If cos(x) = Give exact answers. sin(2x) = cos(2.x) 11 tan(2x) (in Quadrant 3), find

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A: Sol

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A: In your answer this will be 696 place of 632

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Q: Q2: Test the convergence of the following series 1. Σ=o cos(ηπ)· η 3η+1 2. Σñ=o(−1)n+1 (n!)2 (2η)!…

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Q: What does linear independence mean with matrices in linear algebra? I don't understand the concept…

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Q: (i) (ii) Calculate (2 + i√5)(√5 - i). Hence verify that (√5 - i) is a root of the equa (2 + i√5)2 =…

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Q: Consider the following initial value problem: x" - 5x²14x = sin(8t), x(0) = 2, x' (0) = -1. Using X…

A: We will use Laplace transformation table  f't  = s Fs− f0f'' t= s2 Fs − s f0 − f0Lsinat=aa2+s2

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Q: Q18D. In what order are the vertices visited in a post-order traversal of the tree below? (Enter…

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Q: Consider the linear problem Y' (t) = XY (t) + (1 - A) cos(t) – (1 + X) sin(t), Y(0) = 1. The true…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 21: Find Maclaurim expression for the following functions 1. f(x)= sinh(x). 2. f(x)=sin(x). 3.…

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Q: est the convergence of the following series Σn=0 1 (-5)n

A: Ratio Test for Convergence: Let L=limn→∞an+1an A series ∑an converges if  L<1 and diverges if…

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Q: If R is Commutative deg (f(x) g(x)) = deg (f(x)) + deg (g(x)) F then

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A: Use m = 7 in given differential equation Then we find genral solution of thet diferential equation…

Q: X = 4 0 1 0 -3 6 1 2 -12 10 -1 = [X₁ X₂ X3 X4] 5

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Q: Find a degree 4 polynomial that approximates the solution of y'=y+x², if y=1 when x=0. a.y=1+x+ b.…

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Q: Use the division algorithm to find q (x) and r(x) such that a(x) = q (x) b(x) +r (x) with degr(x)…

A: Here the solution for q(x) and r(x) in Z7[x] are  q(x)=5x2+2x+1r(x)=6

Q: 6. Find the value (7) for a solution (x) to the initial value problem: y” + y = sec³ x; y(0) = 1,…

A: As per our guideline we are supposed to answer only first asked question.kindly repost other…

Q: Use the method of variation of parameters to determine the general solution of the given…

A: Sol:- y''' +y' =tantThe general solution to anxyn+...+a1xy'+a0xy=gx can be written asy=yc+ypyc is…

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Q: Suppose f:[a,b] → R is integrable, f(x) ≥ 0 for all X, and a f> 0. Which of the following is true?…

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Q: Determine the x-and y-coordinates of the centroid of the shaded area. 9" 6" y 3" ブ →

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Q: Determine the y-coordinate of the centroid of the shaded area shown. 12" Parabolic 5" Answer: y = i…

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Q: ght adults were asked how many different jobs they have had. Their answers are shown in the line…

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Q: t, f(t) = 2t - 1, 0, 0 < t < 1 1 < t < 2 otherwise

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Q: - Let A 222 = 3 2 1 (a) Explain why A is orthogonally diagonalizable. = (b) The vectors V₁…

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Q: Part II. Construct the Venn diagram of the following sets under the universal set U and do what is…

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Q: If sin(x) = (in Quadrant 2), find 9 10 Give exact answers. sin(2x) = cos(2x) = = tan(2x) Submit…

A: Given sinx=910   To Find: sin2x,  cos2x,  tan2x

Q: Find the value of a if the centroid of the region bounded by the parabola y² = 4px and the line x =…

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Q: Use Stokes' theorem to calculate JJ (A) nds by A = 3yi-xzi+yz²k where S is the surface of the…

A: The given vector field is: A=3yi-xzj +yz2k The surface S is the paraboloid 2z=x2+y2 bounded by z=2.…