15. A cylindrical chemical storage tank with a capacity of 950m³ is going to be constructed in a warehouse that is 11m by 14m with a height of 10m. The specifications call for the case to be made of sheet metal that costs $90/m², the top to be made from sheet metal that costs $45/m² and the wall to be made of sheet metal that costs $80/m². If you want to minimize the cost to make the storage house, how much would you end up spending to build the tank?! 1. Considering the following graph of f(x). + -2- 0 -2 4 6 i. Circle the interval(s) where f'(x) is positive. a) (-infinity, 0), (2, 4) c) (1, 3), (4, 4.5) b) (-infinity, 1), (3, 4.5) d) (3,2), (2,5) ii. Circle the interval(s) where f'(x) is negative. a) (0, 1), (4.5, 6) b) (0, 2), (4, 4.5), (4.5, 6) c) (-infinity, 1), (3, 4.5), (5, 6) d) (-infinity, -3), (4.5, 6)

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15. A cylindrical chemical storage tank with a capacity of 950m³ is going to be constructed in a
warehouse that is 11m by 14m with a height of 10m. The specifications call for the case to be
made of sheet metal that costs $90/m², the top to be made from sheet metal that costs $45/m² and
the wall to be made of sheet metal that costs $80/m². If you want to minimize the cost to make
the storage house, how much would you end up spending to build the tank?!
Transcribed Image Text:15. A cylindrical chemical storage tank with a capacity of 950m³ is going to be constructed in a warehouse that is 11m by 14m with a height of 10m. The specifications call for the case to be made of sheet metal that costs $90/m², the top to be made from sheet metal that costs $45/m² and the wall to be made of sheet metal that costs $80/m². If you want to minimize the cost to make the storage house, how much would you end up spending to build the tank?!
1. Considering the following graph of f(x).
+
-2-
0
-2
4
6
i. Circle the interval(s) where f'(x) is positive.
a) (-infinity, 0), (2, 4)
c) (1, 3), (4, 4.5)
b) (-infinity, 1), (3, 4.5)
d) (3,2), (2,5)
ii. Circle the interval(s) where f'(x) is negative.
a) (0, 1), (4.5, 6)
b) (0, 2), (4, 4.5), (4.5, 6)
c) (-infinity, 1), (3, 4.5), (5, 6)
d) (-infinity, -3), (4.5, 6)
Transcribed Image Text:1. Considering the following graph of f(x). + -2- 0 -2 4 6 i. Circle the interval(s) where f'(x) is positive. a) (-infinity, 0), (2, 4) c) (1, 3), (4, 4.5) b) (-infinity, 1), (3, 4.5) d) (3,2), (2,5) ii. Circle the interval(s) where f'(x) is negative. a) (0, 1), (4.5, 6) b) (0, 2), (4, 4.5), (4.5, 6) c) (-infinity, 1), (3, 4.5), (5, 6) d) (-infinity, -3), (4.5, 6)
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