The solution would be like
this for this specific problem:
<span>V = ∫ dV </span><span>
<span>= ∫0→2 ∫
0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr </span>
<span>= ∫0→2 ∫
0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr </span>
<span>= ∫0→2 ∫
0→π/2 [ 2·r²·sin(φ) ] dφdr </span>
<span>= ∫0→2 [
-2·r²·cos(π/2) + 2·r²·cos(0) ] dr </span>
<span>= ∫0→2 [
2·r² ] dr </span>
<span>=
(2/3)·2³ - (2/3)·0³ </span>
<span>= 16/3 </span></span>
So the volume of the
given solid is 16/3. I am hoping that these answers have satisfied
your query and it will be able to help you in your endeavors, and if you would
like, feel free to ask another question.
Answer:
c =3
Step-by-step explanation:
4c = 12
Divide each side by 4
4c/4 =12/4
c = 3
Answer:
x² + 8x + 12
Step-by-step explanation:
see
the length of the entire rectangle = x + 6
breadth of the entire rectangle = x + 2
area of a rectangle = length × breadth
= (x + 6)(x + 2)
= x² + 8x + 12
which is the required polynomial in standard form
5+4+2(-3)+7+(-5)
or
5+4+2-3+7+(-5)?
