अंतराल [0,1] पर वक्र y = x3/2 की लंबाई क्या होगी?

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AAI ATC Junior Executive 2018 Official Paper (Shift 1)
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  1. इकाइयाँ
  2. इकाइयाँ
  3. इकाइयाँ
  4. यूनिट्स

Answer (Detailed Solution Below)

Option 1 : इकाइयाँ
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संकल्पना:

अंतराल (a, b) में वक्र y(x) की लंबाई (L) इसप्रकार दी गई है:

 -----(1)

गणना:

दिया हुआ:

y(x) = x3/2

(a, b) = (0, 1)

समीकरण (1) से

माना कि, u = 4 + 9x

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