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Din interiorul cărții
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... plane z = 6x , y indet . , and the plane z = 0 . 7. Prove that the moment of inertia of the triangle ABC about a normal through its controid is 72 μbc ( a2 + b2 + c2 ) sin A. 8. Establish the fundamental relation between the B function ...
... plane z = 6x , y indet . , and the plane z = 0 . 7. Prove that the moment of inertia of the triangle ABC about a normal through its controid is 72 μbc ( a2 + b2 + c2 ) sin A. 8. Establish the fundamental relation between the B function ...
Pagina
... plane , it is constant . eimzdz 6. Integrate Sz + a 2 a2 over the upper half of a circle of r > a about the origin with its bounding di- +00 COS mx dx . ameter ; and deduce the value of x2 + a2 -∞ 7. If a function is meromorphic in any ...
... plane , it is constant . eimzdz 6. Integrate Sz + a 2 a2 over the upper half of a circle of r > a about the origin with its bounding di- +00 COS mx dx . ameter ; and deduce the value of x2 + a2 -∞ 7. If a function is meromorphic in any ...
Pagina
... plane is zero . 9. ( a ) Develope Laurent's expansion for ƒ ( z ) about the origin , and indicate a proof of its convergence . ( b ) Explain the form of the expansion of ( a ) when the origin is ( i ) a zero , ( ii ) a pole , ( iii ) an ...
... plane is zero . 9. ( a ) Develope Laurent's expansion for ƒ ( z ) about the origin , and indicate a proof of its convergence . ( b ) Explain the form of the expansion of ( a ) when the origin is ( i ) a zero , ( ii ) a pole , ( iii ) an ...
Pagina
... plane , meeting it in A , and B is any point in the plane . On OB , P is taken so that PB - AB . ( 1 ) Show that the equation to the locus of P is ( p2 + a2 ) Spa = 2p2a2 , where p = QP . ( 2 ) Interpret fully when Spɑ = a constant , k2 ...
... plane , meeting it in A , and B is any point in the plane . On OB , P is taken so that PB - AB . ( 1 ) Show that the equation to the locus of P is ( p2 + a2 ) Spa = 2p2a2 , where p = QP . ( 2 ) Interpret fully when Spɑ = a constant , k2 ...
Pagina
... plane 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 ...
... plane 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 ...
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