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:
W is either 4, 5, 6, or 7.
Step-by-step explanation:
Good evening ,
Answer:
<h2>(3,15)</h2>
Step-by-step explanation:
y=5x then
4x-y= -3 ⇌ 4x-5x= -3 ⇌ -x= -3 ⇌ x=3
and since y=5x then y=5×3=15.
______________________________
:)
Answer:
≈$4607
Step-by-step explanation:
I will assume it's compounded yearly.
Apply the compound interest formula.
A = Total
P = Initial Principle
r = Interest Rate
n = number of interest in every t period
t = number of periods
In the case,
P = 3500
r = 3.1% = 0.031
n = 1
t = 9
Hence,
A ≈ 4607 (nearest whole number)
