Recent content by theown1

Homework Statement (b) Find the differential equation for which –4xy3 + 4xy3sin(x) = –1 is an implicit solution on the interval (0, pi/2). Write your answer in the form dy/dx = f (x,y) where f (x, y) depends on both x and y. The Attempt at a Solution I'm not too sure on how to go about...

Homework Statement a) what is the shortest distance from the surface z2+3x-xy=9 to the origin? Homework Equations I know that when you take the gradient of an equation the gradient is perp. to the vector and gives the direction of largest rate of inc. The Attempt at a Solution so I...

Homework Statement Compute the flux of the vector field, , through the surface, S. \vec{F}= 3xi + yj + zk and S is the part of the surface z + 4x + 2y = 12 in the first octant oriented upward. Homework Equations by definition from my book the integral is \intF(x,y,f(x,y)\circ<-fx,fy,1>dxdy...

Ok, ok I understand now since the line is already perp. to the plane, the direction of the line corresponds to the gradient of the plane which is <a,b,c> and then i just use the equation of a plane to solve d=a(x-xo)+b(y-yo)+c(z-zo) thanks

thanks that cleared up a lot!

Hi, I have a couple of questions for my general knowledge because I have a test coming up and I'm confused on some stuff 1) For an isothermal process is the \DeltaS=0 because \DeltaT=0? since it equals zero does that mean that the process is irreversible? 2)What makes a process...

Homework Statement Consider the line and plane below. x = 5-5t, y = 3+7t, z = 10t ax + by + cz = d Find values of a, b, c, and d so that the plane is perpendicular to the line and through the point (2, 1, 2). Homework Equations Fgrad=(x',y',z') is perp to surface if...

Ok thanks that's makes a little more sense now, thanks

Homework Statement An air conditioner operates on 800W of power and has a performance coefficient of 2.80 with a room temperature of 21oC, and an outside temperature of 35oC. a) Calculate the rate of heat removal for this unit. b) calculate the rate at which heat is discharged to the...

Homework Statement An air conditioner operates on 800W of power and has a performance coefficient of 2.80 with a room temperature of 21oC, and an outside temperature of 35oC. a) Calculate the rate of heat removal for this unit. b) calculate the rate at which heat is discharged to the...

ya that worked, thanks!

A carnot engine has an efficiency of 59% and performs 2.5x104 J of work in each cycle. a) how much heat does the engine extract from its heat source in each cycle? b) suppose the engine exhausts heat at room temp (20oC) what is the temperature of the heat source? I know that the...