HONOURS. Second Year Histology. 1. Name, from without inward, the structures composing a Graafian follicle, its covering and contained ovum. 2. What cells secrete mucus in (a) the œsophagus, (b) stomach and (c) small intestines? 3. How would you distinguish (a) a section of oesophagus from one of bladder? 4. Draw, describe and identify the three sections submitted. FACULTY OF PRACTICAL SCIENCE. Mathematics-Second Year Engineering. 1. (a) Develope a formula for finding the sum of n terms of an arithmetical progression. (b) Two drains branch off at an angle of 60°, and 100 ditches are dug from one to the other so as to be equally inclined to each drain. The first ditch is 100 feet long and the ditches are parallel and 100 feet apart. Find the total length of all the ditches. 2. (a) Write out the value of "C,, and thence prove "C="Cn-r (b) 7 towns are connected in every order by railways. How many railways are there in all? 3. Write out the expansion of (1+x)”, and of (1—x)—”. 4. (a) Find the first 6 convergents of 223, 2097 (b) Prove that the convergents immediately before a large partial quotient is a close approximation. 5. Give either a calculation or a geometrical construction for cutting off the corners of a square so as to form a regular octagon. 6. (a) Prove that any two transversals to a system of parallels are similarly divided by the parallels. (b) Given a scale of inches show how to construct a scale ofths of an inch to the inch. 7. Make a table which shall express each one of the sin, cos and tan in terms of each of the others. |