Un sólido es formado al girar alrededor de la recta M:2x+y-6=0 la región limitada por las gráficas de las funciones f(x)=-x^2+4 y g(x)=x^2-4 . ¿Cuál será el volumen del sólido formado?

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

i dont know

step-by-step explanation:

umm. i dont know