Calc 1 Definition and 73 Threads

I am taking calculus 1 right now and we have been doing a lot of application problems. Like related rates and finding and relating maximum values. I don't have any specific question I was just wanting to maybe have an open forum where we could discuss tips in understanding math->language a...

Hello, I'm looking for f given f'' and two conditions. [PLAIN]http://img375.imageshack.us/img375/2572/antider.jpg Going from f'' to f', I get f'(x) = 5x^4 + 4x^3 + 4x + C But with the two conditions, I feel that I cannot progress from here. I feel that one of those conditions should be...

Need Help, Stuck on Calc 1 Homework! 1. Find constants A, B, and C such that the function y = Ax^2 + Bx + C satisfies the equation y'' + y' - 2y = x^2 2. Find \lim_{x \rightarrow 0} \frac{sin(a + 2x)-2sin(a + x)+sin a}{x^2} 3. If y = \frac{x}{\sqrt{a^2-1}} - \frac{2}{\sqrt{a^2-1}}...

Ok first let me give you some background. I began college as a MIS major (business college) at a local community college (good reputation cc). Anyways, last spring I finished 2 years on time with pre-major business ready to transfer to our local university, UCF. I decided I wanted to switch...

Homework Statement This is somewhat a repost... except I have figured out some of it and I have cleaned up the question. Your task is to estimate how far an object traveled during the time interval 0<= t >= 8 , but you only have the following data about the velocity of the object...

Homework Statement A plane flies horizontally at an altitude of 5 km and passes directly over a tracking telescope on the ground. When the angle of elevation is π/3, this angle is decreasing at a rate of π/6 rad/min. How fast is the plane traveling at that time? The Attempt at a Solution I...

I just finished up Calculus I and I have heard Calc II is a harder class, so I was looking to try and get a head start during the break before I start next semester. What do you guys recommend: trying to read ahead and start on my own, or just reviewing and practicing what I have already...

The function f is continuous on the closed interval [2,8] and has va;ues that are given in the table below. Using sub intervals [2,5]. [5,7], and [7,8], what is the trapezoidal approximation of the anti derivative from 2 to 8 of f(x)dx? |x| |2|5|7|8| f(x)| |10|30|40|20| (a) 110 (b)...

Homework Statement Consider the part of the parabola y=1-x^2 from x=-1 to x=1. This curve fits snugly inside an isosceles triangle with base on the x-axis and one vertex on the y-axis. What is the smallest possible area of such a triangle? The Attempt at a Solution A =...

Homework Statement Suppose f: [a,b] -> R and g: [a,b] -> R are both continuous. Let T = {x: f(x)=g(x)}. Prove that T is closed. Homework Equations If a function f: D -> R is continuous, then for each E > 0 there exists a delta >0 such that if |x-x0| < delta (for x, x0 in D) then...

Homework Statement Is y = x^2 a solution to the DE y'' - 4xy' + 4y = 0The Attempt at a Solution So: y = x^2 y' = 2x y'' = 2 2 - 4x(2x) + 4x^2 = 0 2 - 8x^2 + 4x^2 = 0 2 - 4x^2 = 0 But doing this I won't get an answer of whether it is a solution or not. I get a variable equal to a number...

Homework Statement Question is: how can you tell if there are any places you can't take the derivative of an equation that has an absolute value (using logic, not just graphing it) example equations 1. \left|x-5\right| 2. \left| x3+4x2+9x+17 \right| x2+1 3...

limit problem - calc 1 please see reply Homework Statement limx->0 1/x The Attempt at a Solution I know this is easy if you graph it on the calculator, but I want to know the logic behind the getting the answer without graphing it. Thank you

1. Homework Statement [/b] ∫x/√(x-1)dx 2. Homework Equations [/b] I'm just stumped. I have tried u substituion with u=√(x-1) x=u^2+1 ((u^2+1)/u)du =(u+1/u)du but it doesn't seem to work and I can't integrate 1/u. I just don't know where to go with this any help would be...

So recently I been reviewing my graphing along with my Calculus 1. I'm currently reading this problem and I was thinking, why not just compare it to a graph that I already know. \lim_{x \rightarrow 5^{+}}\frac{6}{x-5} with comparison to whose limit also goes to Infinity as it approaches from...

Ok i am currently in calc 1 and will be taking calc 2 next smester. I am doing well in calc 1 and am happy with it for the most part. Here is my problem the class i am in is a decent ways behind all the other classes. We just finshed the chain rule and the other classes have just started...

what should one know before taking calc 1. i don't feel i was prepared enough going from high school math right to calc in college. to not be so general what in the past comes up most that you use a lot in calc.

I am not to great in math as I have never really had a good teacher, But i don't blame it on the teacher. I was just recently in a calc 1 class and got a D and have to go back and retake it. Thogh I plan to do so, I still need to brush up my lower level math, such as pre-calc and algebra...

An object moves along the x-axis according to the equation x(t) = (3.70t^2 - 2.00t + 3.00) m. how do i find its instantaneous speed at t = 1.70 s and at t = 3.20 s. acceleration between t = 1.70 s and t = 3.20 s. thank u. i just started calc 1. please help.

Limits:( If it were things like derivatives and integrals I'd be good to go but nooooo, stupid limits lim(x-->0) [(1+ax)^(1/3)-1]/x=1 find a such that this is true. Guessing on my calculator tells me its 3 but I don't know how to do it analytically. My first guess is clear the radical...

Hey guys, I'm about to go to college this fall. For my degree, the first math class is Calc 1. I know I'm not ready for it so what classes should I take in the summer? I didn't take a math class my senior year in high school (I didn't take Pre-Calc). So I know I need to catch up. I have 3...

I have a pretty big problem. I just got out of my first Calc 2 class and we are using James Stewarts Calculus 5th edition. The problem is that we are starting on ch. 12 in the calc 2 class, but we only went up to chapter 7 in my calc 1 class. I talked to my prof. and he said I should self...

I am trying to evaluate this integral, \[ \int_{ - r}^r {\left( {s\sqrt {1 + \frac{{x^2 }}{{r^2 - x^2 }}} } \right)} {\rm }dx\] Is it a valid integral? If I evaluate it by plugging in r and -r, it becomes undefined. How else can I evaluate this integral? I'm in calculus 1 and I am...