I (x)=-4+22e-0.038x Find the initial temperature of t Round your answers to the nea Initial temperature:
Find the temperature u(x, t) in a rod of length L if the initial temperature is f(x) throughout and if the ends x = 0 and x = L are insulated. Solve if L = 2 and f(x) = Jx, 0<x< 1 10, 1<x< 2. ux, t) = + ŠL n = 1
Find the value x for which: (Use Table 4). (Round your answers to 2 decimal places.) x a. P(F(7,10) ≥ x) = 0.050 b. P(F(7,10) ≥ x) = 0.010 c. P(F(7,10) < x) = 0.050 d. P(F(7,10) < x) = 0.010
solve for An as well! Find the temperature function u(x,t) (where is the position along the rod in cm and t is the time) of a 6 cm rod with conducting constant 0.2 whose endpoint are insulated such that no heat is lost, and whose initial temperature distribution is given by: 4 if 1 x < 4 u (х, 0) — 0 otherwise To start, we have L =6 0.2 Because the rods are insulated, we will use the cosine...
3. An infinite bar has initial temperature distribution: T(x,0)-T0 [s(x-l) +δ(x + 1)] Find T(x,t) for >0. The free space Green's function for the 1-D diffusion equation is G(x -x)- e 4DI 4TDt
5." 9 sin(x) dx. (Round your answers to six decimal places.) (a) Find the approximations T10, M10, and S10 for T10- M10 = S10= Find the corresponding errors ET, Em, and Es. (Round your answers to six decimal places.) ET= EM= Es= (b) Compare the actual errors in part (a) with the error estimates given by the Theorem about Error Bounds for Trapezoidal and Midpoint Rules and the Theorem about Error Bound for Simpson's Rule. (Round your answers to six...
a) Find the initial temperature (T, 2) of 10kg of copper which was submerged in 40 kg water with initial T-20c° The final temperature of the mixture is Ti -40c Use m (Ti-Te)+Tr Cimu (Note: copper lost T with m 10Kg; C-390 J/Kg co; & water gained T with m 40Kg, C 4190 J/Kg c, Te-20c°) b) Find the volume of the used copper (Vcopper -(Mass of copper/D m-copper , Dn-copper - 8960 Kg/m ) What is the buoyant force...
Find the value x for which: (Round your answers to 3 decimal places. You may find it useful to reference the appropriate table: chi- square table or F table) a. P X22x)-0.010 x0.010 d. P( X20<x)-0.025
(a) Find the approximations T10 and M10 for 27e1/x dx, (Round your answers to six decimal places.) T1о3 M10 X (b) Estimate the errors in the approximations of part (a). (Round your answers to six decimal places.) |ETI |EMI S (c) How large do we have to choose n so that the approximations Tn and Mn to the integral in part (a) are accurate to with in 0.0001? for Tn n = for M n = (a) Find the approximations...
ter algebra system x'=(1-4 (a) Find the solution of the given initial value problem x(t) 4 -7 6
Please provide very detailed steps Find the temperature u(x, t) in a bar of length T with thermoconductivity coefficient c2 1 (all the quantities are non-dimensional) under adiabatic boundary conditions (zero heat flux) at ends of the bar if the initial tem- perature u(z, 0) . 130 cos(3x) Find the temperature u(x, t) in a bar of length T with thermoconductivity coefficient c2 1 (all the quantities are non-dimensional) under adiabatic boundary conditions (zero heat flux) at ends of the...