What value should be assigned to c so that f(x)= the set of real numbers? x²+x-20 x-4 3c x < 4 x ≥4 is continuous over

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A: Here we have to find zero divisors of Z6 .

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A: Given, P(x, y)= "x sent a text message to y".

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Q: B: 3:Use Gamma & Beta properties to evaluate : f (In x) 3 dx

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Q: az"¹)]sin(a @)-¹ + a² az-1)2]sin(a w)₂-¹ + a² az-1)³]sin(a @)²-¹ + a² -(az-1)³]sin

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Q: 9) If f(z)=u-iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

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Q: 1. Let 1, y € R" be given. (a) If ||z|| = ||y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1…

A: \documentclass{article}\usepackage{amsmath,amssymb}\begin{document} (a) Norm x=Norm y=1\\ Let angle…

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Q: 2) f(x)dx= 0.5 by using Simpson's rule with h = 0.5 then b= A 15 B2 CI D 2.5

A: Option c is correct

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Q: - -2-4 For matrix A given by 1 -2 1 2 3 -6 3 6 Find Column space, Null space and Row space of A Also…

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

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Q: 2 cos x Let f(x) 1 and g(x)= = = - 1-sinsin x find the inverse function of f(x) * g(x) sinx+tanx…

A: Given that,fx=cos2x1-sinx-1gx=sinx+tanx1+secxThe inverse function of fx*g(x) is determined as shown…

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Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval:0<=x<=pi

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Q: (b) Determine x(Cn, k), the number of k colourings of the cycle Cn with n vertices, for n> 3.

A: (b)  We can do this directly using the principle of inclusion-exclusion. Labelthe vertices of Cn…

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A: To find the inverse Laplace transform of the below function. L−14s2−5s+6s+1s2+4

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A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: QUESTION 6 Solve the following boundary value problems a. y"+4y= 0, y(0)=-2, y (7) = 5 6 b. y"+3y=0,…

A: According to our guidelines we can answer only one question and rest can be reposted.

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Q: A subset (a,b) ≤R is T2-space in (R,Tu) * 1 true 2 False

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Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries. Q LLL…

A: Solution :-

Q: 6. Check the convergence of the following series: (a) Σ (1+; )" 8 tan-¹n (b) 1+ n² 1/n (0) Σ…

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Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. 2y+z+x= 4, 2y+z+x=6,…

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

Q: 3) For the function f(x)=2* the two-point formula to approximate the first derivative of fat xis…

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Q: find the residue at each pole of the function 1 f(z) = (2² - 2x + 2)² 2z

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Q: Q: In usual topological space (R.Tu). answer the following: 1- Is [0,1] is compact set in R? Why?…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: 3. Find the maximum and minimum values of z-a - 1 āz on |2 <1 (where a with |a| < 1 is fixed)

A: Given: z-α1-αz To find: Maximum value

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Q: Solve for x. All final answers must be in Znwhere n is the modulus.   x+ 2 mod 9 ≡ 0

A: We have given that ,  x + 2 mod 9 ≡ 0 We need to find the value of x under modulus 9. We know that…

Q: . Show that d(w) cos(Kt). = π[d(w − K) + d(w + K)] is the Fourier transform of -

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) 5 5x¹y…

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Q: 2) Two friends are offered similar jobs at partner companies in Atlanta. One friend, a woman, is…

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Q: Consider the division of two polynomials: f(x)=(x-c). The result of the synthetic division process…

A: Part (a) We have the coefficients of the dividend are 1  -2   -13   -1  -48 So, the dividend is:…