Temperature of a rod is increased by moving x distance from origin and is given by equation T(x) = x2 + 2x, where x is the distance and T(x) is change of temperature w.r.t distance. If, at x = 0, temperature is 40 C, find temperature at x=10.
Temperature of a rod is increased by moving x distance from origin and is given by equation T(x) = x2 + 2x, where x is the distance and T(x) is change of temperature w.r.t distance. If, at x = 0, temperature is 40 C, find temperature at x=10. Correct Answer 473 C
Temperature at distance x is, T = ∫T(x) dx = ∫x2 + 2x dx = x3⁄3 + x2 + C At x=0 given T = 40 C C = T(x = 0) = 40 C At x= 10, T(x = 10) = 1000⁄3 + 100 + 43 = 473 C.
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Feb 20, 2025