Recent content by soe236

I have to pick the best cell culture vessel: For my experiments, the vessel initially contains 0% CO2. Then it's placed in an incubator set to 37 degreesC and 5% CO2. There is a 1 micron filter i can attach to a port in the vessel that can be 10mm wide or a .2 micron filter can be attached to a...

never mind, I got it, someone helped me out

R is a bounded region in xy plane defined by y=x2 and y=x+2 a) if f(x,y) is a func. defined in region R, describe how to write double-integralR[f(x,y)dA] as a sum of one or more iterated dx dy integrals. b) if f(x,y) is a func. defined in region R, describe how to write...

So dF/dy= (2y+1)*(-e^(x^2-y) + 2*(e^(x^2-y)) ?

d(2y+1)/dy= 2 de^(x^2-y)/dy = -e^(x^2-y) so by product rule, dF/dy= 2*e^(x^2-y) ?

Well yea I know that.. I meant I did not know how to get the partials specifically for the function I posted above : F(x,y) = (2*y+1)*e^(x^2-y). Is dF/dx = (2*y+1)*e^(x^2-y)*2*x ? and dF/dy = ?

F(x,y) = (2*y+1)*e^(x^2-y) Find critical point and prove there is only one. Use second derivative test to determine nature of crit. pt. I know the procedure in solving it: set partial derivatives to zero and solve resulting equations. And by second derivative test, if D>0, f(a,b) is local...

Oh I see.. okay, thank you very much!

Thanks, but I'm not sure I completely understand This is what I got so far, please correct me if I'm wrong: r'(t) x r''(t)= 12sint^2+12cost^2 = 12 ||r'(t) x r''(t)||= sqrt(144) =12 ||r'(t)||^3 = (9sint^2+16cost^2)^(3/2) k(t)= 12/(9sint^2+16cost^2)^(3/2) from what you've said...

Thank you!

Find Curvature of Ellipse given x=3*cos(t) and y=4*sin(t) at the points (3,0) and (0,4) Relevant equations: curvature at r(s) is k(s)=||dT/ds|| when r(s) is arc length parametrization and T is the unit tangent vector I usually use the formula k(t)= (||r'(t) x r''(t)||)/||r'(t)||^3 So...

Homework Statement Z is defined implicitly as a function of x,y by equation (z^2)x + 3xy^2 + e^((y^2)z) = 4. Find dz/dx Homework Equations dz/dx = -Fx/FzThe Attempt at a Solution Fx= z^2 + 3y^2 Fz=2zx+(y^2)e^((y^2)z) dz/dx= (z^2+3y^2)/[2zx+(y^2)e^((y^2)z)] I'm not sure if I used the partial...

Homework Statement a) Two friends, Jon and Bob, are sharing a loaf of bread. Jon eats half of the loaf, then Bob eats half of what remains, then Jon eats half of what remains and so on. How much of the loaf did each of them eat? b)Jon is hungrier and eats 2/3 of the loaf, then Bob eats half...

[SOLVED] Area of a Surface of Revolution--Help Please 1. Problem: The curve y=e^(-x), x>0 is revolvd about the xaxis. Does the resultin surface have finite or infinite area? [Remember tht you can sometimes decide whether improper integral converges w/out calculating it exactly] 2...

1. integral(e^(2x)/\sqrt{}(e^2^x+1))dx and integral(e^(x)/\sqrt{}(e^2^x+1))dx 3. I tried solvign by letting u=e^x and used trig substitution for \sqrt{}u^2+1 where x=tan(theta), d(theta)=sec^2(theta), \sqrt{}u^2+1=sec(theta) but got stuck