I have a pool that's about 5ft deep in the middle and I wanted to use a siphon to possibly heat my pool. Essentially my idea was to use a black hose, have it submerged about a ft or so in the pool run it out onto the deck where it could be heated and then back into the pool where the other end...
Homework Statement
∫sin(2sinh(3x))
Homework EquationsThe Attempt at a Solution
okay so i did a u substitution letting u=3x so we get 1/3∫sin(2sinh(u)) but i have no idea how to get rid of the sinh, i tried writing in exponential form or maybe i have to use some identity.. I am not sure where...
Quick question what would I do if something acceleration is changing oVer time, like in a certain interval it's 3m/s^2 then for 6 seconds it's zero and then the next x about of seconds it's a negative value... How would I go about finding like a total velocity... Questions of this manner make...
Well I could try to get some function of t using my initial conditions and integrate it... But I'm honestly not too sure... I was just making up example problems to test solving by graphing and it didn't work out as easily as I thought or wished it had :(
so this is just a general question but is it possible to solve all one dimensional motion problems by making graphs, i feel like if that's the case I wouldn't need to use the kinematic equations. I usually get caught up on problems where acceleration changes over time and I have to do...
Okay well I know because it is being rotated around a line y=4 that is not on the axis it follows that the integral from a to be which in this case would be -pi/2 to 3pi/2 of the outer radius squared minus the inner radius squared times pi. I believe that 3 sin(x)+1 was my outer radius because...
Find the volume of the solid generated by rotating the region of the x-y plane between the line Y=4,the curve Y=3sin(x)+1 on the interval [-pi/2,3pi/2] about the line Y=4Hi I am having trouble setting up this problem my guess for the integral would be from -pi/2 to 3pi/2 of (4-3sinx+1)^2 because...