2. Determine all values of x for which 0<= x2-11/x+1<=7 (include graph and intervals tables) *in the above question its x2 is x square of 2

Q: 8. The domain of - consists of numbers x for which g(x)_0 that are in the domains of both – and,

A:

Q: 4. [5] Please find in interval notation the values of x for which this expression is real. Show…

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Q: (2) If h is defined by h(x) = |x| +2, (a) What is the range of h if the domain of h is the interval…

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Q: 4 z+9 (z – 2) + 2 (9 – 2) < 18 (x + 1) Enter the exact answer in interval notation. -To enter 00,…

A:

Q: (2) If h is defined by h(x) = |x| + 2, (a) What is the range of h if the domain of h is the interval…

A: 2) We will modify the domain to determine the set of occuring of |x| + 2, which will be the range.

Q: 8. Construct a natural cubic spline that interpolates the function f(x) = 1/(1+ x²) at x = -2, –…

A: Let the cubic spline polynomial of f(x) be H(x). Then Hx=fa+fa,ax-a+fa,a,bx-a2+fa,a,bx-a2x-b…

Q: The absolute maximum value of the function f(x) =x3 – 12x +4 on the closed interval [-1,3] is equal…

A: Topic = Application of derivative Absolute maximum value is 15.

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A:

Q: Suppose the average costs of a mining operation depend on the number of machines used, and average…

A: Since, we only answer up to 3 sub-parts,we'll answer the first 3. Please resubmit the question and…

Q: Show that the multiplicity of (x-1) is 1.

A:

Q: 14)- Consider the following formula f"(x,) = a-4fo+3f-1 _ 2hfm(C) 6h2 3 Find the optimal h.

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Q: Give the domain of s(x)=x2+2x√16−5xs(x)=x2+2x16-5x in interval notation

A: Given the functions(x)=x2+2x16−5x

Q: 8.26 Show that the IVP x" = –6x(x')³, x(-1) = -1, x'(-1) = , has a unique solution x and find the…

A: Given IVP is x''=-6x(x')3 , x(-1)=-1 ,x'(-1)=13

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) x2 - 4x if…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: If h is defined by h(x) = lxl + 2 a) what is the range of h if the domain of h is yhe interval…

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Q: 2x-3 for *く-S メ+4 %3D ーメ+3 for マ-S メ+2 for x) -5 メ+ヒ find *ビ" し 1n for order f(x) to メ- -5

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Q: 13) Find the open intervals on which ƒ (z) = x³ – 12z is increasing or decreasing.

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Q: 14) Use the Intermediate Value Theorem to show that the po zero in the given interval. g(x) = 2x³ –…

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Q: 1) Find the absolute extremum values of f(x)=x2-4x+20f(x)%3DX2-4x+20 over the interval [1,4][1,4].

A: The extrema value of  function is f(4)=20

Q: Suppose that 2 ≤ f '(x) ≤ 3 for all values of x. What are the minimum and maximum possible values of…

A: Given , Suppose that 2 &lt;= f’ (x) &lt;= 3 for all values of x. The minimum and maximum possible…

Q: (2) If h is defined by h(x) = [x| + 2, (a) What is the range of h if the domain of h is the interval…

A: (a) , (b).

Q: Suppose the average costs of a mining operation depend on the number of machines used, and average…

A:

Q: 9. Find the local and absolute extreme values on k(x)=(x-2)° +3 on | the interval [0,5].

A:

Q: 5.5 (a) Determine the roots of f(x) = -12 – 21x + 18x2 – 2.75x3 graphically. In addition, determine…

A: Given: f(x)=-12-21x+18x2-2.75x3 To determine: Root of given function by a) graphing method. b)…

Q: Prove that for x&gt;0 the inequality 1+2lnx≤x2 is true.

A: Inequality given in the question is: Consider the function; f(x) = 1+2ln(x)-x2 Let us find critical…

Q: Find the critical points of ƒ(x) = x3 - 12x - 5 and identify the open intervals on which ƒ is…

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Q: Show graphically of the inequality 1. 2x+3y+5>o

A: Inequality: Linear equality is expressed of the form ax+by+c≥≤0. Instead of equal sign, an…

Q: 2- Let g(x) = x5 - 8.6x* + 38.782x3 - 17.25x² - 4.5927x + 10.5 then the value of g(0.25 x 101) =…

A: The objective is to state whether the statement is true or false. For the polynomial…

Q: What is the smallest integer a where f(x)=2x is always greater than g(x)=x2 for all x>a?

A: Given  : f(x) = 2x is always greater than g(x)=x2 for all x &gt; a  Implise that :  2x &gt; x2

Q: 1) Determine the open intervals on which the graph is concave upward or concave downward. (Enter…

A: Given that: f(x) = -x3 +9x2-5x-9 To find: The open interval on which the graph is concave upward and…

Q: Prove the inequality √1+x≤1+x2 for x&gt;1.

A: Consider the function. Find its derivative.

Q: 1)Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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

Q: Find a positive number x such that the sum of 9x and is as small as possible. x = Does this problem…

A: Let, the sum be denoted by f(x) So, f(x) = 9x + 1/x  So, f'(x) = 9 - 1/x² &amp;, f"(x) = 2/x³

Q: - Give the domain for k(a) in interval notation. x2 + 3x +2

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Q: on is discontinuous on the specified interval. Vx2 - 64 if IS -8 if-8<x<8 88] 0 ifx28 f(x) = {x+8

A: If a function is continuous then the left hand limit, right hand limit and value of function at that…

Q: Suppose that 2 < f '(x) < 5 for all values of x. What are the minimum and maximum possible values of…

A: The given inequality is

Q: 4. Find the absolute max and min of f(r) = 2+5x - x* on the interval [0, 4 ]

A: Calculate the value of function at local extremum point and end points of interval.

Q: 5.5 (a) Determine the roots of f(x)= -12 – 21x+ 18x? – 2.75x3 graphically. In addition, determine…

A: Solution 5.5: f(x)=-2.75x3+18x2-21x-12 The graph of the function between xl=-1 and xu=0 Since the…

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

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Q: Find a positive number a such that the sum of 36x and is as small as possible. Does this problem…

A: The sum of the number of 36x and 1x

Q: 5.5 (a) Determine the roots of f(x)=-12 – 21x + 18x2 – 2.75x³ graphically. In addition, determine…

A: The root of a function is the point on the graph which touches the x-axis. To find the root using…

Q: 3x -. Select all that apply. x² – 1 Determine all the critical numbers of f(x) =

A: We need to find the critical number of f(x)=3xx2-1

Q: Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of…

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Q: Find the maximum value of f(x)=x^3-3x on the set of all real numbers x satisfying x^4+36< (less then…

A: Given: The function fx=x3-3x To find: The maximum value of given function on the set of all real…

Q: 4. The function f (x)= 8x²-x+5 Find all values of c that satisfy the conclusion of the theorem.…

A:

Q: 4. Suppose that f(2) = 16 and that f'(x) > – 3 for all x in the interval [2,7]. Determine the…

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Q: Use intermediate theorem to explain P [x] = x* – x' – 10 has a zero in [2, 3]

A: According to intermediate value theorem of a function f(x) is continuous on [a, b] and L is any…

Q: 5. Determine the Wronskian of the functions (x)=x2 and g(x)=3x2. For what values of x is the…

A: Please refer to the image below

Q: 3. Without referring to its graph, clearily explain why P(x) =4--6x +4 has an output of Vi on the…

A: 3. Given function is Px=4x3-x2-6x+4

Q: 28. Graph of f" 2+ -1 2 3 4 5 +x+ 5 -4 4- 5. test to determine the local 2.

A: Graph