Recent content by LBK

Homework Statement I understand the setup for finding the slope, but always get confused whether I've fully simplified when trig identities get involved. [/B] Homework Equations My dy/dx is [/B] 4sin(θ)cos(θ) -2csc2(θ) which I simplified to just (-2sin(θ)cos(θ))/(csc2(θ) Does that...

Thank you so much. So, one last question to clarify, because I've seen examples that seem not consistent to me. If I place the X axis at the water line (3 m above the 12m side of the triangle) are my limits correct at 3 to 12, even though I"m below the x axis? My instructor did one example...

Homework Statement Submerged (vertically) right triangle 12x9x15(hypotenuse) with 12 m leg parallel to water surface. Top of triangle is 3m below surface. Find force on triangle.[/B]Homework Equations I know mass of water is 840 k/m3. I think I should also multiply times 9.8 for gravity...

Oh good grief, thank you!

OK, I'm still reading up, and while there's not a direct example, if I can use disk method, I get A(x)=pi(f(x))2 from which I get V=INT A(x)dx So V=INT[0,10]*pi((1/4)x2)2dx integrating this I would get pi/16*(x3/3)| 0 to10 =pi/16(1000/3)-0=1000pi/48 =125pi/6 Am I warm now? :D Oh, wait I still...

I'm still confused on some of these volume problems, so please bear with me :) Homework Statement Find the volume of a reentry spacecraft nose cone that has a cross-section radius of (1/4)x2 taken x feet from the nose and perpendicular to the axis of sym. We are given that the length of...

ah, I get it now. Thanks, you guys rock. I'll definitely be back lol.

Homework Statement Find the exact length of the curve: y= 1/4 x2-1/2 ln(x) where 1<=x<=2 Homework Equations Using the Length formula (Leibniz) given in my book, L=Int[a,b] sqrt(1+(dy/dx)2) I found derivative of f to be (x2-1)/2x does that look correct? The Attempt at a Solution I found f'...

I worked on it just now and I got .005 too. A classmate said he couldn't get the book answer either, so I feel much better now. And for the record, your explanation is clearer than my teacher and the book, so thank you again!

Oh, I'm sorry that would be integral approximation by trapezoidal rule and by midpoint rule, respectively with n=8 *also original post corrected for error formula, denominator should be 12n^2 not cubed

Hello, I am having a hard time getting my errors to come out to what the book says the answers should be. My approximations are correct, so I think I'm just misunderstanding how to find K. Q.a) Find the approximations T8 and M8 for ∫(0 to 1) cos(x2)dx I found these to be T8=0.902333 and...