Elements of Analytical Geometry, And of the Differential And Integral Calculus
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In our eReader you can find the full English version of the book. Read Elements of Analytical Geometry, And of the Differential And Integral 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 Elements of Analytical Geometry, And of the Differential And Integral Calculus
What reading level is Elements of Analytical Geometry, And of the Differential And Integral Calculus book?
To quickly assess the difficulty of the text, read a short excerpt:
Here a;=20 and dx=^ ; .-. du—Z X 400 x-ni-=:120 cubic inches.
Differentiate the following functions : Ex. 13. .M=a2+2aa!3— K.
Ex.14. u—(a+xY.
Ex. 15. u=a^—x\ Ex. 16. u=ax^+ly^--, Ex. IT. M=4a!*— 3a^+5a;2— 6a!.
Ex. 18. u=Zo^+bx^+cx^.
Ex. 19. u=1x^+9x*—5x^+3x^—4x+c.
Ex. 20. u=x'^—ix+5Vx—6x^.
Ex. 21. u=5x^—3y^+4x^—l/*+c.
Ex.22. u—{ax+x^y.
Ans. du=2{ax+x^) {a-\-2x)dx.
Ex.23. 'u={ax+x'^y.
Ans. du=:S{ax+x'^y (a+2x)dx.
Ex.24. w=(aa;2+a;3)2.
Ans. du=2x^{a+x) {2a+3x)dx.
Ex. 25. u—{ax^+x^y.
Ans. du—3x^{a...+xy{2a+Sx)dx.
Ex.26. u—{l+xy.
124 DrPFEEENTlAL CALCULUS.
Ex. 27.
'• "4^ Ans. 2.^-^^—^ — .
,-s^ia.3j_3a^ k Ex. 28. u=dx^ +1x^-2!^+^.
Ex. 29. If the area of a square increase uniformly at the rate of -jiji-th of a square inch a second, at what rate is the side increasing when the area is 100 square inches ?
Let £B=the side, and M=the area; then u—f{x) =x% and therefore x=f'{u) — V'u, du du *""2-v/M~2a!' , _ du or u=x^', .•.auz=2xax: /.dx^-^.
Here du=-^, and a;=VM=-v/lOO=:10, and 2a;=20; .-.
What to read after Elements of Analytical Geometry, And of the Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by Docharty, Gerardus Beekman to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Here a;=20 and dx=^ ; .-. du—Z X 400 x-ni-=:120 cubic inches.
Differentiate the following functions : Ex. 13. .M=a2+2aa!3— K.
Ex.14. u—(a+xY.
Ex. 15. u=a^—x\ Ex. 16. u=ax^+ly^--, Ex. IT. M=4a!*— 3a^+5a;2— 6a!.
Ex. 18. u=Zo^+bx^+cx^.
Ex. 19. u=1x^+9x*—5x^+3x^—4x+c.
Ex. 20. u=x'^—ix+5Vx—6x^.
Ex. 21. u=5x^—3y^+4x^—l/*+c.
Ex.22. u—{ax+x^y.
Ans. du=2{ax+x^) {a-\-2x)dx.
Ex.23. 'u={ax+x'^y.
Ans. du=:S{ax+x'^y (a+2x)dx.
Ex.24. w=(aa;2+a;3)2.
Ans. du=2x^{a+x) {2a+3x)dx.
Ex. 25. u—{ax^+x^y.
Ans. du—3x^{a...+xy{2a+Sx)dx.
Ex.26. u—{l+xy.
124 DrPFEEENTlAL CALCULUS.
Ex. 27.
'• "4^ Ans. 2.^-^^—^ — .
,-s^ia.3j_3a^ k Ex. 28. u=dx^ +1x^-2!^+^.
Ex. 29. If the area of a square increase uniformly at the rate of -jiji-th of a square inch a second, at what rate is the side increasing when the area is 100 square inches ?
Let £B=the side, and M=the area; then u—f{x) =x% and therefore x=f'{u) — V'u, du du *""2-v/M~2a!' , _ du or u=x^', .•.auz=2xax: /.dx^-^.
Here du=-^, and a;=VM=-v/lOO=:10, and 2a;=20; .-.
What to read after Elements of Analytical Geometry, And of the Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by Docharty, Gerardus Beekman to read onlineMoreLess
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