6. Find the transition matrix from B to B' and find the coordinate matrix [x] B¹, given the coordi- nate matrix [x] B. -[-12 B = B' = 2 [X]B = 2 [³]

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A: We will draw the region bounded and then will represent integral as dydx ( type1 ) and dxdy (type 2…

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Q: 1) Find All solutions For y = 3.0 to the Transcendental equation: sinx-ln z = X - Y + gamma x This…

A: note : we will refer the term "gamma" at the end of the  equation as the symbolical constant : γ =…

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Q: 13.9y" +12y + 4y = 0, y(0) = 2, y'(0) = -1

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Q: Use the transformation u = y - x, v = y, to evaluate the integrals on the parallelogram R which has…

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A: Given,               f(x, y)=e-x2-y2cos(xy)

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A: Given integral is ∫02 πy2 dx Here, y = 1+ x28 So, integral is ∫02 π1+ x282 dx . Take fx = π 1+ x282…

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Q: FIND THE TOTAL MASS OF THE WIRE WITH DENSITY P F(t) t²₁ + 2tĴ, p(x, y) = 8/ay, 0≤t≤l

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Q: 6. Find the transition matrix from B to B' and find the coordinate matrix [x]µ¹, given the coordi-…

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Q: 4. A particle moves along the x-axis in such a way that its position at time t for t≥0 is 1 given by…

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Q: ODE question

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Q: a) Determine the temperature of the body at any time by solving equation (2). u(t) = K

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Q: Q4 Solve the following initial value differential equation using Laplace transform: y" + 4y' + 3y =…

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Q: Identify the rule of inference or the fallacy in each of the following logical arguments. If p is a…

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Q: A body of mass m falls from the rest in a medium offering resistance proportional to the square of…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: (a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the…

A: if f is a differentiable function of x and y then function has directional derivative in the…

Q: Find a general solution to the differential equation. y''(0) + 25y(0) = sec 50 The general solution…

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Q: 3. Given the differential equation: Find approximately y(0.4). f(x, y) = n 0 1 2 3 4 Xn Yn 2xy dx…

A: The given differential equation is  2xydxx2+1-2xdx-[2-ln(x2+1)]dy=0 with initial condition y(0)=e2,…

Q: Based on your answers in (b), show that 12 1 1 2² 3² 4²

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Q: Correct. Solve the given initial value problem. ○ xy² + xy³ = 0 Oxy² = y³ = 1 0x²y² + y² = 3 Ⓒx²y² +…

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Q: Apply the ratio test to determine whether or not the series converges. (−1)n-13n 2 n² 8 n=1

A: Ratio test is used

Q: (a) Given (i) (ii) (iii) dy _ x² + y² dx 3.xy Justify if the given differential equation is…

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Q: Let F(x, y) = -o (a) + F. dr + j. Find the value of the line integral.

A: The general form of a vector-valued function in two dimensions is given by F=F1i+F2j, where F1 and…

Q: The system of differential equations is given as 1-a 1-a - [₁ i] a a-1 x': = x, where a is a…

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Q: uestion 1. Solve the initial-value problem: (4xy - y - 3y² sin x) dx + (-2x + 4x² +9y cos x)dy = 0,…

A: 4xy-y-3y2sinxdx+-2x+4x2+9ycosxdy=0; y(0)=1 A differential equation of the form Mdx+Ndy=0 called…

Q: Directions: Translate each argument into symbolic form (using the suggested letters) and determine…

A: To find- Translate each argument into symbolic form (using the suggested letters) and determine…

Q: Use the method of Frobenius to obtain two linearly independent series solutions about x_0=0 Write…

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Q: QUESTION 7. Find the number of permutations of length 9 that satisfy the following conditions: (i)…

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Q: 1/2 (sec (2 + ²/1 ) - 2 (2 + ²+ ) ) . 3-00 32 n 3. Express lim IM= as a definite integral, f(x)dz.

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Q: 1 1-x Change the order of integration and then evaluate the integral: fx dydx X Jx-1

A: We draw the graph of the limits of the integration then we change the order accordingly

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Q: Question the equation z² = Consider the surface described by √е¹-2y a) Find the equations of the…

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Q: Reversing the order of integration in the integral Sofr²ydyda equals: Select one:

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the solution of the system of differential equations d²x dt² dx dt dy +x-3=3t dt dy -x+ -3y=8…

A: we solve  this problem by ordinary method .

Q: What is the characteristic equation of the matrix  (10     -5)  (3      -2)

A: Given matrix is 10-53-2

Q: Problem 1. For the area bounded by the two curves, determine the following: a. Area b. First moment…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: 3 LL -3√√√9-x² Jo √9-x²-y² (x² + y² + z²) dz dy dx

A: