Unsteady-state diffusion/heat conduction): consider the dimensionless form of the unsteady-state diffusion equation∂u/ ∂t = ∂ 2u/ ∂x2 ; t > 0, 0 < x < πwith boundary and initial conditions∂u/ ∂x(0, t = 0; ∂u/ ∂x(π, t) = 0; u(x.0) = f(x)where f(x) is the function defined in problem 101 (picture attached as well). solve the equation and show some schematic profiles of u(x, t) for small and large times.

Afour cylinder four-stroke in-line engine has a stroke of 160mm, connecting rod length of 150mm, a reciprocating mass of 3kg and its firing order is 1-3-4-2. the spacing between cylinders is 100mm. i. show that the engine is in balance with regard to the primary inertia forces and primary 3. a and secondary inertia couples. li determine the out of balance secondary inertia force ii. propose ways of balancing this out of balance force and discuss the challenges that will arise

The higher the astm grain-size number, the coarser the grain is. a)-true b)-false

The higher the astm grain size number, the finer the gran is. a)-true b)-false