Net Change: Motion on a Line
Key Questions
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If
#p(t)# is the position function, the the velocity function#v(t)# is#p'(t)# . -
If
#p(t)# is the position function of a particle, the distance traveled by the particle from#t=t_1# to#t=t_2# can be found by
#int_{t_1}^{t_2}|p'(t)|dt# .
Questions
Applications of Definite Integrals
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Solving Separable Differential Equations
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Slope Fields
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Exponential Growth and Decay Models
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Logistic Growth Models
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Net Change: Motion on a Line
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Determining the Surface Area of a Solid of Revolution
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Determining the Length of a Curve
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Determining the Volume of a Solid of Revolution
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Determining Work and Fluid Force
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The Average Value of a Function