) Determine the intervals that satisfy the inequality (5– 3x)² > 81 for l X+4 O Solve the inequality sx-2.

Q: Find one real root of g (x) = In(x*) = 0.70 between 1 and 2. How many number of iterations were…

A: Given function is gx = lnx4 = 0.70 when   lnx4 = 0.70⇒lnx4 - 0.70=0⇒ hx = lnx4 - 0.70 initial…

Q: Let = e²i/n be an n-th root of unity. Show that (k(1-n) Resck (27²1) n for all 0 <k<n-1. =

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Q: 1. Express the sum 2.019+2.020 into a fraction of two natural numbers. (2.019 = 2.019191919.. .) 2.…

A: As per the guidelines we can solve 1 problem only.

Q: solve the following rational inequality (x)/(1-x) &lt;=3

A: To identify all the real numbers x satisfying the given rational inequality

Q: c) The set A of rational numbers in the interval [1,5] has Lebesgue measure 4.

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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,…

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Q: Determine the intervals in which solutions are sure to exist. (x² – 25)y6) + x²y" + 6y = 0 Enter the…

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Q: Solve for n algebraically. Show all your work. (n + 2)! 56 %3D n!

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Q: 2. Solve for n. C(n. 4) - 210

A: The definition of combination is Cp,q=p!q!(p-q)!. The definition of factorial is…

Q: 15 Using intermediate value theorem, the equation x² + = 4x has a solution over O 1,21 O 10,1[ 13,4[…

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Q: 6-Given P(x)=2x3+3x2+1 and Q(x)=8x-2, find all the possible values of so that Q(x)<P(X )state your…

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Q: Solve for r in terms of P, n, and t: P = (1 + =) ² Or=(nP-1) Or=In(P)-1 Or = n(P-1) Or="(P-1) T=…

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Q: (ii) Find the set of values of k for which |(x- 4)(x+2)|=k has four solutions.

A: Let's find.

Q: 1. Explain the following intervals on the line numbers: (a) -3 5 (e) x 0} (d) { x:20} x²-1 2x (c)…

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Q: solve the following rational inequality for x

A: Givenx+1x+3&lt;0solve the following rational inequality for x

Q: On what intervals is f(æ) = x³ +3x² – 24r+7 increasing? The graph is increasing on the intervals OD…

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Q: 4 - find the absolute max. and min. o f the function f = x² +y? on the close d triangle Plate boun…

A: We have f(x, y) = x2+y2

Q: 2 21. The maximum value of- is 3 cosh 2r + 2 A 2 в 5 D

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Q: Find a positive number a such that the sum of 25x and is as small as possible. Does this problem…

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Q: 3. Use a number line to find the interval(s) on which the function (x) = 3* - 9xIn(3) is increasing.…

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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: Provide answers in interval notation. 18) x2 – 5x s -4 x2_5x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 8 21 14 The two triangles are similar. Solve for x. X=

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Q: Find a closed-form formula for f(n)=...) k+1 II₁¹. (Write your answer in the form of: k

A: We will use definition of product notation to find closed form of given product form.

Q: 3. How many integer solutions are there to the equa- tion X1 + x2 + x3 = 9, with x; > 0? How many…

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Q: D. Find (with proof) the infimums of the sets S = {1 / n:n e N} and T = { (-1)" / n :n e N}. Is…

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Q: On the graph of f(x)=cosx and the interval [2n,47t), for what val of x does f(x) achieve a maximum?…

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Q: Solve 4cos^2(t)-15cos(t)-4=0 exactly on the interval 0

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Q: List all intervals for which there are possible unique solutions (t-5)x''-ln(t)y'-y=et

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Q: Show that for f(n) = n³ - (ri'log, n) + 2n E O(n³ ) A give the constants: (c, n) B:arguing that your…

A: When a function is bounded above by another function with a factor asymptotically, it is referred to…

Q: Find the length of segment NL. N x-8 x- 5 4 K L. 0 4 15 O19 3.

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Q: Given the interval (a, b) on the x-axis with the point c inside, find the greatest value for 8 > 0…

A: The objective is to find the correct option.

Q: Find the values of x such that |2x + 7| < 0.01. The values of x that satisfy |2x + 7| <0.01 are…

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Q: termine k such kx2  _ 4x + 1/2 + 0 that has real and different solution

A: To determine the value of k such that the below equation has real and different solutions.…

Q: Solve the following rational inequality for x. Give your answer in interval notation. Provide your…

A: Let's solve for x.

Q: Find a positive number a such that the sum of 16x and is as small as possible. x = Does this problem…

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Q: 9x+5 Given that f (x) = find f-(x) AND prove by co 3

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Q: Find all solutions to 2cos(θ)= −1 on the interval 0≤θ<2π

A: Topic - trigonometric Equations

Q: Solve the E inequality. Sol |3r |5x – 2| – 11 >-3 Iso As Isolate: || Ste Sol As Is: or Step 1:

A: Explanation of the answer is as follows

Q: 0 0 which satisfies the implication when N = 2022. (ROUND TO FIVE DECIMAL PLACES WHEN NECESSARY.)

A: Let f(x) be defined for all x is not equal to a over an open interval containing a. Let L be a real…

Q: (c) (#n) = (n cos“ ()), n e N. %3D 2 (d) (xn) = ((-1)" - n+1 n E N. %3D

A: To find the limit superior and limit inferior of each of the following sequences: xn=ncosnπ2, n∈N…

Q: Solve the following inequality algebraically. Show your work on a separate paper. |x-2|29

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Q: IA is the funclion glven by A(x) - (acx), where f(x) - 3r- 1 and g(x)- Irl, then which of the…

A: From the given function: fx=3x2-1  &amp;  gx=x And hx=fgx

Q: 4xーx? X→4(2-安

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Q: + 2Y < 2 メ

A: We have to find the solution

Q: Let " - y' + 21 = In(t – 1.)the longest interval the solution is sure to exist (0.1).

A: Here is the solution of the given problem.

Q: Over what interval on the graph shown will the Intermediate Value Theorem (IVT) apply? O [-5, –…

A: The intermediate value theorem states that if f(x) is a continuous function whose domain contains…

Q: 5. Find the general solutions to the nonhomogencous, lincar difference cquations. (a) x,12 + X141 –…

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Q: Find the interval (a, a + 1) for integer value a for which e- = 2x + 3 has a solution.

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