Cambridge problems proposed by the moderators to the candidates for mathematical honors at the general examination, 1843, Τόμος 21843 - 30 σελίδες |
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Σελίδα 13
... fail for the latter case : -explain the cause of this . 13. Integrate dx dr dx ( a2 + x2 ) 12 ( x2 + a2 ) √x * + 5a22 5 + 3 cos x PROPOSED BY THE MODERATORS TO THE CANDIDATES FOR MATHEMATICAL HONORS CAMBRIDGE PROBLEMS , 1843 . 13.
... fail for the latter case : -explain the cause of this . 13. Integrate dx dr dx ( a2 + x2 ) 12 ( x2 + a2 ) √x * + 5a22 5 + 3 cos x PROPOSED BY THE MODERATORS TO THE CANDIDATES FOR MATHEMATICAL HONORS CAMBRIDGE PROBLEMS , 1843 . 13.
Σελίδα 13
... minimum , it appears to fail for the latter case : -explain the cause of this . 13. Integrate dx 3 dx dx ( a2 + x2 ) 2 ́ ( x2 + a2 ) √x2 + 5a2 ' 5 + 3 cos x Find the value of π [ * dæ ( tan CAMBRIDGE PROBLEMS , 1843 . 13.
... minimum , it appears to fail for the latter case : -explain the cause of this . 13. Integrate dx 3 dx dx ( a2 + x2 ) 2 ́ ( x2 + a2 ) √x2 + 5a2 ' 5 + 3 cos x Find the value of π [ * dæ ( tan CAMBRIDGE PROBLEMS , 1843 . 13.
Σελίδα 20
... Integrate this equation , and examine the effect of the several terms . Shew that observations of ( u ) might afford a means of B - A determining C SATURDAY , January 7 . QUESTIONS IN PURE MATHEMATICS AND 20 CAMBRIDGE PROBLEMS , 1843 .
... Integrate this equation , and examine the effect of the several terms . Shew that observations of ( u ) might afford a means of B - A determining C SATURDAY , January 7 . QUESTIONS IN PURE MATHEMATICS AND 20 CAMBRIDGE PROBLEMS , 1843 .
Σελίδα 22
... Integrate the equations dy xy J x + x2 = y2 , y ( dy ) 2 + ( 2x− a ) dy — y = 0 . - dx Find the value of So dxε 2 . 12. Having given one of the principal axes through any point of a body , find the other two . Find the principal axes ...
... Integrate the equations dy xy J x + x2 = y2 , y ( dy ) 2 + ( 2x− a ) dy — y = 0 . - dx Find the value of So dxε 2 . 12. Having given one of the principal axes through any point of a body , find the other two . Find the principal axes ...
Σελίδα 27
... Integrate x2 + 3x d2z dx2 dy2 dy + y = x , and u2 + 1 = a ( u , ) " . dx If z = ( 2 ) , and d2z + = 0 , find the form of φ . Shew that j'as г ( m ) г ( n ) dx xm - 1 ( 1 - x ) ” — 1 = г ( m + n ) 1 4. Out of a set of cards , numbered ...
... Integrate x2 + 3x d2z dx2 dy2 dy + y = x , and u2 + 1 = a ( u , ) " . dx If z = ( 2 ) , and d2z + = 0 , find the form of φ . Shew that j'as г ( m ) г ( n ) dx xm - 1 ( 1 - x ) ” — 1 = г ( m + n ) 1 4. Out of a set of cards , numbered ...
Άλλες εκδόσεις - Προβολή όλων
Cambridge Problems Proposed by the Moderators to the Candidates for ... Exam Papers Cambridge Univ Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
asymptotes axes axis centre of gravity circle conjugate diameters cosine curve cylinder determine developable surface diagonal double curvature dx a² ecliptic elastic string ellipse ellipsoid equal equilibrium Find dy Find the centre find the condition Find the equation Find the position Find the ratio fixed point fluid forces act fraction function given plane given point harmonic mean inclined plane January least common multiple MATHEMATICS AND NATURAL meridian minimum Moon's motion NATURAL PHILOSOPHY north polar distance number of terms orbit oscillations osculating plane parabola parallel parallelograms particle point of contact pole pressure projection prove the formula pulley PURE MATHEMATICS QUESTIONS IN PURE r₁ radii radius of curvature radius vector rays refracted rest right angle right-angled triangle roots segment shew smooth horizontal plane sphere spherical triangles surface tangents temperature touch vertex vertical plane x y z
Δημοφιλή αποσπάσματα
Σελίδα 3 - The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances...
Σελίδα 10 - But when a solid angle is formed by three plane angles, the sum of any two of them is greater than the third (Prop.
Σελίδα 10 - Triangles and parallelograms of the same altitude are to one another as their bases.
Σελίδα 6 - ... string passing over a pulley at the top of the inclined plane hangs vertically, supporting a weight (P).
Σελίδα 1 - To express the cosine of an angle of a spherical triangle in terms of the sines and cosines of the sides. Let ABC be a spherical triangle, O the centre of the sphere.
Σελίδα 8 - A Screw of Archimedes is capable of turning freely round its axis, which is fixed in a vertical position ; a heavy particle is placed at the top of the tube and runs down through it; determine the whole angular velocity communicated to the screw.