Analysis and Calculus

I just finshed taking Math @ the University of Maryland and would like to continue learning. Are there any good books, I'm not speaking of textbooks but books. Thanks

I am a science student but i found no interest in calcalus at all! So can anyone recommend me a book that can get me interested in it?

I'm trying to find a proof for the following equation: x*y^ln(x)=x^ln(y)+1 It works when I punch it into my TI-89, but I can't figure out why...

Hello, I am completely stumped by some of these problems, and have no where else to get help, can anyone help me with these problems? Any help would be greatly appreciated. Thank you very much. 1. The function v(t)=12t(squared) - 16t is the velocity in m/sec of a particle moving along the x-axis, where t is measured in seconds. Use analytic methods to find the particles displacement for 0<(greater than or equal to)t<(less than or equal to)5. (round to nearest 10m). (Note: just t is squared in the equation, and it's 0 to 5 including both 0 and 5) (I got 120m but it doesn't seem right) 2. A certain spring obeys Hooke's Law and requires a force of 10N to stretc…

At time t hours, the rate of decay of the mass of a radioactive substance is proportional to the mass x kg at that time. (a) Write down the differential equation satisfied by x. (b) Given that x = C when t = 0, show that x = Ce^[-(at)], where a is a positive constant. I can't figure out part (a)...so I cant do part (b). So if somebody could help me with part (a) please. thanks

Hi, First of -- I am not a methematical person, so if I understood the entire thing wrong, I'm sorry in advance. We all know what we learned since we're relatively young: division to zero is infinite. A friend of mine told me his teacher said that if you devide something in infinite, you do not get zero, you get (-) infinite. WHAT!?!? Auhm, well if you said that PHYSICALLY, I could understand, but, isn't mathematics built on straight rules ..? if 1/0 = infinite then mathematically 1/infinite = 0 Assuming I actually understood correctly, and that his teacher is not an idiot, could anyone please explain what is going on in that equasi…

How do you graph y = x^x? What I mean is, when x = 0, y is undefined. How do you graph that? Then something weird happens when you try x= -0.3 and -0.4 and -0.5. Don't go too technical on me for the explanation. I'm just curious as to how you graph it.

hi can anyone help me solve the integration f(x)=integral[e^(-integral(P(x)dx))/y1(x)^2] thnx

hi, im really confused on how to rearrange the following equation (given in attachement) the pi is actually the product and not the value 22/7. by using e^r=1+r to 1-e^-r Can someone help me please.

I had this question on a test today and just want to know if i was on the right path untill i got too frustrated and gave up. Find the closest points to the origin on the surface x^2-yz=5. This is what i did d=sqrt( (x-0)^2 + ( y-0 )^2 + (z-0 )^2 ) then i took the f(x,y) = x^2 + y^2 +( (x^2-5)/y )^2 took partial derivatives but then i couldnt solve for either x or y. -Marc

Solve this question.

i need to find the volume bounded by x + z = 1 and y + 2z=2 in the positive quadrant ive worked out the co-ordinates which are: x(1,0,0) y(0,2,0) Z(0,0,1) how do i find out the limits to put for the three integrals. i think the first integral is going to be: 0 to (1-z) 2nd integral: 0 to (2-2z)/2 but im not sure about these two either can some clarify for me if im going about this the right way. im not sure about the third one. can any one help. thanx

hi im trying to prove the volume of a sphere using triple integration and im stuck at how to integrate: ((R^2)- (r^2))^1/2 - {- ((R^2) - (r^2))}^1/2 r dr ive changed my limits to cylndrical limits and R is the radius. ive done the working out but im not getting ne where. please helpppppppp.

Rolle's theorem as stated: let f be continuous on the closed interval [a,b] and differentiable on the open interval (a,b). If f(a)=f(b) then there is at least one number c in (a,b) such that f'©=0. Let's say f(a) does not equal f(b), but there are two other points d and e within the interval (a,b) such that f(d)=f(e). Can Rolle's Theorem be used/defined that way? This is a calc 1 class, so if you could keep your answers within that realm, i'd appreciate it. Thanks!

I am a very slow learner when i comes to math and i plan to take it in college soon. So i want to get a head start. I dont even know how to use a Graphing Calc so im pretty far behind. Is there a free online tutorial to teach calc from the very basics. My fiance has a AP calc book that i could use but since i dont know even the basics of calc it doesnt do me to good

sin(x) = e^(ix)-e^(-ix)/(2i) cos(x)= e^(ix)+e^(-ix)/2 tan(x) = (i(1-e^(2ix)))/(1+e^(2ix)) sec(x) = (2i)/e^(ix)-e^(-ix) csc(x) = 2/e^(ix)+e^(-ix) cot(x) = (1+e^(2ix))/(i(1-e^(2ix)) sinh(x) = e^(x)-e^(-x)/2 cosh(x)= e^(x)+e^(-x)/2 tanh(x) = (e^x-e^-x)/(e^-x+e^x) Have fun thinking about why all this is true.

Limits, derivatives, or integration? I thought it was that exact order, but my friend said the order was: Integration Derivatives limits why? He says "they just tend to find stuff first and then come up with the reasoning later I'm stumped. Anyone know?

The MC was pretty easy. But wow...the free response. 1,4, and 5 were easy...they were the ab topics. 2,3, and 6...man. Each problem had at least one part that almost nobody in my class got right. I'd never seen some of those types of problems before. 6c: The differential equation! Omg! Question 3, with the derivitives with respect to y (i got that right...but then converting it to polar and integrating it there!) Also, the parametric questioin might have well just castrated you right there. I'm confident I did well, but I can't imagine how far down they are going to redo the scale. ~Wolf 1. Volume between sqrt(x) and e^-3x 2. parametric with dx/dt =…

As you may or may not know, there's a very useful constant, invented by Euler which is particularly useful in applications of Number Theory and the like. It's defined to be the limit as n -> :inf: of: Dn = (:sum:i=1 to n 1/i) - log(n+1) It's also known by the Greek letter :lcgamma: (gamma). I thought I'd share this quite nice problem to show you what the value of: :sum: (-1)n+1/n (i.e. the infinite sum 1 - 1/2 + 1/3 - 1/4 + ...) converges to. The proof goes something like this: :sum: i = 1 to (2n-1) (-1)i+1 = 1 - 1/2 + 1/3 - 1/4 + ... + 1/(2n-1) = 1 + 1/2 + 1/3 + ... + 1/(2n-1) - 2[1/2 + 1/4 + ... + 1/(2n-2)] = D2n-1 + log(2n) - Dn-1 -…

Hi all, Im trying to find some questions for students to carry out as part of an assesment, therefore i need them to be solid ie, hard. The questions need to be related to y = mx + c , perpendicular, inverse functions and possibly simultaneous equations. Could any one help me out please, Thanks in advance

This may be a stupid question, but what numbers are prime and which aren't prime from -4 to +4 My friend and I are puzzled about 0 and 1. It has been too long since we recalled. thanks

In the middle of a book on the life of Paul Erdös, an eccentric mathmatician who loved numbers from an age of 4 till his death in 1996 at the age of 83. Great read about a great mathmatician even if he was mad as cheese. Its got me learning about maths again.. first time since school Books entitled "The man who loved only numbers" by Paul Hoffman

Relating to the e-mail I received: Could you please help me find the nth term for this sequence: 1,3,5,7,9,11, The nth term is 2n + 1 N= 0 1 2 1 3 5 (2x0+1) (2x1+1) (2x2+1) I also need to know how to add up sum’s “Calculate the sum of terms 1 to 20” This is done using Sn: N(1st term + n term) /2 Note: N= term you going to find: N=20 To find the 20th term: Using the nth term = 20x2 + 1 = 41 Then 20(3 + 41)/2 = 440. The sum of terms 1 to 20 is 440. Another example: Find the sum of 1 to 5000: N(1st term + n te…

hey all, im newish to these forums but i thought maybe you could help. im supposed to construct a 5th degree polynomial by selecting 5 zeros. but ive got no clue where to start. how do i create such a polynomial?

lim (a^x-x^a)/(x^x-a^a) = 1 x -> a Then what is the value of a? :lint: (sinx/cosx)^1/2 dx [ Integration by parts? ] :lint: 1/(sin^4 x +cos^4 x) dx