question 1

EXERCISE 9.1 Find the first and second derivatives of the function tabulated below at the point x = 19 X 1.0 1.2 1.4 1.6 1.8 2.0 /(x) 0 0.128 0.544 1.296 2.432 4.00 (Madras 1991) 2. The following data gives corresponding values of pressure and specific volume of super-heated steam. V 2 4 6 8 10 P 105 42.07 25.3 16.7 13 (0) Find the rate of change of pressure with respect to volume when V =2. (ii) Find the rate of change of volume with respect to pressure when P = 105. 3. Find y' (0) and y"(0) from the following table: 0 2 3 4 LA 15 7 6 2 From the values in the table given below, find the value of sec 31" using numerical differentiation. 32 33 34 31 Land 0.6008 0.6249 0.6494 0.6745