Recent content by calculusisfun

Thanks for the prompt response. Okay, I understand what you're saying partially. But to solve the inequality -4 < x^2 < 4, wouldn't you take the square root of both sides of the inequality to get the following: root(-4) < x < root(4) And root(-4) is an imaginary number is it not? Which would...

Homework Statement Ok, so I don't need help with this part, I just got stuck at the following step when attempting to find the interval of convergence: The Attempt at a Solution I got here: -4 < x^2 < 4 So, I need to solve this inequality. But can I? How can I take the square root...

Thanks for the prompt reply! :) Oh, so you're saying the volume of a slice is πr^2? But don't you have to take account of the height of the slice? So you would need the h right?

Haha okay thanks. Yeah, sorry micromass, I just wanted to get a little more input as I severely doubted I would have gotten it on my first try. :p Thanks a bunch guys. :)

Homework Statement A pool in the shape of a rectangle is ten (10) m wide and twenty five (25) m long. The depth of the pool water x meters from the shallow part/end of the pool is 1 + (x^2)/175 meters. Write a definite integral that yields the volume of water in the rectangular pool...

Hey Tin-tim, Again thanks for your help. :) This question was just on a handout my teacher gave me, so I went looking online for similar problems. I came across this one here. It looks like they did what I suppose I did. They multiplied the volume function by the density function and then...

Thanks for the patience tiny-tim. :) So, are you saying it should actually be: [PLAIN]http://img820.imageshack.us/img820/3233/eqn3042.png ?? I'm confused. If mass = (density)(volume), why can't I multiply those two formulas together and then integrate?? Sorry for being so uneducated. :p

Thanks, any additional input from anyone?

Can anyone verify? Apologies for the bump.

Thanks for responding tiny-tim! :) So, would it be like this? [PLAIN]http://img80.imageshack.us/img80/9790/calc5.png I multiplied d(h) by 16 pi h, because 16 pi h represents the height of an individual slice of the cylinder. Am I still doing this completely wrong? :p I feel like such a nerd...

Homework Statement A cylinder mug with a 4 centimeter radius and 8 centimeter height is filled with tea. When sugar is added to the tea, the sugar usually settles to the bottom of the cylinder mug. The density of sugar in the tea at a height h centimeter from the bottom of the cylinder mug is...

Well, that's good to hear. Any additional input? :)

Homework Statement A pool in the shape of a rectangle is ten (10) m wide and twenty five (25) m long. The depth of the pool water x meters from the shallow part/end of the pool is 1 + (x^2)/175 meters. Write a definite integral that yields the volume of water in the rectangular pool...

How to solve an equation involving an integral? integral of f(x) = 1? Homework Statement Solve the following equation correct to one decimal place. integral of f(t)dt from 0 to x is equal to 1 Homework Equations piece wise function -> f(x) = {sinx/x for x \neq 0 and 1 for x = 0...

Homework Statement (a) Find the area A, as a function of j, of the region in the 1st quadrant enclosed by the y-axis and the graphs of y = x ^ (1/3) and y = j for j > 0. 2. The attempt at a solution (a) x^(1/3) = j x = j^3 A(j) = integral of (j - x^(1/3))dx from 0 to j^3 Any...