I.-ALG. MENS. 1. a2+2ab+ 2a*c* + ¿a + ca + 26*ct. 2. a2+2 - a* f2 + a2b3 - by + 2; 25 + x1 - 523 — 5.x2+4x+4.

3.

4.

80 80
32
+

5/5 4/4

(3) x = 3, 2; y

= 2, 3.

5. 8+ TO; 2√5 = 2'99...

6. (1) 7. (2) 16, 8. £40. 9. 0, 3010300, 4771213, 6020600, 6989700, 7781513, *8450980, 9030900, 9542426.

10. 9895, log *2000088 = 1*3010491

8.

of r

n = 3. The condition that the coefficient of the rth term = sum

I preceding coefficients is n = r – I.
II. 3*337728, 3°343262, mean 3*340595 acres.

9. 2*69897, 4'90309.

12.

9'537 tons.

tan 22°30′ = √√2 — 1, sec 22°30′ = √√4-2√2, cosec 22° 30′ = √4+2 √√2.

II. (1) ab sin C.

12. 14649733, 3173938.

c2 sin A sin B

(2)

2 sin (A+B)

13. Base 42, angles 90°, and 51° 3' 27" 2.

III.-CONICS, DIFF. CAL. I. A parabola.

6. 48. JO.sec 3ma cosec ma.

II. sin-1

2y'

5. 9'8.

a/22 ( being the ordinate of the fixed point, and 7 the

3

5.

I

I.

a + c

2. (2) x = 5 ± √√6, y = 1 ± √3.

No2

4. I.

B overtakes A in 3 days, and 7 days later A overtakes B.

49° 27′ 34′′. log a = '00001 or a = I very nearly.