The Cambridge Examiner, Volume 2J. Palmer, 1882 - Education, Higher |
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Page 29
... equations : - x + 6 52 – 16 - ( i ) < = 8 - x ; 2 4 72 + 6x 3x - 4 64 7x ( ii ) 3 = - 2 3 6 ( iii ) x + 4y = 21 , 7x - 2y = 27 ; ( iv ) x2 + 4xy + 3y2 = 105 , x2 + 2xy + y2 = 49 . 8. Solve the equations : ( i ) √ ( THE CAMBRIDGE ...
... equations : - x + 6 52 – 16 - ( i ) < = 8 - x ; 2 4 72 + 6x 3x - 4 64 7x ( ii ) 3 = - 2 3 6 ( iii ) x + 4y = 21 , 7x - 2y = 27 ; ( iv ) x2 + 4xy + 3y2 = 105 , x2 + 2xy + y2 = 49 . 8. Solve the equations : ( i ) √ ( THE CAMBRIDGE ...
Page 30
8. Solve the equations : ( i ) √ ( 4x −12 ) + √√ ( 7x − 3 ) = √√9x + 13 ; x2 + 4x + 6x2 - x - 3 ( ii ) х 2 9. Multiply x - 4 ( i ) a1 + 2a1b3 + ba by a * - 2a1ba — b7 ; ( ii ) x1ył + 4x3y2 + 2x3 by x3y1 + 4x ‡ y§ — 2x§ . 10. Two ...
8. Solve the equations : ( i ) √ ( 4x −12 ) + √√ ( 7x − 3 ) = √√9x + 13 ; x2 + 4x + 6x2 - x - 3 ( ii ) х 2 9. Multiply x - 4 ( i ) a1 + 2a1b3 + ba by a * - 2a1ba — b7 ; ( ii ) x1ył + 4x3y2 + 2x3 by x3y1 + 4x ‡ y§ — 2x§ . 10. Two ...
Page 33
... equations : ( i ) sin 70 cos 20+ sin 20 = ; ( ii ) sin 20+ sin 30 = 0 . 5. Find the equation to a straight line which passes through the point ( 2 , -3 ) and makes an angle of 45 ° with the axis of x . - 6. The equations to two straight ...
... equations : ( i ) sin 70 cos 20+ sin 20 = ; ( ii ) sin 20+ sin 30 = 0 . 5. Find the equation to a straight line which passes through the point ( 2 , -3 ) and makes an angle of 45 ° with the axis of x . - 6. The equations to two straight ...
Page 38
... Why is hydric sulphate said to be dibasic ? 2. What is the action of hydrochloric acid on zinc , iron , and magnesium ? Express the reaction in equations . 3. Explain the following terms : amalgam , basic oxide 38 THE CAMBRIDGE EXAMINER .
... Why is hydric sulphate said to be dibasic ? 2. What is the action of hydrochloric acid on zinc , iron , and magnesium ? Express the reaction in equations . 3. Explain the following terms : amalgam , basic oxide 38 THE CAMBRIDGE EXAMINER .
Page 77
... equations : x + 10 ( i ) 3 3x + 6 x + 5 7 5 ( ii ) ( x + 5 ) ( x + 3 ) + x2 + 4 + 3 = 3 ( x2 + 2x − 3 ) ; - ( iii ) ( x + 5 ) ( x + 21 ) + ( x + 3 ) ( x + 2 ) = 71 ( x − 1 ) . 8. Find two numbers such that the first increased by 4 is ...
... equations : x + 10 ( i ) 3 3x + 6 x + 5 7 5 ( ii ) ( x + 5 ) ( x + 3 ) + x2 + 4 + 3 = 3 ( x2 + 2x − 3 ) ; - ( iii ) ( x + 5 ) ( x + 21 ) + ( x + 3 ) ( x + 2 ) = 71 ( x − 1 ) . 8. Find two numbers such that the first increased by 4 is ...
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Popular passages
Page 405 - REVENGE is a kind of wild justice; which the more man's nature runs to, the more ought law to weed it out. For as for the first wrong, it doth but offend the law; but the revenge of that wrong putteth the law out of office.
Page 356 - I was dressed, and found that his landlady had arrested him for his rent, at which he was in a violent passion. I perceived that he had already changed my guinea, and had got a bottle of madeira and a glass before him. I put the cork into the bottle, desired he would be calm, and began to talk to him of the means by which he might be extricated.
Page 28 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Page 303 - Felix qui potuit rerum cognoscere causas, Atque metus omnes et inexorabile fatum Subjecit pedibus, strepitumque Acherontis avari!
Page 347 - Their number last he sums. And now his heart Distends with pride, and hardening in his strength Glories ; for never since created man Met such embodied force, as named with these Could merit more than that small infantry Warred on by cranes : though all the giant brood Of Phlegra...
Page 273 - What matter where, if I be still the same, And what I should be ; all but less than He Whom thunder hath made greater...
Page 364 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Page 315 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Page 356 - I received one morning a message from poor Goldsmith that he was in great distress, and as it was not in his power to come to me, begging that I would come to him as soon as possible. I sent him a guinea, and promised to come to him directly. I accordingly went as soon as I was dressed, and found that his landlady had arrested him for his rent, at which he was in a violent passion. I perceived that he had already changed my guinea, and...
Page 471 - All places that the eye of heaven visits Are to a wise man ports and happy havens. Teach thy necessity to reason thus ; There is no virtue like necessity.