1. The quadrilateral ABCD is shown to the right. Suppose u = DC and = AD. Further suppose that BC = 3v. Write each of the following vectors as a linear combination of u and a. BD b. AB

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Q: ales for exercise equipment in a country were $1830 million in 1990 and $5108 million in 2005. Use…

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Q: Unit Step Function Solve the inital value problem. y" + 4y -Z1y = 1-3 U(t-4) y(o)=0 y²(0)=0

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Q: Solve the initial value problem. XI= [ ³3 -13] X, X (0) x(0) = [] 5 [9 cos(8t) - 9 x (t) = [5 cos…

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Q: 1. Determine the orthogonal complement of the subspace of R³ given by: V = {(x, y, z)¹ : x - y = 0}…

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Q: 5. Let V be the vector space of all continuous functions on [1,5]; that is, V = C[1,5]. -5 Let W be…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Consider the surface defined by the collection of points (x, y, z) = R³ such that 3xz5 + xy +z = 4.…

A: The solution to the above question is  by using a theorem of calculus.

Q: 2. Prove the identity 2 cos²x 1-cos²x 2 tan² x

A: We will use the following identities,  and  We are asked to prove,

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Q: In Problems 21-26 solve the given initial-value problem. 21. (x + y)² dx + (2xy + x² - 1) dy = 0,…

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Q: 4. Symbiotic Relationship: When two species, such as the rhinoceros and birds, coexist in a…

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Q: Find the surface area of the part of the plane z = 6 + 5x + 7y that lies inside the cylinder x² + y²…

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Q: Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y'…

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Q: Solve the following IVPs with starting values y(0) = 0,y′(0) = 0. Describe the long term behavior.…

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Q: Let G(u, v) = (2u + v, 5u+ 11v) be a map from the uv-plane to the xy-plane. Find the image of the…

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Q: Construct a consumption matrix for an open productive economy consisting of three sectors. Use the…

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Q: Use the appropriate form of Green's Theorem to solve each problem. Assume counterclockwise…

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Q: vo(t) = 5 10k x 100n x 400 [cos(400nt)]

A: Given:The expression Aim:Steps involved in solving the equation using the Casio ClassWiz…

Q: -2 -B-8 Let u₁= -2 and ₂ = -20 -4 If W = Span {₁, 2}, determine whether each of the following…

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Q: Use Laplace transforms to solve the integral equation y(t) - * t e ³v₁ "y(t — v) dv = 4. The first…

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Q: Recall that in part (a), we saw that the subrectangles are as follows, with A4-d 6,11 7 9 Using the…

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Q: Find the basis for the column space, the row space, and the null space of the following matrix A.…

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Q: maximize z = 5x1 + 6x2 + 4x3 s.t 4x1 + 6x2 + 2x3 ≤ 22 4x1 + 3x2 + 5x3 ≤ 25 x1,x2,x3 ≥ 0 and integer

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Q: Let S be a linear transformation from R³ to R² with associated matrix Let T be a linear…

A: Let  be a linear transformation from  to  with associated matrix .Let  be a linear transformation…

Q: ?u a u Ət ат2 for 00 u(0,t) = Ti, u(L,t) = Tz for t>0 u(x,0) = Ti for 0<x<L

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Q: ( کے Consider the initial value problem a. Form the complementary solution to the homogeneous…

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Q: 20. The following data represents measurements of the concentration of a substance in a patient's…

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Q: 2. Find the general solution for: dy a. z²²y + x¹=y=x² − 7 dr

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Q: Solve using the Laplace Transform. y" - 4y + 13y = sin(2t) y(0) = y(0) = 0

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