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Din interiorul cărții
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... curves . 4. Explain the meaning of p and q in a geometri- cal interpretation of f ( x , y , p , q ) = 0 ; and show geo- metrically that the primitive must have two arbitrary constants . Illustrate with xyq + xp2 −yp = 0 . 1 5. Find a ...
... curves . 4. Explain the meaning of p and q in a geometri- cal interpretation of f ( x , y , p , q ) = 0 ; and show geo- metrically that the primitive must have two arbitrary constants . Illustrate with xyq + xp2 −yp = 0 . 1 5. Find a ...
Pagina
... curve , obtaining results for all values of m . ( 6 ) S with r > I . COS πZ ( ≈ − 1 ) 5 dz over a circle about the origin 5. If f ( z ) is holomorphic over the whole plane , it is constant . eimzdz 6. Integrate Sz + a 2 a2 over the ...
... curve , obtaining results for all values of m . ( 6 ) S with r > I . COS πZ ( ≈ − 1 ) 5 dz over a circle about the origin 5. If f ( z ) is holomorphic over the whole plane , it is constant . eimzdz 6. Integrate Sz + a 2 a2 over the ...
Pagina
... curve . 8. Prove ( 1 ) V. ( Vßy . Vya + Vya . Vaß + Vaß . Vßy ) : + B + y ) Saßy . = - - ( a ( 2 ) Vaßy + Vẞya + Vyaẞ = aSBy + BSya + YS « ß . CONICS II . FINAL HONOURS . 1. Depriving the general 7. Prove that the tangent cone and the ...
... curve . 8. Prove ( 1 ) V. ( Vßy . Vya + Vya . Vaß + Vaß . Vßy ) : + B + y ) Saßy . = - - ( a ( 2 ) Vaßy + Vẞya + Vyaẞ = aSBy + BSya + YS « ß . CONICS II . FINAL HONOURS . 1. Depriving the general 7. Prove that the tangent cone and the ...
Pagina
... curve for a saturated vapour . ( b ) Under what circumstances will the adiabatic expansion of a saturated vapour produce condensation ? Explain fully . 5. Write two expressions giving dQ in terms of T and v , T and P , or P and v ...
... curve for a saturated vapour . ( b ) Under what circumstances will the adiabatic expansion of a saturated vapour produce condensation ? Explain fully . 5. Write two expressions giving dQ in terms of T and v , T and P , or P and v ...
Pagina
... curve y = f ( x ) ; and deduce the normal equation . Illustrate by finding the tangent and normal to the curve y = x3 - 3x2 + 2x at the origin . 6. Explain the radius of curvature , and prove 3/2 p = ( 1 + ƒ'2 ) " \ ƒ " . 7. Obtain the ...
... curve y = f ( x ) ; and deduce the normal equation . Illustrate by finding the tangent and normal to the curve y = x3 - 3x2 + 2x at the origin . 6. Explain the radius of curvature , and prove 3/2 p = ( 1 + ƒ'2 ) " \ ƒ " . 7. Obtain the ...
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