MTH253- Calculus 3 Midterm
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### **Linear Approximation of a Function at a Point**
y= f(a)+ f'(a)(x−a)
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differential form
dy = f’(x) dx
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Newton’s method
xₙ₊₁ = xₙ - (f(xₙ) / f’(xₙ))
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A **separable differential equation** is any equation that can be written in the form
y'=f(x)g(y) or y’ = f(x)/ g(y)
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Newton’s law of cooling (1)
dT/dt = k(T-Ts)
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Newton’s law of cooling (2)
T(t) = (To - Ts)e^kt + Ts
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∫csc²(x) dx =
-cot(x) +C
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infinite sequence form:
a1, a2, a3…., an
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sequence notation
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