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."

good luck on your studies! : )

david edward.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.