer surfaces of the wall.
Let A be a symmetric and positive definite (SPD) matrix. Is A^-1 ( inverse of matrix A) a SPD matrix? If so, prove it. If not, explain and give an example.
If q is the number of quarts of lemonade ,than 1/4q can be used to find the number of cups of lemonade mix needed to make the lemonade. How muck mix is needed to make each amount of lemonade? 2 quarts, 8 quarts, 12 quarts, 18 quarts
Verify that the Fourier Isometry holds on [-π, π] for f(t) = t. To do this, a) calculatethe coefficients of the orthogonal Fourier series from the orthogonal series representation, b)calculate the sum of the squared coefficients, and c) Calculate the..
Tom, Dick, and Harry have an average (arithmetic mean) of 120 baseball cards. Tom has 1½ as many cards as Dick, and Harry has ½ as many as Dick. How many baseball cards does Tom have?
Find an expression for g(x) similar to the one for f(x). Sketch the graphs of f and g. Where is f differentiable? Where is g differentiable?
Another worker (worker 2) produces at an average rate of 65 per day with a standard deviation of 21. What is the productivity that during one week (5 working days) worker 1 will produce more than worker 2?
The price paid by Brady Investment Corp resulted in Brady having a 7% annual yield on their sixteen-year investment. Find the price that Brady Investment Corp paid Stewart Financial Enterprises.
A hemisphere of radius 7 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
Write f(t) in terms of the Heaviside (step) function u∗, and then solve the following initial value problem using Laplace Transforms
while john is traveling along an interstatehighway he notices a 166 mi marker as hepasses through town. later john
What is the marginal cost of oil production. What is the marginal revenue for oil production. Find the production level that maximizes profit.
Basic arithmetic problem - What is the overall percentage of five test grades: 96%, 98%, 89%, 95% & 97%? I need the work shown. If I took five tests and passed with the following percentages:
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