Question textGuidelines to answer the following question:Fill in the blanks with the correct answers. Do NOT use any spaces or brackets. For all numerical answers, give EXACT values (i.e. do not round your answers) unless instructed otherwise in the question. If using fractions, give answers as SIMPLIFIED fractions using the forward slash (e.g. 1/2 or 5/4). Use - for any negatives. _____________________________________________________________This question is worth 3 + 2 = 5 marks.A cup of coffee is left to cool in a room. The temperature, [math: C], in degrees Celsius, of the coffee at time [math: t] minutes is given by the equation:[math: C(t)=70e−0.3t+15]a) Fill in the blanks and find the average rate of change of the temperature of the coffee over the first [math: 10] minutes. When [math: t=0], [math: C=] Answer 1 Question 6[input]When [math: t=10], [math: C=] Answer 2 Question 6[input] (correct to 4 decimal places).Hence the average rate of change is Answer 3 Question 6[input] degrees Celsius per minute (correct to 2 decimal places). [3 marks]b) The derivative of the function [math: C(t)] is presented in the form [math: C′(t)=Ae−0.3t]State the value of [math: A] and hence find how many minutes it will take for the instantaneous rate of change of the temperature to be [math: −4] degrees Celsius per minute.[math: A=]Answer 4 Question 6[input] The time taken is Answer 5 Question 6[input] minutes (correct to the nearest integer). [2 marks]Please answer all parts of the question.多项填空题