Answer:
Step-by-step explanation:
Because of the symmetry, we can just go from x=0 to x=2 to find the area between
<span>y = x^2 and y = 4 </span>
<span>that area = ∫4-x^2 dx from 0 to 2 </span>
<span>= [4x - (1/3)x^3] from 0 to 2 </span>
<span>= 8 - 8/3 - 0 </span>
<span>= 16/3 </span>
<span>so when y = b </span>
<span>x= √b </span>
<span>and we have the area as </span>
<span>∫(b - x^2) dx from 0 to √b </span>
<span>= [b x - (1/3)x^3] from 0 to √b </span>
<span>= b√b - (1/3)b√b - 0 </span>
<span>(2/3)b√b = 8/3 </span>
<span>b√b =4 </span>
<span>square both sides </span>
<span>b^3 = 16 </span>
<span>b = 16^(1/3) = 2 cuberoot(2) </span>
<span>or appr 2.52</span>
Next time, please include the instructions.
This inequality could be broken into two parts:
4m

m + 9 AND m + 9 > -9 + 4m
Focus first on the inequality m + 9 > -9 + 4m. subtract m from both sides, obtaining:
9 > -9 + 3m. Next, add 9 to both sides, obtaining: 18>3m, or m<6
Last step: Determine whether the inequality <span>4m≥m+9 is true if m<6.</span>
Volume formula for a cylinder is pi*r^2*h
h=height=25 feet
r=radius=101.5
Radius is half of the diameter.
Plug those numbers in: pi*101.5^2*25= 809136.822886= 8.09*10^5 hopefully this helps! ^-^