Recent content by p4nda

(d) ∀x(z ∈ A ⇔ z = x)

I'm pretty new to this... so I don't really know the symbols for representing everything. But I'll give it another try. :) (b) ∀x(x ∈ A → x ^ y) ^ I don't know the symbol for "set," do I just leave it as it is "{x, y}?" (c) ∀x(x ¬∈ A) or ¬∃x(x ∈ A) (d) ∀x(x ∈ A)

I need help on converting these to the correct logical notation form using only the propositional connectives and the quantifiers. I'd appreciate if there are some explanation for the reasons of converting in such ways. This is what I got so far: (a) Problem: A ⊆ B ∩ C What I tried...

Sorry, but do I take the partial derivatives of the l, w, and h then plug it into the total differentiation formula? I am confused as to how I can take the partial derivative of (e.g. 5 feet to 5.05 feet)?

Approximate, using differentials, the change in volume of a box if the length increases from 5 feet to 5.05 feet, the width decreases from 4 feet to 3.97 feet, and the depth increases from 3 feet to 3.02 feet. Then, find the actual change in volume and compare the results. Any ideas on...

Sketch the plane curve in the xy-plane and find its length over the given interval: r(t) = (6t-3)i + (8t+1)j on [0,3] Here's what I've got so far: r'(t) = 6i + 8j llr'(t)ll = sqrt of 6^2+8^2 = 10 s = integral 0-3 10dt = 10x ]0 to 3 = [30-0] = 30I just need help on how to sketch this plane...

Sketch the level curves in the xy-plane of f(x,y)=3-y-x^2 for k=0,2,4. Anyone mind helping/teaching me how to do these type of problems?

Find the four second partial derivatives for f(x,y) = y^2e^x + xycosx I am stuck on the last part... here's what I got so far: Zx = y^2e^x - ysinx Zxx = y^2e^x - ycosx Zxy = ? Zy = 2ye^x + xcosx Zyy = 2e^x + xcosx Zyx = ? I need help with solving for xy. Both should end up...

I am stuck half way in solving this problem (the square root nominator confuses me) :confused: : http://img235.imageshack.us/img235/8459/1mi1.jpg and I cannot get it to match the answer given on the back of the textbook: http://img235.imageshack.us/img235/7041/answerop5.jpg Please...

I really appreciate your help, but I'm still kind of lost. I understand how to do the ones with a "6" exponential, but usually the ones with a "4" exponential confuses me. The integrals with a trig. function alone with an "even" exponential (e.g. Tan^[x]) is what gets me. However, I understand...

For the problem I posted, don't I have to switch "cot" to "cos/sin" (ratio identity) and then use the half-angle/double identities?

http://img57.imageshack.us/img57/5647/integraljr9.jpg Can anybody please help me explain how to do this step-by-step by using the techniques of integration? Thank you. :smile:

Haha, yeah... a little late. But I've done some work on these. P.S. Sorry. =/

Thanks! :smile:

Hi, I have no clue on how to work these problems out. Due tomorrow, please help! Thanks. http://img.photobucket.com/albums/v299/p4nda/RelatedRates.jpg