In a certain chemical reaction the amount, x grams, of a substance is decreasing. The differential equation relating x and t, the time in seconds since the reaction started, is dx : -kxyt, dt yang mana k ialah pemalar positif. Diberi bahawa x=100 pada permulaan tindak balas. where k is positive constant. It is given that x = 100 at the start of the reaction. (a) Selesaikan persamaan pembezaan, dapatkan hubungan antara x, t dan k. Solve the differential equation, obtaining a relation between x,t and k. (b) Diberi bahawa t = 25 apabila x = 80, cari nilai t apabila x = 40. Given that t = 25 when x = 80, find the value oft when x = 40. %3D

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