Mathematical Exercises ...1867 |
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Page 49
... remaining ; what had he at first ? 9. ( 1 ) Simplify - - - - - 4x3 — 2x2 + x + 1 — ( 3x3 — x2 — x −7 ) — ( x3 —4x2 + 2x + 8 ) ; ( 2 ) Subtract ( a − b ) x − ( b −c ) y from ( a + b ) x + ( b + c ) y . 10. ( 1 ) Divide x3 + y3 + 3xy ...
... remaining ; what had he at first ? 9. ( 1 ) Simplify - - - - - 4x3 — 2x2 + x + 1 — ( 3x3 — x2 — x −7 ) — ( x3 —4x2 + 2x + 8 ) ; ( 2 ) Subtract ( a − b ) x − ( b −c ) y from ( a + b ) x + ( b + c ) y . 10. ( 1 ) Divide x3 + y3 + 3xy ...
Page 54
... remaining an income of £ 862 10s .; what would his in- come have been had there been no income - tax ? 7. ( 1 ) Find the simple interest on £ 378 2s . 6d . for 7 yrs . at 6 per cent . ( 2 ) If 3s . 51⁄2d . be paid as yearly interest on ...
... remaining an income of £ 862 10s .; what would his in- come have been had there been no income - tax ? 7. ( 1 ) Find the simple interest on £ 378 2s . 6d . for 7 yrs . at 6 per cent . ( 2 ) If 3s . 51⁄2d . be paid as yearly interest on ...
Page 68
... remaining . How much money had he ? 12. Find a fraction whose denominator exceeds its nume- rator by 3 , and which is equal to when 2 is added to the denominator . 13. A draper buys a piece of cloth for £ 12 , and adds as his profit on ...
... remaining . How much money had he ? 12. Find a fraction whose denominator exceeds its nume- rator by 3 , and which is equal to when 2 is added to the denominator . 13. A draper buys a piece of cloth for £ 12 , and adds as his profit on ...
Page 71
... remaining is unfit for use ; at the end of 30 days more , it is reinforced by 2000 men , and then the stores are made to last 110 days longer by putting the men on half rations . Find the num- ber of the original garrison . XLV . 1 ...
... remaining is unfit for use ; at the end of 30 days more , it is reinforced by 2000 men , and then the stores are made to last 110 days longer by putting the men on half rations . Find the num- ber of the original garrison . XLV . 1 ...
Page 75
... remaining . The poor- rate amounts to £ 22 10s . more than the income - tax . Find the original income ; and the number of pence per £ in the poor - rate . 13. ( 1 ) Extract the square root of x4-2ax3 + 5a2x2- 4a3x + 4a1 , and the cube ...
... remaining . The poor- rate amounts to £ 22 10s . more than the income - tax . Find the original income ; and the number of pence per £ in the poor - rate . 13. ( 1 ) Extract the square root of x4-2ax3 + 5a2x2- 4a3x + 4a1 , and the cube ...
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acres angle axis ball base binomial theorem bisected body CALC cent centre of gravity circle coefficient of friction compound interest cube cubic curve determine diameter Divide dwts ellipse equal equilibrium Express Extract the square feet Find the area Find the centre Find the distance Find the equation find the height Find the number Find the value fluid forces acting given horizontal plane inches inclined plane inscribed intersect latus rectum length logarithms lowest terms Multiply parabola parallel particle perpendicular plane triangle pressure Prove pulleys radius rectangular recurring decimal Reduce right-angled sides simple interest Simplify sin² sine smooth Solve the equations square root straight line string surface tangent tons tower TRIG velocity vertex vertical vulgar fractions weight yards
Popular passages
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Page 283 - Find the distance of the centre of gravity of the remainder from the intersection of the diagonals.
Page 378 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 225 - A body is projected with a velocity v in a direction making an angle a with the horizon...
Page 229 - Hence the conditions of equilibrium of any system of forces, acting in one plane upon a rigid body, may be obtained as follows ; I.
Page 202 - A manufacturer having a capital of £5000 on which he can realise by hand labour 10 per cent. profit, buys a machine for £1000, by which his profit on the remainder of his capital is raised to 20 per cent. This machine lasts 5 years. Of how...
Page 88 - A number is divisible by 9 if the sum of its digits is divisible by 9.
Page 295 - Assuming the parallelogram of forces, prove that the algebraic sum of the moments of two forces about a point in the space between their directions is the same as the moment of their resultant.
Page 169 - One company guarantees to pay 5 per cent. on shares of £100 each; another guarantees at the rate of 4f per cent.