What is the opposite of exponential decay?
Aurora AlvaradoI am not sure what you meant by "opposite", but one way to think about it would it be exponential growth.
Exponential Growth can be in two directions; up and away from the asymptote (often the x-axis), or down and away from the asymptote.
Exponential Decay is towards the asymptote, whether it's from above or below the x-axis .
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Scarlett AllisonThe opposite of exponential decay is exponential growth.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- What is the volume of the solid produced by revolving #f(x)=1/x, x in [1,4] #around the x-axis?
- How do you find the volume of the solid generated by revolving the region bounded by the graphs #y=e^(x/2), y=0, x=0, x=4#, about the x axis?
- How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=1#, #y=x^2#, and #x=0# rotated about the line #y=2#?
- How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by #y^2=4x#, x=y revolved about the y-axis?
- How do you find the arc length of the curve #y=sqrt(x-3)# over the interval [3,10]?
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