Axercise 3. Suppose X ~ U(0,1) and Y = -}log(X), for a constant A > 0. Show that Y has the exponential distribution. |

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A: As No question is Mentioned, So I will answer only the first One. We are given the function S (Sales…

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Q: 1 Use linearization to estimate (0.98)³*

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A: To solve the following

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A: Given  dθdt=-5.33×10-6θ+33-3.69×10-6θ4+2.33×10-5θ3+1.35×10-3θ2+5.42×10-2θ+5.588 ……………(1) Initial…

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Q: determine

A: We will find the derivative using product rule and chain rule.

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Q: 1. Determine f'(x) for the following functions: f(x) = (x2 – 3x)5 b. f(x) = V1-x²

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A: The equation of the height of the ball is provided as h(t)=-4.9t2+19.6. We need to determine the…

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Q: C) = ("; ')-(,",) n Q1. Show that : r

A: R.H.S;=n+1r-nr-1=(n+1)!r! (n+1-r)!-n!(r-1)! (n-r+1)!=1 (n+1-r)!(n+1) n!r(r-1)!-n!(r-1)!=n!…

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A: Step 1: Step 2: Step 3: Step 4:

Q: On what open interval is  f '  an increasing function?   For which value of x is  f '(x)  minimum?

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Q: Solve for average value of the function within interval [0,20]

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Q: 7. How does the average rate of change for a square root function behave, for intervals of fixed…

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Q: Estimate the average gasoline consumption over the time interval [0,5]. Estimate the average…

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