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as level p1 👍👍👍 find volume of graph?

1 Answer
- ?Lv 71 year agoFavorite Answer
1. y = x + 4/x
y' = 1 - 4/x^2 = 0
x^2 - 4 = 0
(x + 2)(x - 2) = 0
x = 2 is min ... (x = -2 would be a max .. is not shown on the graph)
5 = x + 4/x
5x = x^2 + 4
x^2 - 5x + 4 = 0
(x - 1)(x - 4) = 0
a= 1 and b = 4 ... m = 2
2. V = integral [1 to 4] pi x^2(5 -(x + 4/x)) dx
= pi integral [1 to 4] [5x^2 - x^3 - 4x] dx
= pi [(5/3)x^3 - (1/4)x^4 - 2x^2] [1 to 4]
= pi [ (320/3 - 64 - 32) - ( (5/3) - (1/4) - 2) )]
= 45pi/4 <<< answer