Let f(x)be a function on (0, o) satisfying the following: f(x) > 0 on the interval (0, o0) f'(x) > 0 on the interval (2, 7) f'(x) < 0 on the intervals (0, 2) and (7, 0) f"(x) > 0 on the intervals (0, 2) and (7, 0) f"(x) < 0 on the interval (2, 7) f(x) is differentiable at æ = 7 Mark all the correct statements. Note: There are exactly four correct statement. Each wrong statement will delete out a correct one. Türkçesi: f(x), (0, 0) aralığında tanımlı aşağıdakileri sağlayan bir fonksiyon olsun. (0, 0) üzerinde f(æ) > 0, (2, 7) üzerinde f'(x) > 0, (0, 2) ve (7, 0) üzerinde f'(x) < 0, (0, 2) ve (7, 00) üzerinde f"(x) > 0, (2,7) üzerinde f"(æ) < 0, f(x), x = 7 de diferansiyellenebilirdir. Doğru olan bütün şıkları işaretleyin Not: Tam olarak dört tane doğru şık vardır. İşaretlenen her bir yanlış şık işaretlenen doğru bir şıkkı silecektir(götürecektir). Lütfen bir ya da daha fazlasını seçin: f is increasing on (0,2) and (7,00) ((0,2) ve (7,00) aralıklarında f artandır) fis concave down on (0,2) ((0,2) aralığında f aşağı konkavdır) O fis concave up on (2,7) ( (2,7) aralığında f yukarı konkav) (2,f(2) ) is an inflection point of f ((2,f(2) ), f in büküm noktasıdır.) O (7,f(7) ) is an inflection point of f ( (7,f(7) ), f in büküm noktasıdır) fis increasing on (2,7) ( (2,7) aralığında fartandır) f is concave up on (0,2) ((0,2) aralığında f yukarı konkav) f is concave down on (2,7)( (2,7) aralığında f aşağı konkavdır)

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Q: Let f(x) = 6 + V4x – 5. Find f-'(x). f- (x) = for x > 6

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A: Given

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Q: Find the absolute maximum/minimum if any of f (x)=x' +3x² +1 on the interval [-3, 2].

A:

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A: If f'(x) &gt;0 then f is increasing.

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Q: Find f such that f'(x) = 9 √x f(9) = 59.

A: f′(x)=9x,f(9)=59

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Q: Let f and g be the functions in the table below. g(x) 2 3 1 X 1 2 3 f(x) 3 1 2 (a) If F(x) =…

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Q: Find f such that f'(x) = 8x-9, f(7) = 0. f(x) = 0

A: f'(x)=8x-9, f(7)=0

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A:

Q: If f (x) = 2x3 + 8 x² + 3 , at what points are f '(x) zero or does not exist ? (A 1, 0 B 8 0, 8 0, -…

A: The given function is:fx=2x3+8x2+3

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Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞) . Find ALL interval(s) for which f""…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.