An Elementary Treatise On the Differential And Integral Calculus, With Examples And Applications
An Elementary Treatise On the Differential And Integral Calculus, With Examples And Applications
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In our eReader you can find the full English version of the book. Read An Elementary Treatise On the Differential And Integral Calculus, With Examples And Applications 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 An Elementary Treatise On the Differential And Integral Calculus, With Examples And Applications
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To quickly assess the difficulty of the text, read a short excerpt:
^ + 2^=1, h'x\y-y^) = ay(x-x^).
3. The equilateral hyperbola 2xy^a^.
Ans. xy' + yx' = a\ y\y — y') = x'{x — x').
4. Show that in the preceding curve the area of the triangle formed by a tangent and the co-ordinate axes is constant and equal to a-.
x^ 5. In the cissoid y* = , find the equations of the tan- 2a — X gent and normal at the points whose abscissa is a.
Ans. At (a,a), y = 2x — a^ 2y-^x=3a.
At(a, — a), y + 2x = a^ 2y = a; — 3a.
6. In the witch y = — — -, find the equations of the tangen...t 4 a. + .ir and normal at the point whose abscissa is 2 a.
Ajis. x-\-2y = ia^ y = 2x — Sa.
7. In the curve ( - ) H- ( r ) = 1 j find the equation of the tangent at the point (a;', y') . Ans. -^ 4- -^^^ = 1 .
a- 35iyi 8. In the ellipse x^ + 2y^ '-2xy — x = 0^ find the equations of ' the tangent and normal at the points whose abscissa is 1.
-4ns. At (1,0), 2y = X'-'\, y-|-2a;=2.
At(l,l), 2y = x+l, y-\-2x = 3 Digitized by GoogI( 112 DIFFERENTIAL CALCULUS.
9. In the parabola x^ -{-y^ = a% find the equation of the tan- gent at the point (.t-', y').
What to read after An Elementary Treatise On the Differential And Integral Calculus, With Examples And Applications?
You can find similar books in the "Read Also" column, or choose other free books by George a George Abbott Osborne to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
^ + 2^=1, h'x\y-y^) = ay(x-x^).
3. The equilateral hyperbola 2xy^a^.
Ans. xy' + yx' = a\ y\y — y') = x'{x — x').
4. Show that in the preceding curve the area of the triangle formed by a tangent and the co-ordinate axes is constant and equal to a-.
x^ 5. In the cissoid y* = , find the equations of the tan- 2a — X gent and normal at the points whose abscissa is a.
Ans. At (a,a), y = 2x — a^ 2y-^x=3a.
At(a, — a), y + 2x = a^ 2y = a; — 3a.
6. In the witch y = — — -, find the equations of the tangen...t 4 a. + .ir and normal at the point whose abscissa is 2 a.
Ajis. x-\-2y = ia^ y = 2x — Sa.
7. In the curve ( - ) H- ( r ) = 1 j find the equation of the tangent at the point (a;', y') . Ans. -^ 4- -^^^ = 1 .
a- 35iyi 8. In the ellipse x^ + 2y^ '-2xy — x = 0^ find the equations of ' the tangent and normal at the points whose abscissa is 1.
-4ns. At (1,0), 2y = X'-'\, y-|-2a;=2.
At(l,l), 2y = x+l, y-\-2x = 3 Digitized by GoogI( 112 DIFFERENTIAL CALCULUS.
9. In the parabola x^ -{-y^ = a% find the equation of the tan- gent at the point (.t-', y').
What to read after An Elementary Treatise On the Differential And Integral Calculus, With Examples And Applications?
You can find similar books in the "Read Also" column, or choose other free books by George a George Abbott Osborne to read onlineMoreLess
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