The function shown is f(x)= -1/2 cos(x).
sin(x) makes the line way more “curverier” So both sin(x) functions are out. It is NOT 1/2 cos(x) because it would make the y-intercept 0, not .5 In the picture it’s starting at .5 so it’s f(x)=-1/2 cos(x)
We can solve this using substitution.
because x-y=2.5
x=y+2.5
Now substitute x into other equation.
2(y+2.5)^2-2y=125
2y^2+10y+12.5-2y=125
2y^2+8y-112.5=0
Now comes the ugly part
y=-4+-sqrt(16+900)
y=-4+-sqrt916
y=-4+-2sqrt229
x=-1.5+-2sqrt229
Answer:
V=75pi ft^3 or 235.619 ft^3
Step-by-step explanation:
area of base times length
area of circle = pi * r^2 where r = 1/2 * diameter
A = pi * 2.5^2
A= 6.25pi ft^2
multiply by length
V= 6.25pi*12
V=75 pi
