Homework Statement
Find the critical points of f.
f(x,y)=2+\sqrt{3(x-1)^2+4(y+1)^2}Homework Equations
For fx(x,y) I get:
f_x(x,y)=0+\frac{1*6(x-1)}{2\sqrt{3(x-1)^2+4(y+1)^2}}=\frac{3(x-1)}{\sqrt{3(x-1)^2+4(y+1)^2}}
For fy(x,y) I get...
I can see that it converges to π / 4, and I can prove it be substituting some things and simplifying it that way. But I don't understand why they can just at the very beginning of the problem rewrite it in that way from the get go.
I used Wolfram Alpha to evaluate:
lim tan[(2nπ)/(1 + 8n)]
n->infinity
it says that it can use the continuity of tan(n) at n = π / 4 to rewrite the aforementioned function as:
tan[lim ((2nπ)/(1 + 8n))]
n->infinity
What is it talking about? I was taught to use certain properties of trig...
Nevermind I suppose it'd be the other way around. Fluid would be sucked in (as air would be) because the pressure in the mouth is less. So that leaves me at a complete loss as far as what the answer is concerned.
Would it be patm - ρgh? ρgh being the change in pressure necessary to bring up...
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Ah. My bad. I was assuming for some reason that it wasn't fired straight up. And yeah, I just wish it said split or something rather than "explodes". Anyway, I appreciate the help : D
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So what you're saying is that w is to 40ft what 9 - x is to 6ft?
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They mean one of the trapezoidal sides, not the rectangular ones. Anyway, I've...