-{1+ (+³² x 0≤x≤2 otherwise f(x) = Derive F(x). Calculate P(1 ≤ X ≤ 1.5) and P(X > 1).

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A: Given: fx=3x2+2 in interval 1&lt;x&lt;5

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Q: 5. Find the absolute extrema of f(x) = x’ + 3x – 9x + 4 on the closed interval [-4, 0].

A: The given function fx=x3+3x2-9x+4

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A: Given: f(x)  =  x3 − 3x2     To determine: The interval of increasing.

Q: 11 – |x| X 2 a. f(0.5) = b. f(-5.5) = c. f(-3.5) = d. f(6) =

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Q: Find the absolute extrema of the function f(x) = x3 − 3x2 − 24x + 5 on [−3, 6], if they exist as…

A: We have to solve given problem:

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Q: If 12 ≤ f(x) ≤ 18, then O≤ ≤[ f(x)dx 2

A: Given: 12≤f(x)≤18 We are required to fill the blanks: ≤∫29f(x)dx≤

Q: for x 0

A: fx=x,x&lt;0x2,x≥0 ;x∈-1,1 graph of given function on given interval can be drawn as below

Q: 1) Find the intervals of increase and decrease for f(x) = t³ + 3t² + 1. (Use interval notation when…

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Q: 3) Find the value of k that makes function continuous at x = 4 Зх + 8 x > 4 f(x) = 4x – k x < 4 — k

A: A function is a relation from a set of inputs to a set of possible outputs where each input is…

Q: If f(3) = 5 and f'(x) ≥ 3 for 3 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥

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