Let R be the region in the first quadrant bounded by the y-axis and the graphs of y=4x-x^(3)+1 and y=3/4x.
a)Find the area of R.
b)Find the volume of the solid generated when R is revovled about the x-axis.
c)Write an expression involving one or more integrals that gives the perimeter of R.Do not evaluate

Question

Let R be the region in the first quadrant bounded by the y-axis and the graphs of y=4x-x^(3)+1 and y=3/4x.
a)Find the area of R.
b)Find the volume of the solid generated when R is revovled about the x-axis.
c)Write an expression involving one or more integrals that gives the perimeter of R.Do not evaluate

amistre64 · Answer

function - function determines height

amistre64 · Answer

$$\int f(x)-\int g(x)$$

from 0 to their intersection i spose; unless i missed an ending interval

anonymous · Answer

They intersect where 4x - x^3 +1 = 3x/4 so you could solve a cubic - or guess!
So x^3 - 13x/4 -1 = 0
Hmmmm