29. 0000000000000032.

30. 32 ft.

VII.

VIII.

33. 2.

34. 50; 2.

35. First differential co-efficients are 38, 74 and 2002; the second differential co-efficients are 2, 2, 2.

1X.

36. 12; 12; 6; or 3 × 22; 3×2×2; 3×2× 1, 37. 4 x 23; 4×3×22; 4×3×2×2; 4× 3 × 2 × 1. 38. 7x6x5x4×3×2×1=17.

72. n(n − 1)(n − 2) (n − 3)(n − 4) (n − 5) (n − 6) ×

73. 1×2×3.

15

(n-7)xn-8.

74. x2+2αx-3.

4

75. 4×5x6x7x8x-9.

76. sin x and cos x. 79. 4.302.

80. 1.165,

XIX.

81. Maximum when x=8.

82. Maximum when x=a, function=a3. Minimum when x=2a, function = 0. 83. x=0 gives a maximum.

x=2a gives a minimum.

84. x=1 gives a maximum. x=4 gives a minimum.

38 85. ; . 27

January, 1885.

A Catalogue

OF

Educational Books

PUBLISHED BY

Macmillan & Co.,

BEDFORD STREET, STRAND, LONDON.

CLASSICS

INDEX.

ELEMENTARY CLASSICS.

CLASSICAL SERIES

CLASSICAL LIBRARY, (1) Texts, (2) Translations

GRAMMAR, COMPOSITION, AND PHILOLOGY

ANTIQUITIES, ANCIENT HISTORY, AND PHILOSOPHY

MATHEMATICS

ARITHMETIC

ALGEBRA

EUCLID, AND ELEMENTARY GEOMETRY

MENSURATION

HIGHER MATHEMATICS

SCIENCE

NATURAL PHILOSOPHY

ASTRONOMY.

CHEMISTRY

BIOLOGY

39

MEDICINE

39

ANTHROPOLOGY

41

AGRICULTURE

PHYSICAL GEOGRAPHY,

46

46

47

48

49

53

62

63

DOMESTIC ECONOMY

ART AND KINDRED SUBJECTS

65

DIVINITY