6) Find the length of the curve
I try many different way but I cant seem to find the rite answer! can you tell me the answer?
This is wrong. the derivative of is so the derivative of is and the derivative of is
Similarly, the derivative of is .
Where in the world did the " " come from? You are calculating the arc-length of a path, not rotating anything around an axis! You seem to be grabbing formulas at random. The arclength of f(y), from y= a to b isthen i have 2pi int from -343 to 512 [(3)(y^4/3) - (3/32)(y^2/3)][sqrt[ 9( y^1/3)- (-9/32)(y^-1/3)] ???
I am not sure what I am doing... can you show me how to solve and the right answer?
Now, with , .
Notice that adding 1 to that just changes the "- 1/2" to "-1/2". And since that was a "perfect square" so is this: If x and y are such that 2xy= 1/2, then and then .
In other words, is also a perfect square and so we can get rid of the square root!