10. f sin x dx 25+cos²x

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Q: Problem IV Consider the Ellipsoïd E:= = {(x, y, z) € R³ | ²+¹ +2²=1}. = Question 1 Let M (ro, yo, 0)…

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Q: 15. Let A be a 4 x 5 matrix and let U be the reduced row echelon form of A. If 21 -1)

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A: Firstly annual no of burglaries rose by 50% .

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Q: Given that f(x) = 3x – 5  g(x) = 2x – 3   and h(x) = 3x2 - 8…

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Q: . (a) How many quadratic residues are in the residue set Z19? (b) Determine if 4 and 9 are quadratic…

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Q: c) x²y" + 5xy + 4y = 0, x > 0, y(1) = 5, y(1) = -9

A: To solve the following problem, we use the couchy homogeneous linear differential equations method.

Q: 3. dx/dt = x + y², dy/dt = x + 2y ranscribed Image Text: 3-dx/dt = x+y², dy/dt =x+2y (a) Determine…

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Q: 8. min 3x1 + 4x2 + 6x3 +7x4+x5 2x1x2 + x3 + 6x4 5x5 6 x1 + x2 + 2x3 + x4 + 2x5 2 3 1, 2, 3, 4, 5 2 0…

A: given system min  3x1+4x2+6x3+7x4+x5         2x1-x2+x3+6x4-5x5≥6         x1+x2+2x3+x4+2x5≥3…

Q: What is the area of the parallelogram formed by the two vectors = (1,5) and 7 = (-3,-2)?

A: We need to find the area of a parallelogram formed by the given two vectors u→=(1, 5), v→=(-3, -2)

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Q: The Euler path of the graph K₁ is h O a O b O c Od g C e К1 d (h, a, b, f, g, e, d, j, c, a) (g. f,…

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Q: 2 Find the F.T. of the following Signals (functions, "Corwet... e. f(t) = u(t) = u(t-6) Ans: a. F(W)…

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Q: d) y" - 5y" + 2y + 8y = 0, y(0) = 2, y'(0) = -1, y" (0) = -5

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Q: . (a) How many quadratic residues are in the residue set Z19? (b) Determine if 4 and 9 are quadratic…

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Q: The well-known formula for calculating the sum Sn of the positive integers from 1 to n was already…

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Q: 11. If the homogeneous solution of y"+6y'+18y = 8t³e³ sin 3t is -31 Yh=e³¹ (c, cos 3t+c₂ sin 3t),…

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Q: Using the following logic statement to construct the truth table, which answer below finishes the…

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Q: [1 0 1/3 0 1 1/3 0 0 1/3 Numerically verify that each initial state vector xo has the given…

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Q: Let's use f(z) = 2 and evaluate along two curves. Consider breaking up the contour as showed in the…

A: Given: z=x+iy The points, A0,0, B1,0 and C1,1. The paths C1:AB→BC and C2:A→C. (a.) To evaluate:…

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Q: Use the method for solving Bernoulli equations to solve the following differential equation. dy y dx…

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Q: Find the radius of convergence, R, of the series. (x - 10)" n R = 10 ∞ n = 1 I = Find the interval,…

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Q: (a) Test the convergence of the series given by (r+1)! Σ r!(er) r=1 . G C M . 2

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Solve 2xy + y = 1 with y(1) = 3

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Q: Which one of the following alternatives gives the format for the list notation of * a b с d d c b a…

A: I have given the answer in the next step. Hope you understand that

Q: 5. Find the 45th term of the pentagonal numbers {1, 4, 12, ...}. Show how you get your answer here:

A: We know, The nth pentagonal number is given by Pn = n(3n-1)/2   Here P1 = 1(3*1-1)/2 = 1 P2 =…

Q: Solve a. ff(-12xy² + 8x³y + 3)dxdy b. ³₁(-12xy² + 8x³y + 3)dxdy

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Q: 7) Two interconnected tanks are filled with brine falt water). At the first tank contains 60 liters…

A: Given that tank 1 contains 60 liters of brine and tank 2 contains 40 liters of brine and initially,…

Q: Theorem: If P is the transition matrix from a basis B' to a basis B, then P is invertible and the…

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