Can I just run a red 12 gauge solid wire separately along side of 12-2 solid wire to make it 12-3?

If the temperature starts at stp and changes to 40 degrees C and we have constant volume what would be the new pressure in mmhg?

How would I find the volume enclosed by these two curves if I were to rotate it about the x-axis? curves: y=x and y=(x^2)-4x+4 I know the curves intersect at x=1 and 4, I think that the area enclosed by the graph is 4.5 by taking the integral between the two limits, but volume when rotated...

\y=x{e}^x finite region R which is bounded by the curve y=xe^x the line x=1 and the line x=3 and the x axis the region R is rotated through 360 degrees (2pi) about the x axis use integration by parts to find an exact value for the volume of the solid generated i think i can do the...