x² + 2y² = 10 3x² - y² = 9

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A: (a) sinx=tanx1+tan2x (b) sin2x+cos2x=1, sin 2x=2sinx cosx (c) cosA+B=cosA cosB-sinA sinB

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A: Since you have posted a multiple question according to guildlines I will solve first question for…

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Q: 6. The characteristic polynomial of a 5x5 matrix is given below. Find the eigenvalues and their…

A: Given characteristic polynomial of a 5×5 matrix is λ5-17λ4+72 λ3 We have to find eigen values of the…

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Q: (b) Using the Root Test, or otherwise, determine the radius of convergence of the power series…

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Q: (b). Use the results in (a), show that n min|₁ - Psxi||²/2 = SESM i=1 min VMEVM ZERXM min ||X-ZV…

A: note : As per the instructions we will only solve part (b).   As per the question, we are asked to…

Q: U₁ = Uxx - 2, 00, t> 0, 0≤x≤1.

A: Substituting u to make homogeneous boundary conditions.

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Q: IA A. CS Scanned with Cam Interval: 0<x< 2% (a)

A: Since you have added more than one questions hence find the solution of the first one.

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A: In this question, we will find the area of the sector.

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A: Given: A vector 1 2 To Check: Whether the vector 1 2, can be written as a linear combination of the…

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A: Here, A=3137077468328491, B=45675678678978910. To Find: BA.

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Q: k.+10000y+25x10° y 25x10' with initial conditions y(0)-0 and y(0)-0. 20 5000000 106

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Q: xx' = where 2 -1 x₁ (0) = -3 7₁ = 5₁ J. I 2 03 31 0-2 6√ 7 x = = G 2 SZ 2₂ = 4₁ 3₂ + X = X₂ (0) = 1,…

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Q: 1. Evaluate. Draw a unit circle to show how you found basic quadrantal angles: cos() = sin (3) cos()…

A: (1)   Any point on the unit circle x2+y2=1 is of the form  cosθ , sinθ .          In above unit…

Q: (b) Compute the following number Justify all of your steps. 733 1 + cos +isin π 3 E

A: one needs to simplify it.

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Q: 13. Which of the following ranges for x and y would be better to show the rational function below?…

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Q: What is the difference between the measure of an arc and arc length? Explain. A. The measure of an…

A: To Explain: The difference between the measure of an arc and arc length.

Q: 21. Let f(n) = n² + 20 and g(n) = n³. (a) Show that f(n) is O(g(n)) by finding a positive integer A…

A: fn=n2+20gn=n3

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Q: 2 (²). 4 -2 -1 5 3 ). Compute all the valid products between these three matrices. E: Let A = B = 3…

A: A=2-34, B=3-201-14553, C=403 To Do:Compute the valid products between the given matrices.

Q: Вычислите интегра e2x +1 -2 dx. от

A: ∫12e2x+1exdx

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Q: 4. Find the following double integrals: (1) ff xydxdy, D is surrounded by x = 0, y = 1, y = x²(x>0)…

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Q: Find the coefficients an and bn of the Laurent series ∞ ∞ Σan(z-zo)" + [bn(z-zo)-n n=1 n=0 of the…

A: As per the question we are given the following function on complex domain : f(z) = z15 sin(1/z5)  ,…

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Q: Find the area of the region between the curves y = sin(лx/2) and y = x. Area between curves = 0

A: For given region we have to find the area.  The graph is given as:

Q: 3. Write as a sum of vectors, one in the span of and another orthoganal to 7. = [-³4] u= v=

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Q: 6. Are the volumes for the following prisms equivalent? Explain in full sente 3 in. 6 in. ✓///2 in.…

A: We need to check whether the volumes of the prisms are equivalent or not.