Express the following limit as a definite integral: where a = , b = and f(x) = lim 84x n n? = √² f(x²) f(x) dx

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A: Topic:- application of calculus

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A: As per guidelines we can answer only three subparts at a time. So if you need more answer kindly…

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A: Given Properties of two vector i and j: i.i=1, (i is parallel to i )i.j=0 ,(i is perpendicular to…

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A: Here, the given function is: f(x)=4x3+2cos x

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A: Please refer to the image below

Q: 5. f(x) = x², 6. f(x) = 1- - g(x) = 4x + 5 3 x + 3 7. f(x) = x + ₁1/2x - 3, g(x) = 1 x-1 g(x) = 3

A: As per guidelines we can answer only one question at a time so if you need more answer kindly repost…

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A: Option (c) is your correct answer  For detail...go through the solution

Q: Question 1 1) Suppose that the function f is defined piece-wise as follows: f(x) = 4x² 3 whenever a…

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Q: 6. a. Use an x-interval of 0.0001 to determine the instantaneous range of change of the function…

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Q: For the line 4x + 3y = 24, complete the following ordered pair so that it is a point on the line…

A: given line4x+3y=24

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Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. [A3] [C2] f(x)…

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Q: Question 3 Find: a. b. C f(10x¹-12x³ +9x² -8x+1)dx 8x4 +9x³-7x X dx [(2x² - 4x +5X3x + 2)dx

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Q: 4 Write as a single logarithm. log x² + log xª O a) log x6 b) log x8 c) log x²√√x d) ¹ log x8

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A: Given query is to find the height of the building.

Q: Find the limit L. Then use the - definition to prove that the limit is L. lim √√√x x →0 L = 0 Use…

A: ε-δ definition of Limit: A limit limx→af(x)=L is defined as follows - If ∀ ε>0 there exits δ>0…

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A: Topic:- differential equation

Q: Consider the following. 6 = f(x) = -x² +9 Find the x-values at which f is not continuous. Which of…

A: Given: As nothing is mentioned, we will be answering by graphical method. Graph:

Q: 1. Eliminate the arbitrary constants of the given equation y = C₁ cos 3x + C₂ sin 3x + C, sin x + C,…

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Q: (a) If A=[ay] is a 3x3 matrix; such that ay = i (4-²), find the values of diagonal elements and the…

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Q: If two vectors have the same magnitude, then they are equal.

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Q: 21 21 18 If ²¹ f(x) dx = 3.4, and 2¹ f(x) dx = 10.5, then 5,1³ f(x) dx 18

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Q: 3. Discuss in your own words what is visually/graphically happening at x = as detailed as possible…

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Q: Find the limit as x approaches -6 for the function f(x) = 5x + 12. lim (5x+12)= X→-6 (Simplify your…

A: Topic- limits

Q: simplified

A: Please refer to the image below

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A: A function f(x) is called even if f(-x)=f(x) and called odd if f(-x)=-f(x).

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Q: Find f ∘ g ∘ h. f(x) = √x − 3 g(x) = x2 h(x) = x3 + 1

A: Topic:- function

Q: solution. 1. The center of the circle is at (-3,7) and goes through the origin. 2. The center of the…

A: Topic = Circle As per guidelines, At a time only three sub-parts can be answered.

Q: Find the distance from the point (-7,-2,0) to the line ä(t) = (-2,-5, 3)t + (-8, 2, 4)

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Q: -6 -5 -4 -3 256 224 192 160 128 96 64 32 -32 -64+ -96- -128 -160- -192 -224 -256- -288 -320- -352…

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Q: Evaluate: -2 3 1 3 4 5 10 1 - 24 1 1 05

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Q: Let v = PQ, where P = (3,5) and Q = (9, 10). What is the head of the vector v' equivalent to v based…

A: Given vector is v=PQ→, where P=(3,5) and Q=(9,10).

Q: 7л Determine the exact value of cot 6 Oa) -2 b) √3 Oc) -√3 O d) 1 √3

A: Find the value of cot(7 pi)/6.