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Q: -6, 7-2 and the angle between A and B is 100%. Determine a unit vector in the direction of C

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Q: 7. Let a, b, c and m be fixed real numbers. Let P be the parabola with equation y = x². (a) Show…

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Q: 4. Solve the non-homogeneous systems of ODEs x' = Ax+f(t), with x(a) = xa using the given matrix…

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Q: A deep sea divingbell is beinglowered ata constant rate. After 11 minutes, the bell is at adepth of…

A: We have to find the average rate of lowering per minute. For that we need to determine the change in…

Q: U₁ = Uxx - 2, 00, t> 0, 0≤x≤1.

A: Substituting u to make homogeneous boundary conditions.

Q: P(x) is a monic polynomial of degree 4 such that P(-1) = 5, P(2)=-4 and P(x) = P(-x), i.e. it is an…

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Q: (a) Using the Ratio Test, or otherwise, determine the radius of convergence of the power series nn –…

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Q: 1. Найдите первообразную функции a) y = 52+2 Vx б) y = 3 sin 1-2x 3

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Q: (b) Compute the following number Justify all of your steps. (1+000+isin). ¹76. cos

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Q: Let I be the simple, closed, anticlockwise contour whose points lie on the circle {z € C : |z + 4| =…

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Q: 6. (a) Compute the partial derivatives of the first and second order of: 5 - y³ − x³ + 147x − 45y +…

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Q: Find all the solutions of the following equation 3z +(2-1)Z = 7+i n Cartesian form. Justify all of…

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Q: V. Find the decomposition 1. v = (4, -1,0), u = (0, 1, 1). 2. v = (x, y), u = (1, -1). v = V₁ + V₁…

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Q: 14. Let f(n) = n² + 20 and g(n) = n³. Show that f(n) is O(g(n)) by finding a positive integer N for…

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Q: Calculate the cross product assuming that v × w = (2, -1, 1), u × v = (1, 1, 0), and u × w = (0, 3,…

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Q: Graph the following function and then find the specified limit. When necessary, state that the limit…

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Q: Approximate the stationary matrix S for the transition matrix P by computing powers of the…

A: Given that the transition matrix P:                                        P=0.410.590.180.82. To…

Q: dentify the following differential equation and find the solution of nitial value problem y' =…

A: introduction: The given differential equation is separable differential equation. Then we can use…

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

A: We are given the following function: f(z) = z15 sin(1/z5)  ,  0 < |z| < 10 and we need to find…

Q: 13) Find the nth term formula of a geometric sequence if the fourth term is 125 and 125 64 and the…

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Q: 2 Given f(x)=esinx In√x (a) (b) Find f'(0.8) by using 2-Point Forward Difference, 2-Point Backward…

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Q: Determine the inverse Laplace transform of G(s) = 2e-48 2 8-

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

Q: b. y"-xy'-x²y = 0

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Q: Find the Frenet (TNB) frame for the following function at the point (√√3,-1, 3π): r(t) = (2 sin (t),…

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Q: Find all the values of x such that the given series would converge. (-1)"x" 5¹ (n² + 9) n=1 The…

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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)  ,…

Q: Show: Let f and g be elliptic functions for the same lattice. (a) If f and g have the same poles,…

A: It has to be proved that (a) If f and g have the same poles and for each pole respectively the same…

Q: Solve the linear programming problem using the simplex method. Maximize P=20x₁ + 24x2 Subject to X₁…

A: The given problem is to solve the given linear programming problem for the given constraint. Given…

Q: 14) Find the nth term formula of an arithmetic sequence if the eighth term is 8 and the the 20th…

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Q: (b) Using the Root Test, or otherwise, determine the radius of convergence of the power series n³n…

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Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: Conditional probability is a measure of the probability of an event occurring given that another…

Q: Prove that sin 0 - COS 2 2 = 1 - sin 0.

A: L.H.S. =sinθ2-cosθ22R.H.S. =1-sinθ

Q: Simplify the expression if ||v|| = 7 and ||w|| = 3. (Give your answer as a whole or exact number.)…

A: We have to solve the expression using given values.

Q: Select all statements that are true. Select 2 correct answer(s) Ja, b R, (a + b)(a − b) ≥ 0. Va, b =…

A: 1) ∃ a,b ∈ R, (a+b)(a-b)≥0 . This statement is True. Take, a = 1, b = 0: then (a+b)(a-b) =…

Q: 8. Find a number o such that if 0 < x − 2| < 8,then | 3x − 1| < &,where s=0.06.

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Q: Solve by applying the simplex method to the dual problem. C=25x₁20x₂ + 25x3 +30x4 X₁ + X₂ 513 X3 X4…

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Q: Using the Residue Theorem, or otherwise, compute z-7 Sezzzzzz dz, z²+z-2 where C is the positively…

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Q: Solve the linear programming problem using the simplex method. P = 16x1 + 24x2 Maximize Subject to…

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Q: We know that y₁(x) 19 =e5 differential equation 15y" + dy' - 241y = u for x = (-∞, ∞). Use the…

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Q: How many ternary ( 0,1,2) sequences of length 10 are there without any pair of consecutive digits…

A: We need to find the number of ternary(0,1,2) sequence of length 10 are there without any pair of…

Q: 1. The Galápagos penguin is the only penguin species found north of the equator, and it is…

A: Given A=020.1250.75 x0=4040 Concept Used Use the transition matrixA and the initial state vectorx0…

Q: For convenience, we write the coefficients uj,¿ in the vector {u} = (u₁, U₂,. where l - 1 + i + (N +…

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Q: Find out the pivots of the following matrix and comment whether it is singular or not. 2 0 0 1 10 0…

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Q: (b) Using the Root Test, or otherwise, determine the radius of convergence of the power series n³n Σ…

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Q: Let W be the subspace spanned by u, and u₂. Write y as the sum of a vector in W and a vector…

A: Let,        y = w + w'     where, w ∈ W and w' is orthogonal to W.  Now, as w ∈ W and W is spanned…

Q: ) Express Log (3+4) in Cartesian form (x+iy). Justify all of your steps. 2+i

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Q: According to (3.5), for Q* to be positive, it is necessary that the expression (ad - bc) have the…

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Q: Problem 3.5 Evaluate the following determinants (use row operations to simplify the calculation).…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the maximum and minimum values of h(x, y) = xye 2-y4 2

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Q: Solve the linear programming problem to the right by applying Minimize C = 14x₁ +42x2 the simplex…

A: Objective Function: Minimize: C = 14X1 + 42X2 Subject to: 2X1 + 1X2 ≥ 12 1X1 + 1X2 ≥ 8 1X1 + 2X2 ≥…