Examinations Papers1896 |
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Σελίδα 44
... maxima and minima values of a function of one independent variable . Find the maxima and minima values of a4 b4 ( a — x ) 2 + ( b − x ) 3 * - 9. State and prove the rule for integration by parts . Integrate the expressions xe , x2 sin ...
... maxima and minima values of a function of one independent variable . Find the maxima and minima values of a4 b4 ( a — x ) 2 + ( b − x ) 3 * - 9. State and prove the rule for integration by parts . Integrate the expressions xe , x2 sin ...
Σελίδα 223
... maxima and minima values of a function of n variables which are connected by n 1 given equations . - If f ( x , y ) is a maximum when x = a , y = b , x , y being connected by the equation ( x , y ) = 0 , shew that Τα + λφα = 0 , το + ...
... maxima and minima values of a function of n variables which are connected by n 1 given equations . - If f ( x , y ) is a maximum when x = a , y = b , x , y being connected by the equation ( x , y ) = 0 , shew that Τα + λφα = 0 , το + ...
Σελίδα 228
... ↑ cos Ꮎ , xar sin 0 , cos 02 Xn− 1 = r sin 01 sin 01⁄2 n- Xr sin 0 , sin 0 , .... n - 1 where On - 1 .... sin On - 2 cos On - 1 sin On - 2 sin On - 1 . 3. Shew how to find the maxima and minima values 228 EXAMINATION PAPERS .
... ↑ cos Ꮎ , xar sin 0 , cos 02 Xn− 1 = r sin 01 sin 01⁄2 n- Xr sin 0 , sin 0 , .... n - 1 where On - 1 .... sin On - 2 cos On - 1 sin On - 2 sin On - 1 . 3. Shew how to find the maxima and minima values 228 EXAMINATION PAPERS .
Σελίδα 229
3. Shew how to find the maxima and minima values of a function of m variables connected by n given equations . .... If f ( x1 , x2 xm ) is a maximum when Xm = am , X1 , Xm being connected ·· by the n equations .. Pr ( X1 , .... Xm ) ...
3. Shew how to find the maxima and minima values of a function of m variables connected by n given equations . .... If f ( x1 , x2 xm ) is a maximum when Xm = am , X1 , Xm being connected ·· by the n equations .. Pr ( X1 , .... Xm ) ...
Σελίδα 341
... maxima and minima values of a function of one independent variable . Find the maxima and minima values of a5 ( a x ) 4 - + b5 ( b − x ) 4 ° 9. State and prove the rule for integration by sub- stitution . Integrate 1 √ a2 — x2 , ex + e ...
... maxima and minima values of a function of one independent variable . Find the maxima and minima values of a5 ( a x ) 4 - + b5 ( b − x ) 4 ° 9. State and prove the rule for integration by sub- stitution . Integrate 1 √ a2 — x2 , ex + e ...
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Άλλες εκδόσεις - Προβολή όλων
Δημοφιλή αποσπάσματα
Σελίδα 25 - In consecrated earth And on the holy hearth The Lars and Lemures moan with midnight plaint ; In urns, and altars round, A drear and dying sound Affrights the Flamens at their service quaint ; And the chill marble seems to sweat, While each peculiar Power forgoes his wonted seat.
Σελίδα 324 - He feels from Juda's land The dreaded Infant's hand; The rays of Bethlehem blind his dusky eyn; Nor all the gods beside Longer dare abide, Not Typhon huge ending in snaky twine : Our Babe, to show his Godhead true, Can in his swaddling bands control the damned crew.
Σελίδα 42 - There were hills, which garnished their proud heights with stately trees ; humble valleys, whose base estate seemed comforted with the refreshing of silver rivers: .meadows, enamelled with all sorts of eye-pleasing' .flowers ; thickets, which being lined with most pleasant shade were witnessed so...
Σελίδα 63 - Perhaps there is no more impressive scene on earth than the solitary extent of the Campagna of Rome under evening light. Let the reader imagine himself for a moment withdrawn from the sounds and motion of the living world, and sent forth alone into this wild and wasted plain. The earth yields and crumbles beneath his foot, tread he never so lightly, for its substance is white, hollow, and carious, like the dusty wreck of the bones of men. The long knotted grass waves and tosses feebly in the evening...
Σελίδα 190 - Namque canebat, uti magnum per inane coacta semina terrarumque animaeque marisque fuissent et liquidi simul ignis; ut his exordia primis omnia et ipse tener mundi concreverit orbis...
Σελίδα 213 - Whosoever is delighted in solitude, is either a wild beast or a god : '' for it is most true, that a natural and secret hatred and aversion towards society in any man hath somewhat of the savage beast ; but it is most untrue that it should have any character at all of the divine nature, except it proceed, not out of a pleasure in solitude, but out of a love and...
Σελίδα 440 - Fame is the spur that the clear spirit doth raise (That last infirmity of noble mind) To scorn delights and live laborious days; But the fair guerdon when we hope to find, And think to burst out into sudden blaze, Comes the blind Fury with the abhorred shears, And slits the thin-spun life. "But not the praise...
Σελίδα 328 - Le style ne peut donc ni s'enlever, ni se transporter, ni s'altérer : s'il est élevé, noble, sublime, l'auteur sera également admiré dans tous les temps; car il n'ya que la vérité qui soit durable, et même éternelle.
Σελίδα 204 - Were you the earth, dear love, and I the skies, My love should shine on you like to the sun, And look upon you with ten thousand eyes, Till heaven waxed blind, and till the world were done.
Σελίδα 49 - C'est faute de plan, c'est pour n'avoir pas assez réfléchi sur son objet, qu'un homme d'esprit se trouve embarrassé, et ne sait par où commencer à écrire.