Suppose that s(t) is a real-valued signal. We have a set of orthonormal basis functions {ϕi(t)}N i=1 with which we wish to approximate s(t) as s ˆ(t) = N∑ i =1 siϕi(t) such that the energy in the error signal e(t) = s(t) − s ˆ(t) E e = ∫−[infinity] [infinity] e2(t)dt = ∫−[infinity] [infinity] (s(t) − s ˆ(t))2dt is minimized. Calculate the optimum coefficients {si}N i=1 that minimize Ee.

Line joining liquid phase with liquid and solid phase mixture is known as: a) liquidus b) solidus c) tie line d) none of the mentioned

The mass flow rate of the fluid remains constant in all steady flow process. a)- true b)- false

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.