Refer to Example 3 to find a value of 8 > 0 such that 1 then 1 If 0 < |x – 3| < 8, < 10-4 3 - - -

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A: Let, f(x) = x3-2x -1. Now, the required number must be root of the equation f(x) because x3-1 = 2x…

Q: 11. -6 -4 -2 0 2 4 6

A:

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Q: Show that the sum of two even functions is even and the sum of two odd functions is odd.

A:

Q: Express the set of numbers x satisfying the given condition as an interval. |3x + 5| &lt; 1

A: 3x+5&lt;1

Q: Evaluate (x by Simpson's rule breaking it into 6 intervals. 1 2+x2

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

Q: Express the set of numbers x satisfying the given condition as an interval. |4x − 1| ≤ 8

A:

Q: 2, if x -1 Find the value for a and b such that f (x) = {ax + b, if – 1 3 for all real numbers.

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous at x=-1 so we…

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A: f(-2) = -4

Q: [1, 5] th- or f(x) is

A:

Q: (2) If you are only given the formula for a function, how do you determine on what intervals a…

A: To explain: The method to determine the interval in which function is concave up and concave down.…

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Q: Find the absolute maximum and the absolute minimumof5 interval-S3. 5--4-3- ^ on the 5433 on the

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Q: 21. f(x) on (-3, 5). x² + 5

A: According to question given thatf(x)=x2x2+5 on [-3,5]

Q: Express the set of numbers x satisfying the given condition as an interval. |x| ≤ 9

A: Given: x≤9 Formula Used: z≤a, a&gt;0 then -a≤z≤a

Q: Suppose f is continuous on [1,5] and the only solutions ofthe equation  f(x)  = 6 are x = 1and x= 4…

A: Given: The function f is continuous on 1,5 and fx=6 has only two solution x=1, x=4 and f2=8, To…

Q: Express the set of numbers x satisfying the given condition as an interval. |x + 7| &lt; 2

A:

Q: Use the given graph of f(x) = /x to find a number 8 such that if Ix - 4| < 8 then Vx - 2 < 0.4 yA…

A: use limit definition for evaluating the value  of delta.

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: A recent study showed that 90% of all people have a commute time to work of 15 minutes or more. The…

A: Solution: Given information: Margin of error E= 0.06  The 90% confidence interval for the all people…

Q: Show that there is a correspondence between the two intervals [0, 1) and [0,1].

A: Given interval 0≤x&lt;1 is a subset of  0≤x≤1. In this situation ,there is an obvious injective…

Q: In a class in which the final course grade depends entirely on the average of four equally weighted…

A: Given  Charles has scored 93 ,82, and 87 on the first three test. Average of four equality weight…

Q: In a class in which the final course grade depends entirely on the average of four equally weighted…

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Q: Suppose the function f(x) = 2x3 − 9x2 − 24x + 9 gives an important quantity that depends on x, where…

A: Absolute maximum or absolute minimum values of a function in a closed interval exists at a point…

Q: Find the intersection of the given intervals. [1,00) n (-0,5] [1,00) n (- ∞,5] = (Type your answer…

A:

Q: 6. True or False The graph of the function f(x) = x? is increasing on the interval (0, ). (

A: f(x)=x2

Q: A positive number x and its reciprocal are added together. The smallest possible value of this sum…

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Q: express the set of the numbers x satisfying condition |x-1| &lt; 18 as an interval

A: The condition |x-1|&lt;18 is rewritten as,

Q: 4) Find the intervals where the function g is positive and enter exact answers only in interval…

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Q: Suppose f(æ) = |x| · x Then f-l(x) = if æ > 0, and f-'(x) = if x < 0.

A: given that fx= x.xfind f-1x for x≥0 and x≤0

Q: Find the extreme values of f(x) = In 1+x SOUITION

A: Given- fx=lnx1+x2 To find- The extreme value of the above function.

Q: 3 Find the interval on which f(x) =x'e x- is increasing.

A:

Q: In a class in which the final course grade depends entirely on the average of four equally weighted…

A: GivenTest 1=76100           Test 3=86100Test 2=79100            Test 4=x100Find x , such that…

Q: Express the following in interval notation. {x | 4<x < 5} The set in interval notation is

A: The given interval is: x|4≤x&lt;5

Q: The function fin) = 8n-2 is big-O(n). True False

A: Consider the given function.

Q: Discuss the relationship between differentiability and continuity in a short paragraph.

A:

Q: Is the number 0.5 above the interval (0.15,0.33)?

A: Given, Interval (0.15,0.33)

Q: Suppose f(x) is differentiable everywhere and f(-3) Show f(1) > -6 and f(-5) -2.

A:

Q: find the positive intervals for  x2 − 3x

A: We need to find the interval for which function is positive .

Q: (a). Find the values of a and b that make f continuous everywhere. x² -4 if x<2 x-2 f(x)={ax² - bx+3…

A: f(x)=x2-4x-2if x&lt;2ax2-bx+3if 2≤x&lt;32x- a+bif x≥3 Definition: Continuous functionLet f(x) be a…

Q: Express the set of numbers x satisfying the given condition as an interval. |x − 4| &lt; 2

A:

Q: Express the following in interval notation. {x | 4<x<6} The set in interval notation is

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Q: A recent study showed that 90% of all people have a commute time to work of 15 minutes or more. The…

A: Give that, A recent study showed that 90% of all people have a commute time to work of 15 minutes or…

Q: Find the absolute extrema of f on [-2, 3] if f(x) = x² - 6x - 1 O √5 O 2

A:

Q: Suppose that 2 < f'(x) < 4 for all values of æ. Use the Mean Value Theorem to find values for the…

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Q: A recent study showed that 90% of all people have a commute time to work of 15 minutes or more. The…

A: Given information- We have given that 90% of all people have a commute time to work of 15 minutes or…