T = 2
1. Divide both sides by 2
--> t / 2 =
2. Square both sides
-->
/ 4
= m / k
3. Multiply both sides by k
--> m = k / 4
1. Divide both sides by 2
--> t / 2
2. Square both sides
-->
3. Multiply both sides by k
--> m = k
Solve for x. X+1/2=3/4
2 answers:
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Answer:
Minimum dimensions are r=3cm, h=9cm
Minimum Cost=$254.47
Step-by-step explanation:
Volume of a Cylinder=πr²h
Volume of the Open Top Cylinder=81π cm³.
Therefore:
πr²h=81π
The bottom costs $3 per cm² and the side costs $1 per cm².
Total Surface Area of the open top Cylinder= πr²+2πrh
Cost, C=3πr²+2πrh
As the Volume is fixed.
πr²h=81π
r²h=81
h=81/r²
Modifying C,
We differentiate C with respect to r
C'=
At the minimum cost, C'=0.
Next we solve C'=0 for r
6πr³-162π=0
6πr³=162π
r³=27
r=3
The dimensions of the cylinder at minimum cost are therefore:
r=3 cm
h=81/9=9cm
The minimum cost of the Cylinder
C=3πr²+2πrh
=(3XπX3²)+(2XπX3X9)
=$254.47
Answer:
see attached
Step-by-step explanation:
My choices are shown with green check marks.
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An odd-degree polynomial cannot have a global maximum.
You can write a polynomial in intercept form with complex values:
(x-i)(x+i) = 0
An even degree polynomial does not necessarily have any real roots:
x^2 +2 = 0
