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Calculus 2

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  1. Volume by Slicing
    Image Upload 1
  2. Volume by washers
    Image Upload 2
  3. Volume for cylindrical shells
    Image Upload 3
  4. Arc length
    Image Upload 4
  5. Work=?

    k=?
    • Work=Integral(b->a) Force(x)
    • k=F(x)/(x)
  6. Trig identities

    sin^2(x)
    cos^2(x)
    • sin^2(x)=1/2(1-cos2(x))
    • cos^2(x)=1/2(1+cos2(x))

    • sin^2(x)=1-cos^2(x)
    • cos^2(x)=1-sin^2(x)
  7. Trapezoidal approximations
    1/2(Ln+Rn)
  8. Exponential Growth/decay

    Half life formula
    y=y(initial)*e^(kt)

    k=ln(2)/(halflife)
  9. Eulers method

    Taylor polynomials
    • x=0, y=2, dy/dx=2(.1)
    • x=.1,y=2.2 dy/dx=(2.2-.1)(.1)
    • x=.2,y=2.41  dy/dx=2.41-.2(.1)

    f(x)=f(0) +f'(0) +(f''(0)/2!)x^2
  10. Arc length parametric
    Image Upload 5
  11. Polar coordinates
    x=(r)cos(u)
    y=(r)sin(u)

    r^2 =x^2 +y^2
  12. Arc length polar coordinates
    Image Upload 6
  13. Area in polar coordinates
    Image Upload 7
  14. Area between two (curves) Polar coordinates
    Image Upload 8
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Author
Icescorcher
ID
319743
Card Set
Calculus 2
Description
Formulas and tests for Calculus 2
Updated

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