Consider the process for solving the rational equation below and answer the following questions. (Enter into each blank a number or, if necessary, a list of numbers from least to greatest separated by commas. If there is no excluded value or extraneous solution, enter "none" or "n/a" into that blank. If there is no valid solution, enter "no solution" in the valid solution blank.) 1 +1 5x Part A: What are the excluded values for this equation? (Excluded values are those that make the denominator of any term zero.) The excluded values are a ( Part B: Solve the rational equation, noting any extraneous solutions. The extraneous solution(s) is/are z#

Q: u²(x) = -x + √(x-1)' u(t)dt, u (0) = 0,u (0) = 1.

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Q: How many real valued solutions over (-1,1) to the following ODE?

A: given odinary differential equation  y'=x1-y'+ylnlny'+eπxy claim-  to check how many solution does…

Q: 5. Show that --I+#^) log, (V +1- x) + log, (VF+1+x) = 0 x². x² + 1 + x

A: We know the property of logarithm, logb(a)+logb(c)=logb(ac)

Q: 5.84 6. V (AXB)=B-(VxA)-A (V x B)

A: To find the given product :-

Q: L[u(t – 3) (1²4' – 9 4')] = 81e-4s 2 (s-ln 3)3 8 (s-ln 3)2 64e-3s 2 (s-In 4)3 6. (s-In 4)2 81e-4s 2…

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Q: 2(д-1)(1-и) 9-1)(2-и)и+1 log((q-1)(2—и)и+1) u? > 0 for u > Show that u E - 0, 1], q > 3

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Q: Find the Taylor polynomials of orders n = 0,1.2,3, and 4 about x = x9, and then find the nth Taylor…

A: f(x)= e ax f0(ln 7)= 7a   f'(x) =ea x af'(ln 7)=ea ln 7 = a 7a   f' ' (x) =ea x a2f' '(ln 7) = ea ln…

Q: u²(x) = -x + = = = √" (x −1 )* u(t)dt, u (0) = 0,u'(0) = 1.

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Q: Evaluate E= Z P₁.91 n₁ + A P2.92 n₂ X₁ * for z = 2.575, x₁ = 44, x₂ = 94, n₁ = 50, n₂ = 108, P₁ = n₁…

A: (2) Answer:- Given, z* = 2.575x1 = 44 and n1 = 50x2 = 94 and n2 = 108Using formula,

Q: (1) VL1, L2 (L1 L2 iff L₁* = L₂"). True

A: False. The statement is not true in general.

Q: Expand logarithm. 3) log , (x - y -z') O a) loggx+log&y+loggz O b) 5loggx+5loggy+5loggz O c)…

A: Using rules of logarithm to expand given expression.

Q: show that 11 1+ 1 n-1 1 n(ā-μο)2 Σ=1(xi-x)2 n/2 n(ā – μο)2 Σ=1(α; - z)2 (xi

A: We need to prove that:

Q: Can you show the steps that causes [(1/C)*∫i1dt] to turn into [C*(dV1/dt)] please.

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Q: Find the artho gon al traje eteries to c°y" - 4y + x*

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Q: O a. 1-1/e O b.0 O c. 1+1/e O d. Divergent O e. 1

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Q: Let 6 -2 3 -5 A = -2 and B = 2 -3 (a) Find AB, A-1, and B-1. 14 -24 AB = -4 7 1/2 A-1 %3D 1 3 -3 B-1…

A: We use the general rule for the inverse of a 2×2 matrix and multiplication of matrices to answer the…

Q: u²(x) = -x + ² = f (x −1 ) 'u (1)dt, u (0) = 0,.u '(0) = 1.

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Q: Let f(x, y, z) = x³y5 + z4 and x = (a) Calculate the primary derivatives of, of of дх' ду'dz' (Use…

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Q: f(x)= == ¹xcl! Obtain the Fourier transform of

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Q: 를 + 2 I→-5 5-+x

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Q: X 50 40 75 10 15 25 65 X-X X-X/S (X-X/s)

A: From the provided information, The data values are as follow: 50, 40, 75, 10, 15, 25, 65 Sample size…

Q: Prove for r ≠ 1 that ∑_(k=0)^(n-1)(rk)=(1-rn)/(1-r). If ∑_(k=0)^(n-1)(rk), then compute s(1−r) =…

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Q: 20/17-2

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Q: 1 Let F,= (,1]. 00 Then U.Fn %3D n=1 [0,1) .A O (0,1).B O (0,00).co (0,1].D O

A: Option D is correct.

Q: 17. The function f(x) = 2 + 2x2 - x* is increasing on: %3D A) (-00, -1) only. B) (-1,0) and (1, c0).…

A:

Q: 2t dt J 1+e 1+et

A: By the method of substitution I have solved The integration

Q: Stdent u) |1이111012|1211| 119|(1 lo Age of Sapton

A: The data of ages given is shown below 10 9 10 12 12 11 11 9 9 Number of…

Q: 12) Forx-1, we have ET-. (") ×*c1 – x)"-* = (a) 1 (b)0 (e) 2 (d) No Answer a b d O O

A: The binomial theorem is a+bn=∑k=0nnkakbn-k. Write the given expression in the form of this formula.…

Q: (x vy) ^ (x' v z) for x = 1, y = 1, z = 0

A: x = 1 => x' = 1' = 0 y = 1, z = 0 => x v y = 1 v 1 = 1      x' v z = 0 v 0 = 0

Q: 7/j=4/z+7/w j=

A: