Calendar: 1873-1874 Page 543

GENERAL LITERATURE AND SCIENCE 543 17 Solve triangle when two sides are given and the included angle Example The two sides are as to the included angle is 47 25 log 30103 tan 66 1710-3573942 "30 tan 15 539-4541479 Diff for 10004797 IV -Differential an integral Calculus Differentiate by first principles sinjr and tana and give geometrical illustration in each case Differentiate tanx 3a2x x3 χ ν tan ------ 10g Explain the notation of the integral calculus and deduce the value of xdx from the formula for the summation of series in arithmetical progression Integrate Γ sin4 3dx Evaluate tann 7r1 when χ xnan πχ -0' when χ ץ sin י x" when oc Establish Taylor's Theorem and express the remainder in the form of definite integral Hence deduce Maclauren's Theorem and apply it to expand