Do vectors of the form {[ ]:x*+y*+z"<1} form a subspace of ie?? please explain what 37

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Q: r(t) = (x(t), y(t), z(t)) where = - 4t? – 5t – 3 æ(t) - 5t2 + 5t + 3 y(t) = - 5t? z(t) : || Since…

A: Given a curve, rt=xt,yt,zt, where,  xt=-4t2-5t-3yt=5t2+5t+3zt=-5t2 Curvature of a curve rt, κ is…

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Q: 2. Define two ordered bases B = and E = on R³. (i) Find the vector vị of R³ whose component vector…

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Q: 1. A cylindrical tank has a base of diameter 12 ft and height 5 ft. The tank is full of water (of…

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Q: 4. Using elimination, solve the system 3 3x+4y =1 2x + 3y = 3 Give the pivot and multiplier.

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Q: Given below is a matrix A and an echelon form of A. Find bases for Col A and Nul A, and then state…

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Q: Suppose f(x) = 4x – 5. Compute each of the following. f(2 + 6) f(2) + f(6) = f(2 – 6) = f(2) – f(6)…

A: Given Function, f(x) = 4x - 5    - - eq.1 As you see when we put x in the function then right hand…

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A: If x(2x+5) is area of figure the either is length or 2x+5 is length  but 2x+5 is longer side

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Q: 3.) Let T: P2 → P4 be given by T(p) = x²p. Find the matrix for T relative to the bases B = {1,x, x²}…

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Q: 4) Consider f(x) = 4 sin x, part of which is shown. The point A has coordinates (5,4) and the point…

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Q: r(t) = (x(t), y(t), z(t)) where = -2t? + 3t + 3 æ(t) y(t) = 2t – 2 = 2t? + 5t = - z(t) || Since all…

A: Given vector rt=xt, yt, zt where xt=-2t2+3t+3yt=2t-2zt=2t2+5t We need to find the binormal vector Bt

Q: r(t) = (x(t), y(t), z(t)) where ¤(t) = y(t) z(t) = – 5t? – 4t2 – 5t – 3 5t? + 5t + 3 Since all…

A: We are given that r(t)=x(t),y(t),z(t) where x(t)=-4t2-5t-3, y(t)=5t2+5t+3, and z(t)=-5t2. Now, we…

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A: In rectangular co-ordinate system:x= 2, is a yz-plane passing through x= 2.

Q: diag(a1, ..., an) be a diagonal matrix (i.e., the matrix with the numbers a1, ..., an on the main…

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Q: -1 --[*][*]and [:] [^^] into and maps v = into 5 4 Let T: R² R² be a linear transformation that maps…

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Q: Matrix with rank A= 4 het A be a 5x6 ind cim Row A, dim Col A, dim Nul A, din Bow AT, dim Cal AT,…

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Q: 6. Let V = span{1+x²,x}. Two ordered bases for V are Si = {1+a², x} and S2 = {1+x + x², 2+ x + 2a²}.…

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Q: How do I solve this problem for linear algebra? Thanks for the help!

A: Let's start by considering the dimensions of the matrices A and ATA: A has dimensions mxn AT has…

Q: r(t) : (x(t), y(t), z(t)) where x(t) = – 2t + 3t + 3 y(t) = 2t – 2 z(t) = 2t2 + 5t Since all…

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Q: r(t) = (x(t), y(t), z(t)) where æ(t) = – 2t + 3t + 3 y(t) = 2t – 2 2t2 + 5t z(t): Since all…

A: Given that rt→=xt,yt,zt where, xt=−2t2+3t+3yt=2t−2zt=2t2+5t And also given r'''t=0,0,0 (a) We have…

Q: 9. (~Ch16 Review #13) Find the work done by the conservative vector field F(x, y) = along the curve…

A: given a conservative vector field  Fx,y=4x3y2-2xy3,2x4y-3x2y2+4y3 and a curve  rt=t+sinπt,2t+cosπt…

Q: Please solve this question with a good explanation. It is Linear Algebra question.

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Q: Please solve this problem with a good explanation. It is a linear Algebra  question Thank you.

A: (a) The given f is in V if it satisfies

Q: 12) Show that subset W of a vector space V is a subspace of V if and only if span(W) = W.

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