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... curve f ( x , y ) = 0 . that the curves x2 + y2 = 2a2 log x + c cut the ellipses + ( b ) Show - x2 12 a2 + λ a2 = 0 4. ( a ) In polars prove ( i ) tan p = rf ' . ( ii ) p = r2 \\ / r2 + ƒ'2 . ( b ) Find the p , r equation of the ...
... curve f ( x , y ) = 0 . that the curves x2 + y2 = 2a2 log x + c cut the ellipses + ( b ) Show - x2 12 a2 + λ a2 = 0 4. ( a ) In polars prove ( i ) tan p = rf ' . ( ii ) p = r2 \\ / r2 + ƒ'2 . ( b ) Find the p , r equation of the ...
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... curve of n dimensions has n nonparallel asymptotes , these intersect the curve in n points which lie on a curve of n - 2 dimensions . 6. Prove that at a point of contrary flexure u + du / d02 changes sign . 7. Find the conic which has ...
... curve of n dimensions has n nonparallel asymptotes , these intersect the curve in n points which lie on a curve of n - 2 dimensions . 6. Prove that at a point of contrary flexure u + du / d02 changes sign . 7. Find the conic which has ...
Pagina
... x = Ə2u / əxəy , & c . 2 2 = 8. Define the osculating plane of a curve of double curvature at a given point , and find its equation . : TRIGONOMETRY II . FINAL HONOURS . I. In the Queen's University Examinations : April , 1909 .
... x = Ə2u / əxəy , & c . 2 2 = 8. Define the osculating plane of a curve of double curvature at a given point , and find its equation . : TRIGONOMETRY II . FINAL HONOURS . I. In the Queen's University Examinations : April , 1909 .
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... curve x + y = a show that the part of the tangent lying between the axes is constant . 4. ( a ) Deduce a method of finding the polar reciprocal to a curve in cartesian coordinates , and ( b ) ply it to find the polar reciprocal of y2 ...
... curve x + y = a show that the part of the tangent lying between the axes is constant . 4. ( a ) Deduce a method of finding the polar reciprocal to a curve in cartesian coordinates , and ( b ) ply it to find the polar reciprocal of y2 ...
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... curve a3y2 = ( b + x ) x4 . 4. Find the volume described by one revolution of ( ༧ + x2 ) 2 − a2 ( x2 -y2 ) = o about the x - axis between lts . o and a . 5. The cardioid ra ( 1+ cos 0 ) revolves about the prime vector . Find the ...
... curve a3y2 = ( b + x ) x4 . 4. Find the volume described by one revolution of ( ༧ + x2 ) 2 − a2 ( x2 -y2 ) = o about the x - axis between lts . o and a . 5. The cardioid ra ( 1+ cos 0 ) revolves about the prime vector . Find the ...
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