Calendar: 1873-1874 Page 538

538 GENERAL LITERATURE AND SCIENCE 13 Write down the middle term of 10 זג the term of and show that 21 4$ 8Λ 16Λ 14 Find the least number which being divided by 28 19 and 15 leaves remainders 13 and xi 15 Determine the limits between which -------- lies 21 זג for all real values of 16 Find the least values of the expressions χ and χ χ χ 17 Enunciate and prove Fermat's Theorem Prove that the eleventh power of number is of one of the forms 23 23r 18 Find the number of terms in the expansion of 19 Eliminate χ and from ax by χ xy 2זג y2 y3 -f a-bY yi 20 Find the coefficient of 4זג in the expansion of bx ex2 dx3 -1 and that of in 11 דג£ זגs 7זג' Π -aigtbra anU Cijtorn of equations If זג ζ ρ ί2 tp χ3 y3 י find the value of xyz and form the equations of which ζ are the roots Show that if 2זג ax x3 ax have common factor it must be זג also if זג זג are factors of זג4 2זג 3זג then 36a 304 19tf