This is a problem that I have looked to other sources to help me, but all they have done is just made me confused.
Snow is forming on the ground at a rate given by dy/dt = 2√t +1 inches per hour where y is the depth of the snow in inches at time t measure in hours since the snow started forming.
a)Use 4 left hand triangles to make under-approximation. Did that, no problem.
Suppose now that you are also given that y(t) = 4/3*t^3/2 +t. Use y to determine exactly how much snow fell between 2 hours anb 4 hours after the snow began to fall.
I guess I'm just confused about what to do with that equation. I think I was told that I have to change it to an integral and something about adding 1, but that doesn't make sense to me.
Thanks to any who are willing to help!
Snow is forming on the ground at a rate given by dy/dt = 2√t +1 inches per hour where y is the depth of the snow in inches at time t measure in hours since the snow started forming.
a)Use 4 left hand triangles to make under-approximation. Did that, no problem.
Suppose now that you are also given that y(t) = 4/3*t^3/2 +t. Use y to determine exactly how much snow fell between 2 hours anb 4 hours after the snow began to fall.
I guess I'm just confused about what to do with that equation. I think I was told that I have to change it to an integral and something about adding 1, but that doesn't make sense to me.
Thanks to any who are willing to help!