Welcome To Class : XII Subject : Maths Chapter : 7 Chapter : Applications Of Differential Calculus IMPORTANT QUESTIONS 2 & 3 Marks Questions 1. The temperature T in Celsius in a long rod of length 10m , insulated art both ends , is a function of length x given by T = x ( 10 – x) . Prove that the rate of change of temperature at the mid point of the rod is zero. 2). A person learnt 100 words for an English test. The number of words the person remembers in t in days after learning is given by w( i ) = 100 X (1-0.1 t)², 0 ≤ t ≤ 10 what is the rate at which the person forgets the words 2 days after learning? 3). A particle moves so that the distance moved is according to the law s(t) = (t³/3)-t²+3. At what time the velocity and acceleration are zero respectively? 4). A camera is accidently knocked off an edge of a cliff 400 ft high. The camera falls a distance of s = 16t² ...
