Recent content by synergix

So I'm just going to integrate dv I think this might be correct. my bounds would be x=0->sqrt(y^2-4) then y=0->sqrt(z-4) then z=0->4. And then I would integrate in this order. Is this correct?

Homework Statement i have to find the volume between the function z=4-x^2-y^2 and the x/y plane The Attempt at a Solution I think I should be fine with the limits of integration but am not 100% confident what I am integrating. is it 4-x^2-y^2-z?? or 4-x^2-y^2?

I sure hope so. Thank you.

how could we integrate when the upper bound of the first integral is a polynomial x=4-x^2? Maybe I am misunderstanding something. Would it not have to be either a constant or a function of y?

Homework Statement question 2: http://www.math.ubc.ca/~haber/courses/math253/Welcome_files/asgn5.pdf" The Attempt at a Solution So for part a) I tried to plot my domain of integration and ended up concluding it was an area bounded by y=0, y=4-x^2, and x=1. Is this okay? In not too...

I have surface area= 2Ch(pi)r1r1. I need an equation for circumference and I don't think solving the previous equation for C is a good idea.

So in order to do this I need to find circumference as a function of r1 and r2. i am not sure how I should do this.

Well I know from experience that a circular cylinder will have the maximum volume. I am also pretty sure it will have the smallest circumference. If this is correct then now I must show it? At what value would I fix h? Do I just leave it as a constant and find it later after I know the optimum...

Homework Statement Problem 2 b) in the following link http://www.math.ubc.ca/~haber/courses/math253/Welcome_files/asgn4.pdf" Homework Equations V=pi(r1r2)H SA=? The Attempt at a Solution I was thinking I should form two equations V=10=pi(r1r2)h and then an equation for the...

Well I tried using Taylor series and am happy to say that was also very easy and much more satisfying. Those Taylor series aren't so bad after all:)

Homework Statement The fish population in a lake is attacked by a disease at time t=0 with the result that the size P(t) of the population at time t: dP/dt= -k*sqrt(P) where k is a positive constant. If there were initially 90,000 fish in the lake and 40,000 were left after 6 weeks, when...

Thanks I messed this one up on a test because I forgot to put the formula on my cheat sheet but damn that was easy

Homework Statement find the first three non zero terms of a power series representation of f(x)= sinh 2x Homework Equations The Attempt at a Solution seems easy enough do I just substitute 2x for x? so sinh 2x= 2x + 8x3/3! + 32x5/5!

ok i changed it i think its right now and i will try to graph it

Homework Statement Evaluate the integral by intrepreting it in terms of areas from -3 to 0 (1+ sqrt(9-x2)dxHomework Equations integral = F(0)-F(-3) The Attempt at a Solution first find F F = x - [(9-x2)3/2]/3 I solved using integral = F(0)-F(-3) and I got the incorrect answer I think it...