suppose the cdf of r.v. X is given by 1- e -2 x x > 0 F(x) = x < 0 Please find its pdf, and compute P(X<2).

Q: (2-9x³), find f'(x). Given f(x)= In (2-9x³), f'(x) =

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Q: Consider the function f(t) defined as f(t)= 2t^(2) + 8t + 9 for the range - < t ≤ π, and extended…

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Q: 3 In Oregon, of the soft drink bottles are recycled each year. A bottling company there produces 1.2…

A: Given, 35 of the soft drink bottle are recycles each year and x year later the number of bottles…

Q: 4. Given a function f(x) that is written as f(x) = h' (2) = 4, then f'(2) =? g(x) h(x), if g(2) = 2,…

A: 4. Given a function f(x) that is written as f(x) =g(x)·h(x) , if g(2) =2 , h(2)=-2 ,g'(2)=-3 and…

Q: a) x³ - x f (x) = 2x² + x − 1 - b) f(x) = ax + b cx - d

A: Here we have to evaluate for a) and b) the value of f'(x).

Q: Given that f is one-to-one and f(2)=1, f'(2)=3, f(3)=2, f'(3)=2, deduce, if possible, (f-1)'(2)

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Q: 1 If f(6) = 26 and f is one-to-one, what is f'(26)? r(26) = O

A: Given  f(6) = 26  Find f-1(26) , if f is one one function.

Q: A poster consists of a printed area and margins (See image). The area of the entire poster is A = 96…

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Q: Suppose you khow the three facts. f' (2) = 9 f'(3) = 0, and f(4) = -2. What can you say about the…

A: Note that if f has any extreme value then at that f' will be zero

Q: Suppose that f(x) is a function with f(180) = 35 and f'(180) = 10. Estimate f(180.5). f(180.5)

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Q: Suppose that f(x) is a function with f(130) = 39 and f'(130) = 2. Estimate f(132).

A: f(x) is a function with f(130)=39 and f′(130)=2

Q: If f has a derivative at x = 2, then f is continuous at x = = 2. True False

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Q: Let f(x) = In[x³(x + 6) 7 (x² + 5)³]. Find f'(x). 1 3 x²(x+6) ² (x² -5)³ f'(x) =

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Q: If f(x) = (3x – 2)(2x + 3), then a. f(– 2) b. f'( – 2) = c. f''(– 2) d. The values of x for which…

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Q: Use the Rules of Logs to expand, then find f'(x) given f(x) = ln V. ex X (x + 3)5

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