In the diagram below, BSbisects ZEBC and BR RC. If mZE = 84°, find a, b, and c. B X = y= ZF 96 IT) E NXA 근 y X T S C

Q: 1- Find the general solution of the following homogeneous second-order ODE. y”+6y’+5y=30 a) Data:…

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Q: Let the terms a1, A2, A3, an be in G.P. with common Let S denote the sum of first k terms of this…

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Q: O Compute the Transitive Closure of the following relations on the set A={1,2,3,4}. (i) R₁ = {(1,2),…

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Q: A rotating light is located 18 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: (a) Find a vector function that describes the curve of the intersection of the cylinder z+y+2z=4. 2²…

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Q: Estimate the area under the graph of the function f(2)=√√2+5 from z=-3 to z = 4 using a Riemann sum…

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Q: Given triangle PQR with vertices at P(-1,-3); Q(2,0) and R(1,3). Draw in one rectangular coordinate…

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Q: Graph each function using degrees. 3) y sin 0-2 90° 180° 2709 360° 450° 540 4) y = cos 0 +2 90° 180°…

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Q: Let f(x) = 3 + cos (5 x) where 0 < x < 2π. Next we do a Fourier series expansion of f(x). The…

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Q: Define P(n) to be the assertion that: n n j= j=1 = (a) Verify that P(3) is true. (b) Express P(k).…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: All college freshmen will gain 15 pounds. Susan is a college freshmen. Therefore, Susan will gain 15…

A: We have to test the validity of the given arguments: All college freshmen will gain 15 pounds.Susan…

Q: Consider the following differential equation. Let M = y5y² sin(x) - My = Nx = (x-y5+ y² sin(x)) dx =…

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Q: S(n) = 1+=+=+...+=(n = N), then prove that 2 3 -1) + S(2) + ... n + S(n-1)=(nS(n)-n) or…

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Q: G is a finite group, than o(G) = Σ- o(N(a)) here this sum is taken over one element of

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Q: 5 - [6 1 [] Compute the area of the parallelogram determined by u, v, u + v, and 0, and compute the…

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Q: 8. Consider the matrix A = [3 21 15 0 (a) Find the characteristic polynomial for A. (b) Find the…

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Q: Sketch the graph of the function and check the graph with a graphing calculator. Before doing so,…

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Q: -prime and m = mmm Then f(x) = 0 (m) has a solution if the congruences f(x) = 0 (m) has a solution.…

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Q: An indoor physical fitness room consists of a rectangular region with a semicircle on each end. The…

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Q: 3. Supply the missing integrand and limits of integration. 5 (a) [ [² 62²y dady = 2 /2 (b) [₁" ["²…

A: Here the double integration is given. If the double integration is separable then saperately…

Q: Elas woke up in the middle of the night and, due to a power cut, it was very dark in his apartment…

A: It is given that the large box contains 11 blue pencils, 14 black pencils and 8 grey pencils. Elias…

Q: Y" - 5y" + 3y' +9y = 0, y (0) = 0, y'(0) = -1, y" (0) = 1 (use Laplace Transforms)

A: To solve the given initial value problem of the differential equations Using the method of the…

Q: Find the area of the region bounded by the curves y=√x + y = ½ x the endpoints are: the area is:

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Q: Let C = 1 1 0 (19) 01 0 0 1 Find ect and the solution to X'=CX + () t X (0) = 0

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Q: differential YP Determine the form of of the given equation. (Do not determine the coefficients). y"…

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Q: 4. A spring with a mass of 3 kg has damping constant 30 and spring constant 123. (a) Find the…

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Q: For what value of n, and b? an+1 +bn+1 a" +b" is the geometric mean of a

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y, z) = 3x + 4y + z, subject…

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Q: f(x) = x² + 2x - 8

A: The given function is, fx=x2+2x-8. (A) rational function g(x) that is opposite of the given…

Q: Consider the following matrix 4 1 -1 1 -1 4 1 1 4 2 -1 1 a. Use Householder's method to place it in…

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

Q: Write the equation in logarithmic form. 10³ = 1000 Ⓒlog 1000 = 3 Ⓒlog 3 = 10 1000 = log 3

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Q: . Determine whether or not x³ + 2x + 1 and x4 + 3x - 2 are congruent mod (x² + 2x + 2) in Q[x].

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Q: ). Use Stokes' theorem to evaluate f(3x − 2y)dx + (4x − 2y)dy + (z+2y)dz, where C is the circle x =…

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Q: (c) What are the conditions on the common difference d and initial value a, that would make the…

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Q: Use the series solution method to solve the Volterra integral equations: 호 - - f (x - 1)u(t)dt *12.…

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Q: 2. Let R be an integral domain (a) Define prime element and irreducible element (b) Prove every…

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Q: Prove each of the following statements using mathematical induction. (b) n Prove that for any…

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Q: Find the area of a parallelogram with corner points at (2,1), (4,5), (7,5), and (5,1) Area: =

A: Area of a parallelogram is given by absolute value of the determinant of the adjacent vectors u and…

Q: 1 1 S₁) = 1 + = + = =++ (~EN). S(n) =1+-+-+...+ +... 2 3 + S +...+S(n-1)=(nS(n)-n) or (nS(n-1)-n+1)…

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Q: Consider a finite group G and H, K to be subgroups. Let H ⊂ K ⊂ G. Prove [G : H] = [G : K] * [K : H]

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Q: 74 72 70 68 66 Height (in inches) 2 62 60 Height = 51.46 + 1.728 (Shoe Size) ● 4 5 6 7 ▼ 8 9 Shoe…

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Q: (Linear Functions MC) An online streaming service that offers TV shows, documentaries, and movies…

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Q: 2. Find the area of one petal of the graph r = 2 cos 20. Sketch the graph.

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Q: Suppose the class equation of a group G is |G| = 1 + 4 + 5 + 5 + 5. Show that G has an element of…

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Q: 1+x₂+...+x. Prove that ₁) (1 + x₂)... (1+x₂) ≤1+S+ S² S3 +++ Sn

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Q: A group G acts faithfully on a set S if g * s = s for all s € S implies g = e. Show that G acts…

A: Proof 1: If G acts faithfully on S then mg≠mg', where g≠g' ∈G. Let G acts faithfully on S. Assume to…

Q: Domain:[-3,0) U (0, 1) U {3U (, ∞0) Range: [-6, -3) U (-3,-2) U{-1U (1, ∞)

A: simplify what it means after the third U in both answers . like write it in another way...

Q: Show that if p = 1 (mod 4), then x² = -1 (mod p) has a solution given by the least residue (mod p)…

A: Given: p≡1 mod 4We need to prove that x2≡-1 mod p has a solution given by the least residue mod p of…

Q: Let {₁,..., un} be an orthonormal set in R" and let U = [u₁ U₂ of the following is/are true? (Select…

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Q: Let f(n) = 4n³ +2n² - n and g(n) = n³. Which of the following C, no prove that f(n) = O(g(n))?…

A: Given Data: Let us consider the given data, fn=4n3+2n2-ngn=n3 Prove that: fn=Ogn