x-8 Find the interval of the continuity of the function f(x) = x^e*+ V*- In(x-2)

Q: Let f(x) be a function with domain (-00, 3) U (3,00). Use the graph of f'(x) below to determine the…

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Q: value of x does the function f(x)=x^3-3x^3 attain the absolute maximum in the interval

A: Given, f(x)=x3-3x3=-2x3 Interval = (-1,4)

Q: If Im(z)#0 for all values of z and if f(z)=z^2+z+1 is a real valued function, then find its range O…

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Q: On what interval do the graph of the function f(x) = 2(x^2 - 9) / (x^2 - 4) increasing and concave…

A: Given that: f(x)=2(x2-9)x2-4

Q: f(x) = 2x³ - 3x² - 36x +14 use f'(x), find decreasing interval

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Q: f(x)=-(x-1)2 use f'(x) to find decreasing interval

A: f(x)=-(x-1)2 = - (x2 - 2x + 1) = 2x - x2 - 1

Q: Let f(x) be a function with domain (-00, 00) and f'(x) = the intervals where f is decreasing. OA B…

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Q: Explain the differences between continuity and uniform continuity when f(x)=3x+7 shown on graph…

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Q: = a are given. Evaluate f(z) dr. on (b-a) +2 (ab - a) - 2 a+b) +2 a-b) - 2 II la + b) - 2

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Q: Explain the difference between continuity and uniform continuity with the help of graph when…

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Q: Continuous for all real numbers f'(x) 0 on (-6, 1) and (3, ∞) f"(x) > 0 on (-∞, –6) and (3, ∞ f"(x)…

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Q: Sketch the graph of a single function that has all of the properties listed.

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Q: Describe the sequence of transformations from the related common function f(x)=x² to g. g(x) = 2(x–…

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Q: Assume that for a function f(x), f'(x) « O on the interval (-0, -5) and f'(x) » O on the interval…

A: From the given definition:  f ' (x) < 0 when x < -5 so graph must be decreasing in this…

Q: -2 -3 -5 9- -7- 8- The graph above is the function 'f(x)`. Let 's(x)=x^3*f(x)` s'(4)` = Preview

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Q: Evaluate. ST/A tan³(x)-sec²(x) dx = ? 1 11 20 0 3 20

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Q: 4) Find fog, gof , f+g and fg where f (x) = x^2 + 1 and g(x) = x + 2, are functions from R to R

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Q: 2 Identify f(x), g(x), and h(x) such that F(x) = f(g(h(x))) for the function F(x) = Vin(x+ In(x+ +…

A: We need to find f(x), g(x) and h(x) from F(x).

Q: h(x) = 4/((x-1)^2) Show from the definition that the function h(x) = 4/((x-1)^2) is increasing in…

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Q: Determine the continuity of f such that f(x)=x^2.

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Q: Зх-4 (5) Let f(x) x E [-2,2], find the absolute maximum and minimum x²+1 values of f(x).

A: We will find out the required value.

Q: f(x)=: x-X Show that f is continuous on R- {0} (x # 0)

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Q: for the following func tion 2= 22メ - log。メ + 4"+ e?7. dx calculate differential dz when X is…

A: GivenZ=22r-log5x+4r+e27------(1)we have to calculate the differentiate dz when x is increased from…

Q: Test continuity and differentiability at x=3. f(x)={x^2, xor equal to 3

A: we have to test continuity and differentiability at X=3