Examination Papers |
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... curve , and the polar of O. Hence discover a method of drawing the tangents to a conic from an external point by means of a ruler only . 8. Find the general equation of a conic through four fixed points . Find the locus of the centres ...
... curve , and the polar of O. Hence discover a method of drawing the tangents to a conic from an external point by means of a ruler only . 8. Find the general equation of a conic through four fixed points . Find the locus of the centres ...
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... curves ; ( 2x2 - 3x + 5 ) - ; y = 3 x ― x2 ; y = - n an - 4 x xn - 1 n 7 x2 . Find the point in the second at which y is increasing at the rate at which y is increasing in the first at the point ( 2 , 2 ) . ANNUAL EXAMINATIONS : 1901 ...
... curves ; ( 2x2 - 3x + 5 ) - ; y = 3 x ― x2 ; y = - n an - 4 x xn - 1 n 7 x2 . Find the point in the second at which y is increasing at the rate at which y is increasing in the first at the point ( 2 , 2 ) . ANNUAL EXAMINATIONS : 1901 ...
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... curve x2 + y3 - axy = 0 , the axes being inclined at an angle w . Shew how to obtain the chord of curvature in a given direction of any curve . ANNUAL EXAMINATIONS : 1901 . SECOND YEAR . DIFFERENTIAL CALCULUS University of Toronto .
... curve x2 + y3 - axy = 0 , the axes being inclined at an angle w . Shew how to obtain the chord of curvature in a given direction of any curve . ANNUAL EXAMINATIONS : 1901 . SECOND YEAR . DIFFERENTIAL CALCULUS University of Toronto .
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... curve in the form du du x ' + y ' dx dy + un - 1 + 2 un − 2 + ( 2 ) Shew that , in any curve , .... + nuo = 0 . 1 p2 = u2 + du \ 2 1 de where u = • Express in polar co - ordinates the curve r2 = ( n2 + 1 ) p2 . 7. Shew how to find the ...
... curve in the form du du x ' + y ' dx dy + un - 1 + 2 un − 2 + ( 2 ) Shew that , in any curve , .... + nuo = 0 . 1 p2 = u2 + du \ 2 1 de where u = • Express in polar co - ordinates the curve r2 = ( n2 + 1 ) p2 . 7. Shew how to find the ...
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... curve r cos 20 = a at the origin , and also find its asymptotes . 10. The curve r = ƒ ( 8 ) rolls upon a straight line ; shew how to obtain in terms of x and y the equation to the roulette traced out by its pole . Apply your result to ...
... curve r cos 20 = a at the origin , and also find its asymptotes . 10. The curve r = ƒ ( 8 ) rolls upon a straight line ; shew how to obtain in terms of x and y the equation to the roulette traced out by its pole . Apply your result to ...