Thanks! But how do you see that 1-5z=0 is a single point?
And to get 1 - 5z > 0, dosent z have to be negative? to have z=, -1, -2 -3 , but that can't be becous z≥0. and does this gives us the radius of the parabolid?
Homework Statement
I have a couple of problems With normal vectors (this especially in Stokes theoerm where it get used often).
1) In some tasks they use unit normal vector, in some they use ordinary normal vector, is there any rules on when to use what? couse it seems pretty random, or dose...
Homework Statement
I have calculus, and a lot of tasks ask for drawing of the functions in 3 dimentions. I have problems thinking of how to do this, often it can be a parabolid or other Objects. Example, one I can't think of how I am suppose to Draw, here I am going to solve for Stokes (that...
Hello. I just wonder if anybody know if there are any rules, when to use parametrization to greens theorem in a vector line integral over a plane. Becouse, it seems sometimes, you have to parametrizice, and other places you dont. I get confused.
I Thank Thee!
I did find though that I had some mistakes in my calculations:
=∫∫12 Cos^3 (s) dsdt (boundaries 0 and 4(dt), 0 and 2π(ds))
is ∫12 (1/12(9sin(s)+sin(3s)) dt =∫(9sin(s)+sin(3s))dt instead of =12∫ -3Sin(s)Cos^2 (s) dt which I wrote at the beginning.
But...
Homework Statement
Let S denote the closed cylinder with bottom given by z=0, top given by z=4, and lateral surface given by the equation x^2 + y^2 = 9. Orient S with outward normals. Determine the indicated scalar and vector surface integral to ∫∫ x^2 i dS (I have tried to solve this...