Thank you soo much :)
I am still confused, though. So if I can prove that dg/dxy = dg/dyx and dg/dxz = dg/dzx and dg/dyz = dg/dzy , I will have proved that F is a gradient vector field, correct?
I found that dg/dxy = sin2y, and d/dyx = 2e^x. Since they are not equal, that means that F is not a...
I completely forgot the biggest part of the problem. WOW. Sorry about that!
Let F = (2xye^z)i + ((e^z)(x^2))j + ((x^2)y(e^z)+(z^2))k
NOW find a function f(x,y,z) such that F = Gradient of f.
Sorry about that. Please answer :)
Homework Statement
Give an example of a rigid body that has:
Rotation but not curl
Curl but not rotation
Rotation and curl
Neither rotation nor curl
The Attempt at a Solution
i don't even get what rotation is. Or curl, to be honest...*sigh* Maybe if you help me I can begin to...
Homework Statement
Is F = (2ye^x)i + x(sin2y)j + 18k a gradient vector field?
The Attempt at a Solution
Yeah I just don't know...I started to find some partial derivatives but I really don't know what to do here. Please help!
Thanks you so much for responding! But you guys seems to just be telling me how to graph the function. But its a path, and paths map out the actual function in some weird way I don't understand. Don't I need to take that into account? I'm sorry, I just really don't understand paths at all. I...
Let c(t )=(2t,sint,cost) be a path. Describe the shape and orientation of this path
Describe the shape and orientation between points (0,0,1) and (pi,1,0)
I have no idea how to figure out the shape of a curve from its path and my book is only confusing me. Please help!
Electric Charge Questions, Please help!
Homework Statement
I have three problems. I am absolutely desperate for answers. I cannot figure out what to do from the examples my book gives. It doesn't give examples in the book that relate to these problems, and I simply do not know what to do...
A quartz tube contains one mom of gAs at 20 deg c. The gas is heated at constant volume to 300 deg c. How much thermal energy is transferred to the gas? If the same amount were heated at constant pressure, how muh energy would be required?
I know how to solve this for constant volume using E=...
A cylinde with a piston in contact with a heat reservoir at 353 k. While keeping this gas at constant temp and pressure of 1.01 x 10E5 n/m2 we permit he gas to expand by 1.5E-5 m3. How much heat does the gas absorb?
Is it just p x v = w and w = q to get an answer of 1.15 j? Cause i feel like...
You place 1.0 kg of ice ( at 0 deg c) in a pot and heat t until the ice melts and the water boils off, making steam. How much heat must you apply to achieve this?
Also, a printing plate of 20 kg is made of lead. After casting, the solid lead cools to 90 deg c . It is then dropped into a...