MAS120 - Applied Mathematics Final Examination - SP3 20 14. [5 marks] Using calculus and showing all your working, find the area between the curves (c) Given that the cake has cooled to 90'C after 1 hour, determine the constant K. f(x) - 4vr and g(x) =12. d) The cook decides that the cake is cool enough to be taken out of the cake pan when its temperature lowers to 40 degrees C. Find when this will happen, both in exact form and as a decimal approximation to at least 2 decimal places, showing all working. 15. [4 marks] Find the volume of the solid of revolution formed by rotating f(r) = Etz-1 about the r-axis for 1