find u(x,y) , v(x,y) where f(z)=u+iv for function f(z)=Z2 e2z
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find u(x,y) , v(x,y) where f(z)=u+iv
for function f(z)=Z2 e2z
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A complex function
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- Calculate with residual theorem application dx Jo (x²+1)(x²+4)²Find the divergence and curl of each of the following vector functions: 1. S = < xy, 2yz, 3zx > 2. E = < y^2, (2xy+z^2), 2yz >Evaluate the integral. dx (x – 4)(x – 3)(x + 5) | (Use symbolic notation and fractions where needed. Use C for the arbitrary constant.) dx %3D J (x – 4)(x – 3)(x + 5)
- Let n 1 be an integer, let to to is given by a stationary path of the Lagrangian functional C: L[x] = 1 dt L(t,x,x), x(0) =x0, x(t)=X1, where LT - V and T is the total kinetic energy T = n 1 k=1 2 mark. Using the above first-integral, show that, if V is independent of t, the total energy E=T+V of the particle is a constant of the motion.Let P3 have the inner producet given by evaluation at -2,-1, 0,1, and 2. Let p(t) = t?- 2t and q(t) = t² + 4. Find (q, q)