Examples And Solutions in the Differential Calculus
Examples And Solutions in the Differential Calculus
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In our eReader you can find the full English version of the book. Read Examples And Solutions in the Differential Calculus Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Examples And Solutions in the Differential Calculus
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Digitized by VjOOQ iC ASYMPTOTES TO CUBVES. 91 (19.) Investigate an expression for the subtangent : and ^ in the parabola of the n^ order, whose equation is yz^aa^, find the subtangent and subnormal Subtangent = — a?, subnormal = ria^ay^'*'^ (20.) The equation to the ellipse being y^^-^ (2«^— a'^) ; £nd the subtangent and subnormal.
Subtangent == > subnormal = -5 (a — - a?).
(21.) Prove that -— equals the tangent of the angle at dx which a curve, referred to rectangular co-ordinates, is incline...d to the axis. • (22.) y^'=:c^^QD^ being the equB.tion to the circle, the origin at the centre, show that the curve cuts the axis of x at an angle of 90^ (23.) y2=2aa?--ar2being the equation to the circle, the origin in the circumference, find the subtangent and normal.
Subtangent = > normal=a.
(24.) If an ordinate NF in an ellipse be produced until it meets the tangent, drawn from the extremity of the latus rectum, in T \ prove that the distance of P from the focus is equal to the distance of T from the axis of abscissae.
What to read after Examples And Solutions in the Differential Calculus?
You can find similar books in the "Read Also" column, or choose other free books by James Haddon to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Digitized by VjOOQ iC ASYMPTOTES TO CUBVES. 91 (19.) Investigate an expression for the subtangent : and ^ in the parabola of the n^ order, whose equation is yz^aa^, find the subtangent and subnormal Subtangent = — a?, subnormal = ria^ay^'*'^ (20.) The equation to the ellipse being y^^-^ (2«^— a'^) ; £nd the subtangent and subnormal.
Subtangent == > subnormal = -5 (a — - a?).
(21.) Prove that -— equals the tangent of the angle at dx which a curve, referred to rectangular co-ordinates, is incline...d to the axis. • (22.) y^'=:c^^QD^ being the equB.tion to the circle, the origin at the centre, show that the curve cuts the axis of x at an angle of 90^ (23.) y2=2aa?--ar2being the equation to the circle, the origin in the circumference, find the subtangent and normal.
Subtangent = > normal=a.
(24.) If an ordinate NF in an ellipse be produced until it meets the tangent, drawn from the extremity of the latus rectum, in T \ prove that the distance of P from the focus is equal to the distance of T from the axis of abscissae.
What to read after Examples And Solutions in the Differential Calculus?
You can find similar books in the "Read Also" column, or choose other free books by James Haddon to read onlineMoreLess
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