Let the function x2 – x f(x) = x² – 5x b) Occupying the analysis of limits (occupying the intuitive notion, using the properties) to determine: b.1) Occupy limits to find out the behavior of the function near the removable or punctual discontinuities. b.2) Occupy lateral limits to find out the behavior of the function near the essential or jump discontinuities and determine the equation or equations of the vertical asymptotes, if any. b.3) Using the analysis of limits to find out the equation or equations of the horizontal asymptotes, if any

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Q: 3:- Find the maximum value of the function f(x, y) = x²y on the line x + y = 3.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Given function is : fx=2 ex2-2x+1 To find the absolute minimum value of the function in the domain…

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A: Absolute maximum at x=3 and absolute maximum value=7

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Q: Q1- Find any local maximum and local minimum values and sketch the curve: x² + 1 f(x) x %3D

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Q: show that the function has neither an absolute minimumnor an absolute maximum on its natural domain.…

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Q: f(x, y) = /4 – x² – y² + V1 – x? -

A: To find the domain of the function, f(x,y)=4-x2-y2+1-x2

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Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

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Q: Find the absolute maximum value of the function f(x) = -x² – 4x – 2 on the interval [-3, 3 ]. %3D

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Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

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A: We are authorized to solve only one question with 3 subparts, please repost remaining questions…

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A: Given , f(x)= x²-x in the interval [1,5]

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Q: f(x) = x2 + 4

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Q: show that the function has neither an absolute minimumnor an absolute maximum on its natural domain.…

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Q: f(x,y)=x2y(5-x^2-y^2) has an absolute maximum in the first quadrant. Find that maximum

A: The given function is Differentiate f with respect to x and y and equate to 0

Q: Find the absolute maximum and minimum values of f(x) = x – 2x on the closed interval [0, 2]. -

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Q: Estimate the absolute maximum value of the function y = x3x-x to two decimal places on the interval…

A: Please see the explanation below

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A: Please note that according to guidelines only first Q is solved. Please repost the other question.

Q: What is the absolute minimum value of the function f(x) = x - 3x2 on the interval [-2, 4] ?

A: Given function is f(x) = x3 - 3x2 ; -2 ≤ x ≤ 4 We have to find its minimum value.

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Q: Given the function f (x) value of f on the closed interval [-2,4]. -x° + 3x2 – 9, determine the…

A: We have to find absolute minimum valu

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Q: Let f(x) = 4x – 8a2 + 5x. Find the absolute maximum and the absolute minimum of f on [0, 2].

A: To find  The absolute maximum and absolute minimum of f(x) at [0, 2]

Q: · Explain why the function f(x) interval [-2, 2]. Find the absolute maximum and minimum values. =…

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Q: Sketch the graph of a differentiable function y f(x) through the point (-2,2) if f'(-2)=0 and…

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A: We will use second derivative test at check maxima and minima

Q: 2. Let f(x) = x* - 6x². Find (a) the intervals of increase or decrease, (b) the relative maximum and…

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Q: For what value of x does the function f(x) = x³- -4x attain the absolute maximum %3D in the interval…

A: Given that : The function f is  fx=13x3-4x   ,..........(1) To find: The value of x∈-5, 5 for which…

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Q: Find the absolute maximum value of f(x)=(x)(x-1)(x+1) on the interval [-1,1].

A: Definition used -   Absolute maximum value of function - First we equate the first derivative of…

Q: Find the absolute maximum and minimum values offon the set D. f(x, y) = xy², D = {(x,y)|x > 0, y >…

A: Here is the solution of the given problem. Absolute Maximum and Minimum.