Recent content by memish

Homework Statement Homework Equations n/a The Attempt at a Solution I set up the intgral at integral from 0 to 5 of integral from 0 to 5y of 8e^(y^2)dxdy I solved it as an iterated integral so I solved the first part, then ended up with integral from 0 to 5 of 40ye^(y^2)...

thanks LCKurtz, that's what i ended up doing..i graphed it on my computer and then figured that out :))

Homework Statement Find the dimensions of the box with the largest volume, given the constraint that the perimeter of the cross sector perpendicular to length is at msot 108 Homework Equations So I have f(x,y,z)=xyz and the constraint is 2x+2z<108 The Attempt at a Solution I set...

Homework Statement I found the local maximum for the equation g(x,y)=3xe^y - x^3 - e^(3y), which is (1, 0)...now I am supposed to show that this is not the absolute maximum for g(x,y). I don't know how to find an absolute maximum without an interval! Could anyonw shed some light on this...

ahhh yay i got it thanks! picking up calc againafter the summer sucks...

ohhhh i have to use quotient rule?!

Ohhh ok... can you kinda explain that? Isn't 1/(3t) basically (3t)^(-1) and then you can use the power rule?

Homework Statement Find the unit tangent vector T(t) to the curve r(t) at the point with the given value of the parameter, t. r(t)=<e^(2t), t^(-2), 1/(3t)> t=1 Homework Equations none The Attempt at a Solution So first I took the derevative to get r'(t) which I got to be...

ok thanks! i got it :)

Homework Statement Find the equation of the plane that passes through the point (1,−2,−1) and contains the line x(t)=−1−3ty(t)=−3−2tz(t)=4+4t. Homework Equations none The Attempt at a Solution I used vector <-3,-2,4> from the parametrics and crossed it with <2,1,-5> which i...

Ohhh ok thank! I got it! :)))

Homework Statement Find the volume of the solid that lies inside both the spheres x^2+y^2+z^2=4 x^2+y^2+z^2+4x-2y+4z+5=0 Homework Equations none The Attempt at a Solution I completed the square on the 2nd equation to get (x+2)^2 + (y-1)^2 + (z+2)^2 = 4 So I have the two...

ohhh ok thanks! i got it it was much simpler than i thought :)

thanks, rockfreak lkh - what do you mean by the problems with simultaneous equations?

Homework Statement Find the equation of a sphere that contains the points (-3,0,0) (3,4,4) and (-4,3,4) if its center lies on the xz plane Homework Equations Not sure...i used the distance formula though The Attempt at a Solution This class has just started and i have no idea where...