Recent content by CJ256

Computer science and I am only taking calculus because it is required for my major.

I am really struggling with my Calculus 1 class. I have a book and everything for it I do all the problems from the book including the homework that the teacher provides us. I find the homeworks very hard and I have no clue how to solve some of them. The thing is when I took a placement test I...

so would that be the answer then? r = 5/√(2) m?

Homework Statement What is the rate of change of an area of a square with respect to the length of its diagonal (r) when the square has a side length of 5 meters? Homework Equations The Attempt at a Solution Area of a square = s^2 and if Area of a square = s^2 then it would =...

Ok so for the first problem, I got that the function exists because of the piece wise function two of the functions equal 5 but I still need help with the second question

Well for the first one if I plug in 2 where I have x all the equations are true except the x^3-3 so does that mean that it is not continuous even though it in the second equation 2=2? For the second one I still have no clue where to start.

Yep. A function f(x) is continuous at x = c if, as x approaches c as a limit, f(x) approaches f(c) as a limit or in other words this:

Homework Statement Homework Equations Ability to graph functions. Essential Discontinuity: Jump discontinuity or Infinite discontinuity The Attempt at a Solution First Question: After plugging in 2 for every equation and getting a result that was greater than 0, I...

So can I just rewrite your last sentence and add something like: The above statements hold true therefore limit as x approaches -1 f(x) = 1. I mean would that be an acceptable answer?

So the answer to my question is just limit as x approaches -1 f(x) = 1 ? And will it be acceptable for me to just show the two cases that I have in my original answer, where I have plugged in a -1 every where I have an x?

Edited the question! Hopefully you will be able to see it and understand it and help me out.

http://www.mathway.com/math_image.aspx?p=SMB02LSMB03x:1,SMB02FSMB03x-1SMB10SMB02RSMB03x+3SMB02rSMB03-2SMB02fSMB03SMB02lSMB03?p=93?p=46 If this is the equation, the limit does not exist, the answer should be DNE! The way you do it is basically plug in 1 and then you will get 0 on the top and...

Homework Statement Note: The functions above are in piece wise form, I just didn't know how to put them in piece wise function here.Homework Equations The Attempt at a Solution http://www.mathway.com/math_image.aspx?p=SMB02LSMB03x:-1,-xSMB02ESMB032SMB02eSMB03+2SMB02lSMB03?p=87?p=38 = 1...