Assignment 2 (10%) Assignment 2 is graded with a total of 100 marks and it contributes 10 percent towards your course grade. [10 marks} (6 marks) (1 marks) (3 marks) [10 marks}I (5 marks) (5 marks) 1. A roast turkey is taken from an oven when its temperature has reached 85 OC and then placed on a cooling rack. Over time, its temperature is recorded at 30-minute intervals with the following results: mum man a. Find the average rate of change of temperature over each of the intervals: [30, 60], [60, 90], and [30, 90]. Include the units. b. Estimate the instantaneous rate of change of temperature after 1 hour. c. Draw a graph by hand and use it to estimate the instantaneous rate of change of temperature after 1 hour. x4 a. Make a table of values of f(x) = '54 4.1.4.01, 4.001, ---and x = 3.9, 3.99, 3.999, to guess the x4 andx = value f lim 0 x.4 \\EZ x4 b. Use an a r riate factorization t find lim . pp 013 0 xu; x/EZ [20 marks] (4 marks) (4 marks) (4 marks) (4 marks) (4 marks) [12 marks] (4 marks) (6 marks) (2 marks) 3. Find the limit: (3+h)'23'2 a- as h x2+x6 b. lim x_.2 x22x . 3x2 \\/9x4+x+2 C. 11111 x2 x3 +23:2 . 23::r2 (1. 11m xmo 6x2+5 . 4 . 1 e. llmx sm 2 xb 2X +336 4. Consider the function f(x) given by 0 x