Please help me with the following math question!!! Consider the region in the plane, R, bounded by the x-axis, the y-axis, the graph of y = e^z, and the line x = 1. For each of the following, write a definite integral on an expression involving a definite integral which would yield the desired quantity.

(a) the volume of the solid obtained by revolving R around the x-axis.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

144.50

step-by-step explanation:

21.5 x 13.4=288.10 divide by 2

answer: apothems is your answer

step-by-step explanation: hope u get it right