Y = f(x) = -3x
y = -3x
y = (constant) x
y is proportional to x.<span>
Hence we can say Y is proportional to x , having (-3) as proportionality Constant. hope this helps</span>
Answer:
Step-by-step explanation:
Given that a firm has a price of $5, an average total cost of $7, and an average variable cost of $4
Price = 5
Var cost = 4
Contribution = 1 dollar per unit
Since contribution is positive, there is scope for getting profit by increasing production.
In the short run, you should __operate______(operate/shut down) because __Price______exceeds ________ average variable cost price . In the long run, you should __exit______(stay in/exit) the market because ________ average total cost price exceeds____price.______average variable cost price average total cost
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.