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( a ) Develop the equation of + y af af Əx + zar ду Əz for the tangent to 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 ...
( a ) Develop the equation of + y af af Əx + zar ду Əz for the tangent to 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 ...
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Show that if a 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.
Show that if a 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.
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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 .
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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In the 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 ...
In the 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 ...
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Find the area of the loop in 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 ...
Find the area of the loop in 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 ...
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