But I am suppose to integrate over the arclength(ds). I'm suppose to parametrize the curve with respect to t so that the curve imoves along 1 unit of length per unit of time. That's how I got the bounds for the integral
Homework Statement
Evaluate the line integral over the curve C
\int_{C}^{}e^xdx
where C is the arc of the curve
x=y^3
from (-1,-1) to (1,1)
Homework Equations
\int_{C}^{}f(x,y)ds=\int_{a}^{b}f(x(t),y(t))\sqrt((\frac{dx}{dt})^2+(\frac{dy}{dt})^2)dt
The Attempt at a Solution
I tried...
Homework Statement
see thumbnail
second part
Homework Equations
V=IR
The Attempt at a Solution
I remember the professor saying that current throughout a circuit is constant no matter where it is. So adding all of the resistance together it should be 12/10 or 6/5 Ampere's. Is this...
I had my physics midterm today and I totally blanked out. I want to know how to solve it for next time.
So In the picture, there are two springs connected to the mass on a platform.
a) if the platform is at rest, find the angular frequency
the expression for angular frequency is...
Thanks for the reply guys, I asked the TA today and she says you have to divide it up into two identical triangles. so the answer would be
∫ 0 to ∏/4 of ( ∫ 0 to secθ (rdr))dθ
which would equal to 1/2.
But since there are two of the triangles the area would equate to 1. So it all works out :)
Homework Statement
Find the area of a square with each side measuring 1 using double integral and change of euclidean coordinates to polar coordinate.
Homework Equations
x=rcosθ
y=rsin0
dA=dxdy=rdrdθ
The Attempt at a Solution
int(int(rdr)dθ)
sorry my mistake, What i meant to say is that the domain is the xy plane except for at point (0,0). But still, how is that different from "domain of continuity"?
Homework Statement
x*sin(sqrt(x^2+y^2))/sqrt(x^2+y^2)
find the domain of continuity
Homework Equations
none
The Attempt at a Solution
I found the domain, which is x^2+y^2 > 0 and since x^2 >= 0 and y^2 >= 0 therefore the domain is (-inf,0) (0,inf)
but the professor then asked...
And Don't worry, it's not a take home test, it's one of the problems from mastering physics, I have already gotten the right answer but I want to know how to solve these kind of questions in case it comes up on the test.