Y+2=-4x+24
2=-4x-y+24
-22=-4x-y
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
2x-1.1/4+x/3=2
2x-1/4+x/3=2
2x-1/4+x/3+1/4=2+1/4
2x+x/3=9/4
3(2x+x/3)=3.94
7x=27/4
7x/7=27/4/7
x=27/8
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103 1/3. In February, it will be 1243 1/3. In March, it will be 1346 2/3. In April, it will be 1450.
Answer:
-4
Step-by-step explanation:
Use the given value of f(1) to find f(2):
f(2) = f(1) · (-1/2) = (-16)(-1/2) = 8
Now, we can find f(3) using f(2):
f(3) = f(2) · (-1/2) = (8)(-1/2)
f(3) = -4
