Recent content by gertrudethegr

The only examples I found using partials considered the second derivative at the given point, however as the questions states the second derivative at the points are all 0, hence all the examples I have found give an inconclusive solution... that is why I have become unstuck, but if I take third...

Homework Statement Each of the functions f have a critical point at (0,0), however at this point the second derivatives are all zero. Determine te type of critical point at (0,0) in this case 1) f(x,y)=x2y+xy2 2)f(x,y) = x4+2*x3y+x2y2+y4 The Attempt at a Solution For...

Homework Statement Let S be the boundary of the region {(x,y,z) : 0<z<h , a^(2)<x^(2)+y^(2)<b^2 , and a<b F is defined at the point with position vector r=(x,y,z) by F(r)=exp (x^2+y^2)r Evaluate the surface integral \int F.n dS Where n is the outward pointing unit normal to...

That is a valid point! Thanks dick

Thanks! So w^3=1 w^4= w^1 w^5=w^2 etc so exp(z) +exp(w*z) + exp (z*w^2)= 3 + 0 +0 + 3*z^3/3! + 0 + 0 +3*z^6/6! etc, But where do i go from here? Thankyou for your time

We have already shown 1+ w+ w^2 =0 If w is the complex number exp(2*Pi*i/3) , find the power series for; exp(z) +exp(w*z) + exp (z*w^2) We have already shown 1+ w+ w^2 =0