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    Green's theorem

    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...
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    Limit Abs value

    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...
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    Elasticity question

    Homework Statement Find the deformation of the object (delta l). Graphic:" 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 =...
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    Linear combination problem

    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?
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    Given a general solution, find the EDO

    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)...