1. [16 marks] A baker has placed some bread dough into a warm room to allow it to rise. The temperature of the dough t hours after it is placed in the warm room is given by T(t) = 30 20 (:11):- After 2 hours the baker removes the bread dough from the warm room and allows it to cool. After the dough has been removed from the warm room its temperature is given by T(t) = 10 + 15 (at where t is now the number of hours since the bread was removed from the warm room. (a) Graph the temperature of the bread dough for the 6 hours following the time it was placed in the warm room. (b) What was the maximum temperature of the dough during this 6 hour period? (c) How fast was the temperature of the dough changing immediately after it is removed from the warm room? (d) How long must the baker wait after removing the dough for the temperature to drop to 13.75 0C? 2. [18 marks] Evaluate the following integrals (a) Is 5x 4x3dx (b) fxT-gdx (c) 2 (2% z%) dz (d)f12(2+u)(2u)du 3. [8 marks] Find the equation of the tangent to the curve 3; = \\/(x2 + 4) at x = 1. 4. [8 marks] (a) Find (b) Hence evaluate