dx dt +2X + dy dt. +6y= 2²- 2 dx + 3x + 3 dy dt dE +8y=1

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A: Given that F→x,y=e-yi^-xe-yj^ is a force field F in moving an object from P(0,3) and (8,0).

Q: 1. Let ƒ : R³ → R5 be the function given by f(x₁, x2, X3) = (x₁ + x2 − X3, 2x1 + 2x2 − X3, 3X1 + 3x2…

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Q: 3x² +5y² = 15 2

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Q: * r(t) = (-5t + 3,3 sin(4t), 3 cos(4t)) 9. a. Compute T, N, B and K for t = 5π/12 → The torsion of a…

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Q: Evaluate the following integral using a change of variables. R y-x y + 2x + 1 4 dA, where R is the…

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Q: Z Find the mass of the solid cylinder D={(r,0,z): 0 ≤r≤5, 0≤z≤ 10) with density p(r,0,z) = 1 + ***…

A: Given, The solid cylinder D=r,θ,z: 0≤r≤5, 0≤z≤10 Density ρ(r,θ,z) = 1 + z2   We have to find the…

Q: rch Rank Page Order 172 5 C (c) u" (t) +8u' (t)+32u(t) = 32 (d) 4u"(t) + 12u' (t) +8u(t) = 8 (e) u'…

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Q: x' = -4x - y + x(x² + y²), y = x - 4y + y(x² + y²)

A: The system x'=-4x-y+x(x^2+y^2)y'=x-4y+y(x^2+y^2) has a non-trivial periodic solution.

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Q: Suppose that the following table shows the annual sales, in millions of dollars, for Advanced Auto…

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A: Newjet, Inc. manufactures inkjet printers and laser printers. The company has the capacity to make…

Q: For what values of pisthe series convergent Please answer in

A: Given,           ∑n=2∞(-1)n-1lnnpn3.

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Q: 2. Assume that p > 1. (a) For all n> 1 prove that P-1 (n + 1)P (b) Prove that is convergent. NP <…

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Q: 12. Solve for x: x-3y = 10 and 2x + y = 6 * a. 4 b. 3 c. 5 d. 6

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Q: 3. Let P₁(C) be a vector space over R with all complex polynomials of degree less than or equal to…

A: As per the policy we are solving question 3  for you. For the solution of question 4 please repost…

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Q: Be A = Rmx. Prove that (Ax). y = X. (A¹y), where X≤R",y≤R".

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Q: (a) From first principles, find To(x), the Taylor series expansion of (1-x)-¹ about x = 0. Include…

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Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

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Q: 52. Write a system of linear inequalities for the constraints. A) y22x x ≥100 y≥40 x+y≤450 B) [x2y+2…

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Q: What is the general solution of d = AY with A = [ O Y = k₁ O Y = k₁ Y = k₁ O Y = k₁ Y = k₁ [1] [ [1]…

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Q: Given F(x,y,z)= yi+x²j+z²k and C is the curve of intersection of the plane [F.dr z = 2-y and the…

A: We will use Stoke's theorem to calculate the line integral of the vector field. It is given by,…