5. Find the on the interval [0, 4]

Q: х — 1 is 5 - The range of f(x) = O (-∞, –5) U (-5, ∞) O (-∞, 5) U (5, ∞0) O (-∞, ∞0) O (-∞, 1) U (1,…

A:

Q: For which interval is the function f(x)=x√√4-x² continuous O (-∞, -4] and [4, ∞) O (-∞, -2] and [2,…

A:

Q: Show that f1x2 Vin x is right-continuous at x = 1.

A:

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: (- 0,a) is measurable.

A: Note that, every interval is measurable.

Q: 9) State the intervals of increasing and decreasing behavior in the function k(x) = x2 In x?.

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Q: 2 - ) at x = 4 1+ x)

A:

Q: Find a polvnomial f(x) of degree 4 with real coefficients and the following zeros. 3,-4, 2+i 1) - 0…

A: Given,  The zeroes of the 4 degree Polynomial f(x) is 3, -4 , 2+i and 2-i.

Q: 8. Is the set of functions f₁(x) = 3e³x and f₂(x) = -3e3³* independent? Show using the -3.x…

A: Given functions- f1x=3e3x  and  f2x=-3e-3x To show whether the given set of functions is independent…

Q: Suppose that ƒ'' is continuous on [a, b] and that ƒ has three zeros in the interval. Show that ƒ''…

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Q: Find the length of the graph of f(x) = cosh(x) for 0<x< In(12).

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Q: Is it possible for φ(n) (the Euler's totient function) to be bigger than n?

A: The objective is to find the possibility (if any) for φ(n) (the Euler's totient function) to be…

Q: (3) Show that the function is discontinuous on the specified interval. Vx2 - 64 if x < -8 if -8 <x <…

A: Note: According our answering guidelines we have to answer only one question (if there are multiple…

Q: The interval on which f(x) = 5 – 12x2 – 4x³ is concave up is: (-∞, –1) © (-1, 00) O (-0, 1) • (1,00)

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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: Determine two unique values of θ in the interval [0,2π), such that                    sec (θ) = 2√3/…

A:

Q: Consider the following Lp: Max Z =5.4 x, +6x2 Such that 4x, + 3 x, < 20, 000 (Hours available)…

A: The given LP problem is                      Max Z=5.4 x1+6x2subject to            4x1+3x2…

Q: Suppose f  is twice differentiable on R  and has threeroots. Show that  f " has at least one real…

A: According to Rolle's theorem, there is a zero of f'x in between two zeroes of f(x).

Q: Show that - In(x – V - 1) = In(x + Vr – 1)

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Q: Inn NTT <os 2. n=1

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Q: If Зх — 2,х <3 -{ - h(x) х4 — 74, х 2 3 Is h(x) continuous at (x=3)? 1 Add file

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Q: Express the following in interval notation. 3. 4 < x < 19

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Q: For what values of a, m and b does the function x = 0 0 < x < 1 1< x< 2 3, f(x) = -x² +3x + a, тх +…

A: to find the values

Q: is the net signed area between f(x)=2x+2 and the x-

A:

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: and the domain of the function using interval notation. To enter ∞o, type infinity. To enter U, type…

A: We can solve this as follows:

Q: . Determine the upper bound on the error in the approximation: x2sinx3 x. - if x|<0.8 6.

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Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

A:

Q: 2. Verify that the Mean Value Theorem (MVT) applies to the function f(r) on the interval 37 and find…

A: Given query is to find the value that setisfy the mean value theorem.

Q: 2. Find the first 3 iterates of the function f(x) = 0.75x when xo = 5. %3D 5, 3.75, 2.8125 4.25,…

A: First iteration is x1 = .75*5 = 3.75... Second iteration is x2 = .75*3.75 = 2.8125... Third…

Q: Determine the (largest possible) intervals on which the function ƒ1x2= 2x2 - x4 (as shown) is…

A: according to given graph, given function is one-to-one in x∈-∞,∞

Q: 29- For uhat values of a and b is ax+2b x+3a-b くXS2 3X-5 Continuous at every X

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: What is the absoluite extrema of the function h in interval [0, π]. Calculate and state the…

A: Exponential and sin, cos are always continuous

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: 8 — х — x2 if x 4 -

A: f(4-) = 8 - 4 - 16 = -12 f(4+) = 2*4 - 20 = -12 f(4) = 8 - 20 = -12

Q: See image below.

A: We subtract x from both sides

Q: 3. Find the interval fconvergence of the Sevies : 1-3(x-4) + 9 x-4)-..

A:

Q: Verify mean value theorem for ƒ(x)=x' – 5x+6 over the interval [1,3].

A: Please refer to the image below

Q: Find all numbers, c, that satisfies the Mean Value Theorem for f(x) = x3on [1, 4].

A:

Q: 4 Determine the set of x-values where f(x) 12z is continuous, using interval notation. (-x,5) u (…

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Q: 5. Show that the functions x,x? -,x³ -x x are mutually orthogonal in the interval [-1,1].

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Q: +4イ find the cyitical Points of fCks and the intervals on which the function is increasing de…

A:

Q: Is the distance between any two different real numbersalways positive?

A: State whether the distance between any two different real numbersalways positive or not

Q: 5. Find three relation from {1, 2} to {6, 7} that are NOT functions.

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

Q: What is the value (i.e. what do we learn) from using the Wronskian on a set of functions?

A: Let F = { f1, f2, f3, ...fn} be the set of functions. 1. If W(f1, f2, f3,...fn) =0 Then we say…

Q: estimate the type of the function at the interval {(1,2), (2,5), (3,5), (4,7)} is it: 1-1 or onto..?

A:

Q: (- 0 ,a) is measurable .

A: Given a statement

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

A: Given, Interval (0.15,0.33)

Q: hraj h(x) = 3x-2 x347

A:

Q: 3. Show that 5 x + 7 is a continuous fimction

A: Let, f(x) = 5x+7 be defined over R, the set of all real numbers. Choose an arbitrary point c in R.…