1.find the line integral of
(x^3-y^3)dx +(x^3+y^3)dy over r, where r is the boundary of the
region limited by x^2+y^2=1 and x^2+y^2=9
Homework Equations
3.
i found that the
line integral over the curve x^2+y^2=1 is 3*Pi/2
and the double integral of the region limited by...
Homework Statement
find
limit y/(sqrt(2)Abs(y)) when y->0
Homework Equations
The Attempt at a Solution
limit y/sqrt(2)Abs(y)
if y > 0
limit =1/sqrt(2) when y->0
if y<0
limit=-1/sqrt(2) when y->0
so it has no limit???
thanks
Homework Statement
Homework Equations...
Homework Statement
Find the deformation of the object (delta l).
Graphic:
http://img202.imagevenue.com/img.php?image=59612_fis1_122_218lo.jpg"
Y = young's modulus
W = weight of the objects (see the picture)
Homework Equations
d = density
d = M / V
d = M/(A*delta l )
M =...
Homework Statement
Under what restrictions on c,d,e will the combinations c*u+d*v+e*w fill in the dashed triangle?
Homework Equations
The Attempt at a Solution
I think c,d,e>=0 and bcos the triangle it's in a plane maybe remove one of c,d or e doing c+d+e=number?
1. The problem statement
Given the general solution:
y==(2*c*e^(2x)) / (1+c*e^(2x))
find the EDO.
2. The attempt at a solution
Im tried isolate c*e^(2x), using implicit differentiation:
y + y*c*e^(2x)==2*c*e^(2x)
y'+y'*c*e^2x + 2*y*c*e^(2x)==2*2*c*e^(2x)
y'==c*e^(2x) * (4-y'-2y)...