Answer:
6.3333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
19/3=6.3333333333333333333333333
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
Answer:
A table that has (0,0), (-1,1), (-4, 2) and undefined for any positive x value
Step-by-step explanation:
Reflecting across the y axis just changes the x values, it makes them negative. so 
has points (0,0), (1,1), (4, 2) and so on. reflecting over the y axis makes them(0,0), (-1,1), (-4, 2) and again so on.
Also good to mention in negative x values are undefined, so flipped over the y axis positive x values are undefined.
As for the answer it doesn't look like any of those shown. The first one is close, but the x values would need to swap their signs.
We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.
