**Please Help. ASAP** Rearrange the formula so the letter in parenthesis is the subject. Show your work as well.

1) v-u/a = t, (v)

2) y-x^2/x = 3z, (y)

3) x+xy = y, (x)

4) x+y = xy, (x)

5) x = y+xy, (x)

6) E = (1/2)mv^2-(1/2)mu^2, (u)

7) (x^2/a^2)-(y^2/b^2) = 1, (y)

8) ay^2 = x^3, (y)

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.

Afluid flows with a velocity field given by v=(x/t)i.. determine the local and convective accelerations when x=3 and t=1.

Give heat transfer applications for the following, (i) gas turbines (propulsion) ) gas turbines (power generation). (iii) steam turbines. (iv) combined heat and power (chp). (v) automotive engines