Problem 6: (Continuation of the previous problem) Determine the temperature u(x, t) of a 25 cm longmetal bar in point å at the moment of time t > 0. The initial temperature is u(x, 0) = x, when0 < x < 25 cm, the end points are insulated (there is no flux through the end points) and the materialparameter is a² = 1.

To determine the temperature u(x, t) of the 25 cm long metal bar at a point x at the moment of time…

Answered: Problem 6: (Continuation of the…

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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Day traders typically buy and sell stocks (or other investment instruments) during the trading day and sell all investments by the end of the day. The following table shows the closing prices on September 22, 2015, of 12 stocks selected by your broker, Prudence Swift, as well as the change that day. Tech Stocks Close Change AAPL (Apple) $113.40 -1.81 ADBE (Adobe Systems) $84.66 1.34 EBAY (eBay) $25.61 -0.31 MSFT (Microsoft) $3.90 -0.21 S (Sprint) $4.40 0.02 WIFI (Boingo Wireless) $8.51 0.56 Non-Tech Stocks ANF (Abercrombie & Fitch) $21.81 -0.02 в (Воeing) $133.99 -2.03 F (Ford Motor Co.) $13.91 -0.40 GE (General Electric) $25.10 0.01 GIS (General Mills) $57.12 0.33 JNJ (Johnson & Johnson) $93.26 0.13 On the morning of September 22, 2015, Swift advised you to purchase a collection of three tech stocks and two non-tech stocks, all chosen at random from those listed in the table. You were to sell all the stocks at the end of the trading day. (a) How many possible collections are possible?…
11. A tank contains 100 gallons (gal) of water and 50 ounces (oz) of salt. Water containing a salt concentration of (1 + sin t) oz/gal flows into the tank at a rate of 2 gal/min, and the mixture flows out at the same rate. Write an initial value problem for the amount of salt in the tank at any time t.
2 A truck moves with positive velocity v(t) from time t = 3 to time t = 15. The area under the graph of y = v(t) between 3 and 15 gives (A) the velocity of the truck at t = 15 (B) the acceleration of the truck at t = 15 (C) the position of the truck at t = 15 (D) the distance traveled by the truck fromt = 3 to t = 15 (E) the average position of the truck in the interval from t = 3 to t = 15
Solve the IVP: y" + y' = 0 y(n) = 0, y'(1) = 2, y'"(T) = -1
Find the solution of the given initial value problem: y(t): = y"+y' = sec(t), y(0) = 11, y'(0) = 5, y"(0) = -6. -(t cos(t))+ 6 cos(t) +5 sin(t) + ln(tan(t) + sec(t))+ ln(cos(t)) sin(t) + 5 X
Find the steady periodic solution X sp(t) = C cos (@t-α) of the given equation mx'' + cx' + kx = F(t) with periodic forcing function F(t) of frequency @. Then graph xsp (t) together with (for F(t) comparison) the adjusted function F₁ (t)= mw x'' + 12x' + 11x = 9 cos 2t
Please show all work!! This most likely is made to be a probelm about mx''+bx'+kx=f(t) m = mass b = friction k = spring constant
4. (a) Solve the IVP for y(t): y" + 4y = 3 8(t – n), y(0) = 0, y' (0) = 0 (b) 2n. Be sure to label your graph so that the period and amplitude of any oscillations are clearly identified. Graph the solution y(t) from part (a) versus t, for values of t between 0 and
As a spring is heated, its spring "constant" decreases. Suppose the spring is heated so that the spring "constant" at time t is k(t) = 9-t N/m. If the unforced mass-spring system has mass m = 2 kg and a damping constant b = 1 N-sec/m with initial conditions x(0) = 2 m and x'(0) = 0 m/sec, then the displacement x(t) is governed by the initial value problem 2x" (t) +x' (t) + (9 − t)x(t) = 0; x(0) = 2, x'(0) = 0. Find the first four nonzero terms in a power series expansion about t = 0 for the displacement. x(t) = ☐ +... (Type an expression that includes all terms up to order 4.) k(t)=9-t mrr 1 N-sec/m 2 kg heat x(t) x(0)=2 x'(0)=0

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