Given the triangle below, find the following: Note: picture is NOT drawn to scale. Round all answers to 3 decimal places. Assume LA is opposite side a, ZB is opposite side b, and ZC is opposite side c. a= 28 LC= C= A 29° 21° B degrees

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Q: 1.a | Starting from the geometric series Σ₁ x" n=0 determine the Maclaurin series for A(x) = I…

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Q: 2. Simplify completely: (a) √1+i√3 (b) (2 + 3i)¹+i

A: 2. To Simplify: (a) 1+i35 (b) 2+3i1+i

Q: Find all the eigenvalues (real and complex) of the matrix A -5 5).

A: λ is an eigen value of a matrix A if  detA-λI=0where I is identity matrix of order same as of A.

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Q: 6. Let and additionally we are given that -3 -5 A -3 1 20 1 1 3 A = 9][8 0 0 3 0 3 0 3 -1 -1 0 5 00…

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Q: 11. Let R and R' be two rings. A mapping f: R→R' is called an antihomomorphism, if f(x+y)=f(x) +…

A: Let x, y ∈ R. Then (fg)(x + y) = f(g(x + y)) = f(g(x) + g(y)) = f(g(x)) + f(g(y)) =(fg)(x)+(fg)(y),…

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A: A. The circles located at A,B,C can be graphed a sshown below.

Q: Find the coefficient of a-2 in the binomial expansion of  (27a2 - (1/81a3))9

A: Let us consider the expansion x+yn The binomial expansion is obtained as x+yn=∑k=0nCknxn-kyn

Q: 1. Describe and sketch each of the following sets of complex numbers: (a) 1 0 (d) |z −1²+ |2 + i|² <…

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Q: III. Find the determinants of the following matrices using Laplace Expansion and Triangular matrices…

A: Given matrix is C = -2    7  0   6-2  1-1  3   2   2  3   4  0   5   3  2   5-4-2   2  0   3-1   1…

Q: Let u₁, U2, U3, U4, U5 E R and define ū = U1 ՂԱԶ U3 ՂԱՃ U5 and = 2u1 +3 2u2 +3 2u3 +3 2u4 +3 2u5 +3…

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Q: If F is an antiderivative of f, then which other function is guaranteed to be an antiderivative of…

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