Find a formula for a curve of the form y = e^{-(x-a)^2/b} for b > 0 with a local maximum at x = -5 and points of inflection at x = -8 and x = -2. y =
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This means that the derivative of the function y = -2(x-a)/(b) should be zero at x = -5. The derivative of y with respect to x is -2/b. Setting this equal to zero gives us no information about a or b, so this doesn't help us. Show more…
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