Recent content by crm07149

If work is displacement times force, lifting a weight up and bringing it down to the same spot would have zero displacement, and thus zero work is done. However, isn't work a path function? In thermo we learned that heat and work were path functions while quantities such as internal energy and...

Homework Statement Is H3CC(=O)CH2CH3 more likely to act as a Lewis Acid or Lewis Base? Explain your choice. Same for HCO2H (formic acid)Homework Equations N/AThe Attempt at a Solution Since a Lewis Base donates electron pairs, and the oxygen in H3CC(=O)CH2CH3 has two lone pairs, I reasoned...

What do you mean by polynomial division? u-substitution with u = y-1 brings it to int(y^2/u)du, with both y and u variables

Homework Statement Solve the following equation by separating variables.Homework Equations x2y2y' +1 = yThe Attempt at a Solution I have been able to work through the problem to this point: -1/x + C = int(y2/y-1)dy I am not sure how to integrate the right hand expression int(y2/y-1)dy

The problem was from my textbook under the "separable equations" section so I listed it as that. Integrating the expression √(4-(h-2)²) is what I was having trouble with. I tried u substitution, integration by parts, and other methods for awhile. Am I missing something obvious to integrate the...

Homework Statement The volume V of water in a particular container is related to the depth h of the water by the equation dV/dh below. If V = 0 when h = 0, find V when h = 4.Homework Equations dV/dh = 16 sqrt(4-(h-2)2) V(0) = 0 V(4) = ?The Attempt at a Solution I have not gotten the ODE in a...