We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
te tt 9 Let S be the surface defined by r2 y-22= 1 and 0 15 points by the normal direction toward the z-axis. Find the flux of the velocity field V 1and oriented (z2-ry2)i+(2.2y -yz2)j+ (y2z- 2r2)k across S Solution. To use Gauss Theorem, define C and C2 such that C1 {(a, y, z ) | a + y? < 2, z = 1} C2={(r,y,)| +y1.0} 11 TALK X W P S ww F6 & # 2 3 4...
Consider the differential equation: -9ty" – 6t(t – 3)y' + 6(t – 3)y=0, t> 0. a. Given that yı(t) = 3t is a solution, apply the reduction of order method to find another solution y2 for which yı and y2 form a fundamental solution set. i. Starting with yi, solve for w in yıw' + (2y + p(t)yı)w = 0 so that w(1) = -3. w(t) = ii. Now solve for u where u = w so that u(1) =...
3. Given the circuit in Figure 3, find v(t) for all t>0. t=0 v(t) 4 A 20 22 60 Ω 0000 15 H 1/30 F HL
(3 points) Maximize the function P = 7x – 8y subject to x > y > 6x + 5y = ( 10x + 2y > ΛΙ ΛΙ V 0 0 30 20 What are the corner points of the feasible set? The maximum value is and it occurs at . Type "None" in the blanks provided if the maximum does not exist.
6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0<x<a, 0<t (2') u(0,y, t)-gi(v), u(a,y,t)-89(v) 0 <y<b, o<t (3) Show that the steady-state solution involves the potential equation, and indicate how to solve it. 6. Suppose that, instead of boundary conditions Eqs. (2) and (3), we have u(x, o, t) -f^(r), u(r, b, t)() 0
3. An LTIC system is specified by the equation (D2 9)y(t) (3D 2)x(t) Assume y(0)3,y(0) 6 d) What is the characteristic equation of this system? e) What are the characteristic roots of this system? f Determine the zero-input response yo(t). Simplify your answer 3. An LTIC system is specified by the equation (D2 9)y(t) (3D 2)x(t) Assume y(0)3,y(0) 6 d) What is the characteristic equation of this system? e) What are the characteristic roots of this system? f Determine the...
There is a 4nC located at the position (2m,0) and a -6nC charge located at (0,3m). What is the electric potential V at the origin? Ov = (9:10") (1z10 9 (9x10°) (6:10) 2 + = 18 + 18 = 36J/G 3 (9410') (4x 10) (9210) (-6310) V + = 18 - 18 = 0J/C 2 3 ov (9x10") (4x 10") 22 (9x10°) (-6210) + = 9-6=3J/C You can not add them because one is from the x-axis and the other...
Consider the following IVP y″ + 5y′ + y = f (t), y(0) = 3, y′(0) = 0, where f (t) = { 8 0 ≤ t ≤ 2π cos(7t) t > 2π (a) Find the Laplace transform F(s) = ℒ { f (t)} of f (t). (b) Find the Laplace transform Y(s) = ℒ {y(t)} of the solution y(t) of the above IVP. Consider the following IVP y" + 5y' + y = f(t), y(0) = 3, y'(0) =...
x=9 y=9 #3 For the linkage shown below, O2 = 80 rad/s and ( 800 + 10x + SY ) rad/s. The velocity polygon of the linkage is also shown. Find az = ( 800 + 10X + SY ) and a4 using graphical analysis. (25 pts) AO, = BA = 6 inches, O.O2- BO 10 inches a"z we. Linkage Scale: 1 cm = 2 inches Velocity Scale: 1 cm = 10 feet/second feet/second? Select acceleration scale: 1 cm =...
(1 point) Solve the heat problem with non-homogeneous boundary conditions ∂u∂t(x,t)=∂2u∂x2(x,t), 0<x<3, t>0∂u∂t(x,t)=∂2u∂x2(x,t), 0<x<3, t>0 u(0,t)=0, u(3,t)=2, t>0,u(0,t)=0, u(3,t)=2, t>0, u(x,0)=23x, 0<x<3.u(x,0)=23x, 0<x<3. Recall that we find h(x)h(x), set v(x,t)=u(x,t)−h(x)v(x,t)=u(x,t)−h(x), solve a heat problem for v(x,t)v(x,t) and write u(x,t)=v(x,t)+h(x)u(x,t)=v(x,t)+h(x). Find h(x)h(x) h(x)=h(x)= The solution u(x,t)u(x,t) can be written as u(x,t)=h(x)+v(x,t),u(x,t)=h(x)+v(x,t), where v(x,t)=∑n=1∞aneλntϕn(x)v(x,t)=∑n=1∞aneλntϕn(x) v(x,t)=∑n=1∞v(x,t)=∑n=1∞ Finally, find limt→∞u(x,t)=limt→∞u(x,t)= Please show all work. (1 point) Solve the heat problem with non-homogeneous boundary conditions au ди (x, t) at (2, t), 0<x<3, t> 0 ar2 u(0,t) = 0, u(3, t) = 2, t>0, u(t,0)...