# Calculus 2

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1. Volume by Slicing
2. Volume by washers
3. Volume for cylindrical shells
4. Arc length
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
11. Polar coordinates
x=(r)cos(u)
y=(r)sin(u)

r^2 =x^2 +y^2
12. Arc length polar coordinates
13. Area in polar coordinates
14. Area between two (curves) Polar coordinates

## Card Set Information

 Author: Icescorcher ID: 319743 Filename: Calculus 2 Updated: 2016-05-03 14:26:19 Tags: math Folders: Math,Calculus Description: Formulas and tests for Calculus 2 Show Answers:

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