Find the indefinite integral. 4 +2x-1 da In++c 0+1 O In\# + 1| – 3 ln|| – !+C none of these 0!+In\a* + æ³ |+C O 3 In|z + 1| – + Inle+C

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A: We have to find the probability.

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A: Given problem:-

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Q: 2. Let f be continuous and differentiable everywhere. Suppose that f has zeros at 1 and 3. Show that…

A: answer is in next step

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Q: Suppose f: I R is increasing, for some interval I. Show that lim f(x) < f(xo) < lim f(x).

A: This question can be solved using the definition of increasing function.

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A: Consider the graph of f'(x)

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A: We have to evaluate the integral.

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A: Given information: ------------------------------------------------------------------------------…

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A: The used series here is: 11-x=1+x+x2+x3+...             ...(1), -1&lt;x&lt;1

Q: solution

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Q: Evaluate and write your answer in a + bi form. [3(cos 68° + i sin 68°)]° - Round to two decimal…

A: De moivre's theorem states that cosθ+isinθn=cosnθ+isinnθ

Q: (c) Identify the critical numbers of f and the possible points of inflection of the graph of f.

A: To find the critical number and point of inflection of the graph of f.

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Q: Under a change of variables æ = u², y= v³ , the infinitesimal element of area dædy becomes 3u?u°dudv…

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Q: A function is defined by if n is even S1, f(x) = anx", where a, if n is odd 2, n=0 a) Determine the…

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A: Given query is to find the area bounded by the graph.

Q: 14.w.3 Find Ihe arcan region for he fllowwiy Regian honded.by.y= X- y=D and S= 2

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: Determine whether the geometric series converges or diverges. If it converges, find its sum. E7*8*+1…

A: Given: Here,         an=7n8-n+1    =7n8n-1 So,         limn→∞an+1an=limn→∞7n+18n7n8n-1…

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Q: Find the area of the shaded region f(x) =Dx-8x +18x“, gx)= -20x +112 3. xg-.X%3D(x)) The area is…

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Q: Mw.3 Find Ih arcon regian for the ollowwg Regian bomdel.by.y=x- Y= and S=2

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