6(x+3)-13<2x+8+4x Graph  Interval Notation  Set Notation

Q: Determine the value of 6>0 for which lim (3x² – 1) = 47 x+ 4 A 6 = max{ – 4-16 -5, - 4 +/16+ 3 들) 3…

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Q: 3. lim 7-t -2 七や3 4-t~1 ゼ

A: We have to find the limit of the given function: limt→37-t-24-t-1+6t Since this is 00 indeterminate…

Q: 4 2. lim 8 g० ४-०

A: Given,          limv→2v2-4v3-8

Q: 2. 8) lim 2X- X-15 メーマ

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Q: State the Intermediate Value Theorem. Use a graph to explain the concepts behind it (The concepts…

A: A Continuous function is a function whose graph is continuous meaning that it is a smooth curve…

Q: Solve inequalities f (x) < 0 where f (x) = (x + 4)(x + 1)*(x – 2)°(x – 3)(x – 7)æ %3D Divide the…

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Q: 2 |11x - 36x + 9| Determine lim х>3- 9х — 25х-6 9х -25х- 6

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Q: x² – 9 - lim x--3 x² + 2x – 3

A: The given function is limx→-3x2-9x2+2x-3

Q: Limit (x-> - infinity) [(5x-3+x3 )/ (5x2 -4)]

A: We have to find the value of     limx--&gt; -∞[(5x-3+x3)/(5x2-4)]

Q: 6x-2x2 lim x0 4x2-7x 4-By using Hospital's rule the limit equal to A) -6/7 B) 6/7 C) -7/6

A: We have to find the value of the limit limx→06x-2x24x2-7x by using L-Hospital's rule .

Q: Limit x->8 (3-(x+1)^1/2)/(x-8)

A: Given limit is : limx→83-x+112x-8 To find the value of limit.

Q: Determine all intervals on which f(x) 2 0. Graph of f 8. 6. 5. 4 3. -9 -8 -7 -6 -5 -4 -3 3 4 5 6 78…

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Q: lim X-4 (x²-3x-4)² X-4

A: We need to evaluate the following limit limx→4x2-3x-42x-4

Q: limit (x-> infinity) ({2-x)(3-2x)]/ [(x-1)(4x+3)]

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Q: Find the critical point and determine if the function is increasing or decreasing on the given…

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Q: у3-у2-у-2 10. lim у-2 2у3-5у2+5у-6

A: Given: L=limy→2y3-y2-y-22y3-5y2+5y-6 For evaluating given limit, we use L hospital's rule According…

Q: lim Va-1 х-1 х+1 х-1

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Q: х2+x-12 9. lim x-3 2x2-7х+3

A: Given: limx→3x2+x-122x2-7x+3 To Find: To evaluate the given limit.

Q: An absolute value function with a vertex of (4,14) is negative on the interval (−∞,−2). On what…

A: The absolute value function with vertex h,k is defined as fx=ax-h+k. The vertex is 4,14. Therefore,…

Q: Draw the graph of the function y = x-[x],where [x] denotes the greatest integer in x not greater…

A: The graph of fx=x-x is as follows:

Q: imit as x approaches infinity of (1-x)/(3n+5)

A: From the given problem: limx→∞1-x3x+5 As we know that: limx→afxgx=limx→afxlimx→agx

Q: √9-x find the domain interval notation

A: The solution of the problem is given in the next step.

Q: lim 3-V5+x 24 X-4

A: This is one of the simplest topics of algebra i.e. limits and this question can be done with just…

Q: 24. lim 4- 2x x-2

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Q: Express the inequalities xs 3 and -1sx< 4 in interval notation.

A: x≤3 and -1≤x&lt;4 The first inequality means x values less then and equal to 3. For equal to sign…

Q: x*-2x2-x с- lim x-2 , х 2 2 х2-4

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Q: Solve the inequalities. If R be a relation on set of real number defined by R = {(x, y):*+"= 1}.…

A: Domain:- The set of all possible values of "x" that the relation can take. Range:- The set of all…

Q: If a box with a square cross section is to be sent by the postal service, there are restrictions on…

A: volume of the box,V(x)=x2104-4x

Q: limit x--->1     3-X^2 / 1-x

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Q: lim (5- x) 6- 3- 2- 2 3 6. 4.

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Q: lim 4 square root x -3/x-81 x-->81

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Q: Limit (x-> infinity) [(x3 +4)2  -x6]/ x3

A: Recall: Definition of limit :     Let f(x) be a function defined on an interval that contains x=a ,…

Q: 5. During which intervals of x is the graph of the function f(x) = - (x + 3) (x + 5) (x – 1) below…

A: NOTE: Refresh your page if you can't see any equations. . here we need to find the interval where…

Q: Find the point of inflection of the graph of the function f(x)=x^3-3x^2+21x-19 (x,y)=( ) Describe…

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Q: Express the interval using two different representations. -8 -6 4. 6 10 12 -12 -10 (6) U or Interval…

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Q: What is the range of f(x)= x square rooted (use interval notation)

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Q: Solve the rational inequality. Graph thẻ sôlutions. interval notation. x+4 <3 2x-1

A: Given: x+42x-1≤3

Q: 2. Sketch a graph of a piecewise function. Write the domain in interval notation. [Suggestion: for…

A: Let's find.

Q: 9-x find the domain in interval; notion

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Q: Find the maximum and minimum of f(x, y) = x² + y² - 8x – 18y if x > 0, 0 x. (Use symbolic notation…

A: The solution is given below:

Q: (5 points) Suppose that f(x) is differentiable everywhere and that f'(x) > 5 for all x. If f(10) =…

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Q: Ity hotation and in interval notation? If an interval is only discrete, identify the interval as…

A: Topic:- domain and range

Q: (5х+6)(х- 2) lim x→-2* (x-2)(x+2) X -

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Q: (а) 5x-3 – 4 (i) Lim X-0 2x-2 + 9 (х — 3)2 (ii) Lim 7- 2x -3 2х — 3

A: to solve the limit proceed as follows…

Q: What are the 8 extreme values (both max and min) of the fu

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Q: Addition of Funetions: 1. f (x) = 45x - 79; g (x) =-89x - 40 f (x) = 135x2 - 15x + 32; g (x)= -45x2…

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

Q: lim(x^2-3)=-2 x-->1, write a formal statement and sketch a graph

A: The limit is limx→1x2-3=-2. That is, limx→1x2-3=12-3=1-3=-2 It means that, as the value of x…

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Given: f ( x ) = - x + 22   To estimate: Open intervals on which the function is increasing or…

Q: Lim x-0 et - 10t X

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Q: (a) Find a number x in the closed interval , such that the sum of the number and its reciprocal is…

A: A continuous function f on a closed interval a,b has both absolute maximum (largest ) and absolute…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.