Since we have sin(r g) sin(r) sin(y), the function sin(r) is a linear transformation.

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Q: Solve the system +2x3 +2x4 16 -4x3 -3x4 -29 x2 113 -2x2 +15x3 +12x4 +4x3 3x1 +9x4 41 -x2 X3 = ||||

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Q: X1(t) Let æ(t) = be a solution to the system of differential equations: 22(t) a; (t) -6 x1 (t) 3…

A: To solve: The given system of differential equations: x1'(t)=-6x1(t)-3x2(t)x2'(t)=2x1(t)-11x2(t)…

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Q: Prove that if a > 0, k > 1, and ak -1 is prime, then a = 2 and k is prime. %3D

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Q: The terminal point P is determined by a real-value t and lies on the unit circle with coordinates P…

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Q: (a) Find the roots of the function, f(r) = r – - 1, analytically up to 3 decimal places. (b) and…

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Q: use the exacr differentials to solve the differential equation. ydx + (x + x³y²)dy=0

A: The given differential equation is: y dx +x+x3y2dy=0 Result: A differential equation Mdx+Ndy is said…

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Q: So(by² i + x }) · dř =

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Q: a) Write down the general solution of the system Az. %3D b) Say whether or not we have lim 7(t) = 0…

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Q: For f(x) = 7x +4 and g(x) = x, find the following composite functions and state the domain of each.…

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Q: 9. Solve the following Linear Programming Problem by graphing it, and using the method of corners.…

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Q: movie club surveyed 200 high school students. The students were asked how nd whether they prefer…

A: Introduction: Calculating a percentage means determining a portion of a whole in terms of 100. A…

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Q: () - - (a + bt c+ dt) e *() -- () a (:) - (-) A d - c

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Q: C. Consider the solid formed by rotating the region R about the line y = -1. Using your sketch from…

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Q: Find the directional derivative of the function at P in the direction of v. f (x, y) = 3x – 4cy+ 9y,…

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Q: 6 dx t.

A: Here, we need to find the following expression of the integral.          I=∫0∞1-eabx6cDx2dx Here,…

Q: X = --6t-1 2 Find all points on the graph of that have either a vertical or horizontal y=- -9t +1 3…

A: Here given x=3t22-6t-1y=t33-9t+1

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A: Solve the first order differential equation, by using Separation of variables method

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Q: = 2+ 12t Let l1 : 7 = (-1, -5, –4) + t(-16,12, 20) and l2 : = -1– 9t = -5 – 15t (a) What is the…

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Q: dx + 2– + x = u(1) x(0) = x'(0) = 1 dt

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

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Q: Consider a four-state system whose Hamiltonian is given by Vo +A 0 8Vo 3V -21 0 -21 7V where Vo is a…

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Q: What is the z-transform of h(n) = ō(n) - 25(n – 1) + õ(n – 2). z- 2+z1 b. 1- 2z1 + 2z2 1- 2z1 + z?…

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Q: QUESTION 10 Which of the following assumptions is not necessary for unbiasedness of a slope…

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Q: 9. Find a basis y1 (x), y2(x) of the space of solutions to y" = y such that Y1 (0) = 1, y (0) = 0,…

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Q: Consider the solid formed by rotating the region R about the line x = 5. Using your sketch from (a)…

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Q: dx + 3t?x = x?t et3 solve by Bernoulli's dt Equation

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Q: Find the point at which the line (4, –1, 4) + t(4, 2, 3) intersects the plane 4x 5y + z = 88.

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Q: Find the value of zo so that dz = - 2ni . %3D = 9 (z – zo)(z – 15i)

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Q: Let U= {1, 2, …9} be the universal set and let A= {1, 2 , 3, 4, 5} and C= {5, 6, 7, 8, 9} and B= {1,…

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Q: Calculate L6 for f(x) = v9x + 3 over [1, 3]. (Give your answer to three decimal places.) O 273

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Q: Determine whether the following function is continuous at the given point x = 6: x2 8x + 12 - x + 6…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Find the Eigenvalue and its corresponding Eigenvector. Show your solution on a paper.

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Q: Fill in the table below. dt stuumo (e Rectangular Form Polar Form (7) ーπ 5, T,一 7 -7/3 2 2 (0,-3)…

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Q: V9-4x2 The integral of the given function f dx is x2 -V9-4x2 а. 2x Arcsin + C -V9-4x2 b. 2x 2Arcsin…

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Q: Match the differential equation with its direction field. y' = 7(x + y) - 1 -0.4- 0.2 q.2 d4 Give…

A: We first give the right option for  the direction field of given differential equation then give the…

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Q: Compute the total mass of a wire bent in a quarter circle with parametric equations: x = 5 cos t, y…

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Q: Solve Laplace's equation u 8²u dx² ™ dy² = 0, 0 0). Assume that u = 0 on the vertical surfaces at r…

A: Given the lapalace's equation ∂2u∂x2+∂2u∂y2=0                        (1) with u(0,y)=0 =u(π,y) Let…