1 Determine the average value of f(x) over the interval from x a to x b, where f(x) 1 and b = 3 a = The average value is (Type an exact answer.)

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A: To integrate f(x)=x3+5x on the interval [1,5] .

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A: Topic = Differential equation

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A: Let's find.

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Q: The absolute minimum value of the function f(x) = –3 sinx on the interval [2, 8] is

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A: To find the x coordinate of the inflection point of the function whose derivative is given.

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Q: 8. Use im te gv al test to de trvmior Comverfne or Divrigen of the foll owig Spoiver

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A: The given function,        fx=4x5-4x4+3x3+6x2+6

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A: The given equation is  f(x)=x3-cos(x).

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Q: COLUMN A COLUMN B S(:-0) dx =-4 In\x| + C 4 In/x| + C 1. A. 4x B. 4* 2. dx 6Vx +C С. 4 3. S(3Vx +)…

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A: I am attaching image so that you understand each and every step.

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A: The given function is f(x)=ln(11-x).

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Q: -1)" =£ Given: In(1 + x) if x < 1. n + 1 n=0 (-1)" (n +2 2n+1(n + 1) 4. Compute the exact value of…

A: ln(1+x)=∑n=0∞(-1)nn+1xn+1     if x&lt;111-x=∑n=0∞xn  if x&lt;1

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A: This question is based on similar parallelogram properties and rationalisation.

Q: 1. Let f be an odd function and g be an even function with f(2) da = 2 3 f(x) dæ = 7 3 9(x) dx = -3…

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