Consider the infinite region bounded by the curves y=1/x, x=1, and the x-axis. show that the solid obtained by rotating this region about the x-axis has finite volume, but infinite surface area. why? "this question is my professor make up it and it's worth it for 2 credit, so me."

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

You wanted to draw an enlargement of design that printed on a card that is 4 in by 5

Find the length of the normal and the angle it makes with the positive x-axis. (see pictured below)