Find where the two curves intersect:
<em>y</em> = 6<em>x</em> - 2<em>x</em> ²
<em>y</em> = <em>x</em> ²
6<em>x</em> - 2<em>x</em> ² = <em>x</em> ² → 3<em>x</em> ² - 6<em>x</em> = 3<em>x</em> (<em>x</em> - 2) = 0 → <em>x</em> = 0 and <em>x</em> = 2
Now, for a shell of radius <em>x</em> units away from the axis of revolution, the height of the shell would be the vertical distance between the upper curve and the lower curve. For 0 ≤ <em>x</em> ≤ 2, we have 6<em>x</em> - <em>x</em> ² ≥ <em>x</em> ², so the height of any given shell is (6<em>x</em> - <em>x</em> ²) - <em>x</em> ² = 6<em>x</em> - 2<em>x</em> ².
Then volume of the solid is
Your answer will be
-21h-56
H=2
Answer: 15w
Step-by-step explanation:
Answer:
It's basically just simplifying . Also for a little extra cheat just look up MathPapa or whatever the subject in math is and end it with calculator, usually these really help solve problems!
Good Luck, Hope those come in handy :))
Find common denominators
2/20+3/20
then multiply 3x4=12/20
then 2x5=15/20
last add that 27/20