Here's where I try to explain Stokes' theorem in my own words and you tell me if I'm right / what I need to clarify on.
Essentially, it's a method to compute a line integral around a closed curve in three dimensions, with a given vector field F, without having to parametrize this field and...
Homework Statement
Find the slope of the tangent line to the curve of intersection of the vertical plane x - y + 1 =0 and the surface z = x2+y2 at the point (1, 2, 5)
Homework Equations
Gradients, Cross products
The Attempt at a Solution
I'm pretty lost here. I think I have to...
Homework Statement
Set up the following as a double integral whose value is the stated volume, express this double in two ways as an iterated integral, and evaluate one of these.
Homework Equations
Volume, in the first octant, bounded by -
z = 4- (y^2)
x=0
y=0
z=0
3x + 4y =12...
Homework Statement
The flywheel of a steam engine runs with a constant angular speed of 375 rev/min. When steam is shut off, the friction of the bearings stops the wheel in 1.8 h.
At the instant the flywheel is turning at 75 rev/min, what is the tangential component of the linear...
[Homework Statement
If 0<a<b, find the radius R and center (h,k) of the circle that passes through the points (0,a) and (0,b) and is tangent to the x-axis at a point to the right of the origin.
Homework Equations
((x-h)^2) + ((y-k)^2)=R^2 (equation of the circle centered around (h,k))...