Find the volume of the solid obtained by revolving the region bounded by the graphs of the functions about the x-axis. Hint: You will need to evaluate two integrals. (Assume x > 0.) y = 1/x , y = x, and y = 2x

Using the washer method, the volume is given by

and using the shell method, it is

Either integral gives a volume of

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

76%

step-by-step explanation:

24% are dogs and the remaining is 76% because 100-24=76