3 Given that sin (a) 7 values of sin (a + b) and cos (a - b). sin (a+b) = cos (a - b) = (b) = -1/ and cos with a and b both in the interval find the exact

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Q: Give a combinatorial proof of the identity below. 1-2 (0) 4k = 33 Μ j=0

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Q: how that the group of automorphism of a =yclic group of degree four is of order two.

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A: The solid region: is a tetrahedron with vertices (0,0,0),(1,0,0),(0,2,0) and (0,0,3).

Q: If a group G has a composition series then any two composition series of G are isomorphic.

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A: The continued fraction is .

Q: 24. Define f: JJ by f(1) = 1, f(2)= 2, f(3) = 3, and f(n) = f(n-1) + f(n − 2) + f(n-3) for n ≥ 4.…

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Q: Given the argument:…

A: (1) Translate the argument into symbolic form as follows:For the statements:, , this argument…

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Q: 3. Apply the following conditions to the corresponding ODE solutions in Q2. State whether or not the…

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Q: Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F across…

A: Given the field isand     Formula used:Flux is given by

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Q: Every homomorphic image of a group G is isomorphic to some quotient group of G'.

A: We will use the first theorem of Isomorphism.

Q: x + 2y = 6 3x + 5y = 20 -4x + y = -42

A: Given system of linear equations are  .a solution  of the given system means that it satisfies all…

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Q: Use the graph to solve the equation and inequalities. (a)-x=x-2 (b) -x<x-2 (c) -xx-2

A: Given:(a): (b): (c): We have to use the graph to solve the given equation and inequalities.

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Q: Using Taylor series, prove that +4 X (a) cos x = 1 - + —+... 2! 4! (b) sin x = x- +3 ts + 3! 5! +...

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A: 53. To determine whether the following matrix products are defined. When the product       is…

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Q: Which situation involves permutations?  A. choosing a dozen flowers out of 30 to create a bouquet B.…

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Q: A person needs ​$17,500  immediately as a down payment on a new home. Suppose that she can borrow…

A: A person needs ​$17,500 immediately as a down payment on a new home. Suppose that she can borrow…

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Q: Find three different spanning trees for the graph. (There are many different correct answers.)…

A: Spanning tree: A spanning tree is defined as the subgraph of an undirected connected graph such that…

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A: A consumer research company wants to estimate the average cost of an airline ticket for a round trip…

Q: If possible express the vector v as a linear combination of V₁, V₂, and V3. =(0, 0, 0), V₁ = (3, -1,…

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Q: Let A and B be bounded NON empty sets of R, and let A + B := { a+b: at A, bt B3. Prove that supla…

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Q: Compute the following matrix product: You can resize a matrix (when appropriate) by clicking and…

A: The given matrix product,The aim is to find the matrix product.

Q: The characterstic of necessar not frile. R finite field but the non-reso but поп- чего Converse

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Q: Use the functions, g(x) ==|x-1|−5, r(x)=²} (x+5)−3 p(x) = −( ² (x + 1) ²³. + 6 to answer the…

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Q: how many student have seen none of these movies and how many have seen 2 or more?

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Q: Find values for the the entries in the first matrix to satisfy this equation: 0 0 39 9 +] 0 02 7 24…

A: I have explained everything with in the solution. Please go through that

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Q: 36 *-[23] =[¦ ¦ ]· E = F 1 1 -3

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Q: (13) Find the coefficients of the trigonometric, symmetric interval Fourier Series for the function:…

A: f(x) is periodic with period 2π, piecewise continuous and integrable in [−π,π]. The Fourier series…