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Gravity
Terms in this set (10)
arc length formula
∫ √ [ 1 + (f'(x))²]
surface area formula
2π ∫ r(x) √ [ 1 + (f'(x))²]
What is r(x) for surface area if the function is rotated about the x-axis?
The function itself
What is r(x) for surface area if the function is rotated about the y-axis?
x
Formula for shell method
2π ∫p(x)h(x)
Formula for disc method
π ∫ (R² - r²)
Euler's Method
yₙ₊₁ = yₙ + (dy/dx)ₙ(Δx)
Area of bounded polar equation
(1/2) ∫ r²
cos²θ=
(1+cos(2θ))/2
sin²θ=
(1-cos(2θ))/2
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