Complete the parametric equations of the line through the point (-5,0,-2) and perpendicular to the plane -6x-3y + z = 4 r(t) = -5-6t y(t) = 23/05/2023 09:10

Q: Q.1) Consider the matrix -2 0 03 2 -5 -3 -2 6 05 15 10 0 18 8 6 26 1 The nullspace of A: Find the…

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Q: Let f(x,y)=x²y-6y²-3x². Determine the relative extrema and saddle points of f, if any.

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Q: Given the vector space (R³(R),+,.), two bases of S = {e₁,e2,e3}, eieR³, ie {1,2,3}, S'={u₁,u2,u3},…

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Q: (e) The set of all infinitely many times differential functions [0, 1] → R, i.e., so that f(n)…

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Q: y=9x3+5x, find the values of Δy and dy in each case. (a) x=2 and dx=Δx=1 (b) x=2 and dx=trianglex=…

A: We have,       y = 9x3 +5x  a) x = 2, dx = 1 b) x = 2, dx = 0.007

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Q: [20] (3) GIVEN: a>0, a constant, the solid cube, 0 ≤ x ≤ a W = •{(2,31,2) and the vector field, F =…

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Q: GIVEN: The line, L, parameterized by the path c: R → R³, given by = č(t) = (1+2t, 2+t, 3+ 2t); and…

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Q: Solve the initial value problem u(t) = □. du dt = e2u+3t, u(0) = 7

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Q: Solve using Gauss-Jordan elimination. 2x₁ + 2x2 4x₁+ 22x2 X₁ + 4x2 - 5x3 = -11 50x3 = -26 9x3 = -6 O…

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Q: 147 369 [A] = 2 5 8 and [B]= 2 5 8 369 47 fultiply the matrices as follows f. {C}T{D} (C) = 4 7

A: C=147; D=258 We have to find CTD Clearly CT=147

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Q: 1) Tabulate the problem in a simplex matrix with the objective of minimizing crude prices. (P.S. Use…

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Q: et 8- ((1, 2), (-1,-1)) and 8- ((-4, 1), (0, 2)) be bases for R², and let A-83] А we the matrix for…

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Q: For the transition matrix P= 0.5 0.5 0.6 0.4 solve the equation SP = S to find the stationary matrix…

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Q: 1A Given the vector space (R³(R),+,-), two bases of S ={e1,e2,e3}, ei=R³, i= {1,2,3}, S'={u₁,12,U3},…

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Q: Lucky Larry wins $12,000,000 in a state lottery. The standard way in which the state pays such…

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Q: .1/3 Let f(x) = x¹/3, and let T₁(x) be the nth Taylor polynomial of fcentered at a =

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Q: 1) Find the general solution for the following differential equation. 2 +²y²-7ty=-y²

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Q: The set B={1-1², -2t-t², 1-t-t²} is a basis for P₂. Find the coordinate vector of p(t)= -3-11t-2t²…

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