1. Let a = (0,3, -1) and 6 = (1,2,1). Find projão projā. 125 √60 25 A. B. C. 12 5 12 D. 125 243 E. 12

Q: Let V₁ = 0 V₂ = and let W be the subspace of R¹ spanned by V₁ and V2. (a) Convert {V1, V2} into an…

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Q: For the functions f(x)=2 and g(x)=, find the compositioni fog and simplify your answer a (+8)(x)=…

A: We have to find and its domain using given data. Concept required:1) 2) While finding domain we…

Q: Applying Four iterations of the interval halvine) method to F(t) = pct) - 40, taking the initial…

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Q: Suppose that W is a subspace of some vector space V. Let u be any vector in W and let v be a vector…

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Q: the matrix A = -5 1 3 -3 Find an invertible matrix S and a diagonal matrix D such that S-¹ AS = D.…

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Q: he question is to find the closest x,y,z for a possible answer. How would I find that?

A: Usually for an inconsistent system the closest solutions are called least square solution.For a…

Q: for what values of a does f(x,y)= ax^2+2xy+y^2 have a local minimum

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Q: Can you type your answer it is really difficult to read

A: Solve the D.E by using method for solving homogeneous equation.

Q: There exists a one-one correspondance between a   subgroups H of G and a left coset aH of H in G.

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. (^(²-1) ex dx

A: The given integral is:

Q: 2. For each of the following pairs (z', 2) of numbers in Z[i]¹, determine whether or not z' divides…

A: Definition:Let .Then, divides 2) a) Let .Then, divide  z  in

Q: You are given 4 items as {value, weightpairs in this format {{20, 5}, {60, 20}, {25, 10}, {X,…

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Q: Consider the ordered bases B a. Find the transition matrix from C to B. b. Find the coordinates of u…

A: Consider the ordered basis  and  for the vector space .a. Find the transition matrix from  to .b.…

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A: Let us solve above problem.

Q: Consider the function f(x) = 3x² + 5x log3 x + 7. Show that f(x) is 0(x²) by determining a pair of…

A: We Show that f(x) is 0 (x²) by determining a pair of witnesses that proves the big-O relation.The…

Q: Comparing apportionment methods. a. Make up an example in which the Hamilton and the Huntington-Hill…

A: Let us compare the apportionment methods.(a) An example in which the Hamilton and the…

Q: A manufacturing company makes two types of weiter Skis, a a Department Fabricating Finishing labor…

A: Let x be the number of trick ski.      y be the number of slalom ski.According to the data…

Q: Suppose that A and B are independent events such that P(B) = 0.70 and P (B)=0.20. Find P(An B) and P…

A: Given thatA and B are independent events.such that

Q: Consider the function f(x) = 2x³ − 15x² + 36x + 1 over the interval [1,4]. Which statement in below…

A: Consider the function  over the interval .Which statement is below is false ?1.  is a local maximum…

Q: Theorem. E(X) = np If X has a Binomial distribution, then Var(X) = npq mx(t) = (pe¹ + q)

A: A random variable  is defined to have binomial distribution denoted by  if the PMF of  is given by…

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

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Q: 5: Use the Comparison Theorem to determine which of the following integrals converge. (i) Š arctan x…

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Q: Maximize: Z = 5x + 2y with 3x + 2y 15 4x + y ≤ 12 x ≥ 0 and y ≥ 3 Max value, Z=

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Q: Lemma 51 [Eisenstein Criterion] Let f(x) = Σï1⁄o ª¿x² € Z[x] be nonconstant polynomial. Let p be a…

A: Suppose, if possible, that f(x) is not irreducible over Q.Then there exist non constant polynomials…

Q: Find the closest point to y in the subspace W spanned by V₁ and V₂ 2 2 - 1 y= a. 3/6 -2/6 丽··· -1/6…

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Q: Solve the given linear programming problem using the table method. The table of basic solutions is…

A: Given table is:feasible00612Yes0060-12NoNA0330Yes186006Yes90120-60NoNA4200Yes72

Q: Solve the equation y" +2y' +2y = S(t - π), y(0) = 1, y'(0)=0

A: To Find:Solve the above differential equation.

Q: 1. Find the numerical value of the divergence of D at the indicated points if: a) D = 20xy² (z +…

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Q: 1. Find the numerical value of the divergence of D at the indicated points if: b) D = 4pz sin pap +…

A: Given: in .

Q: Solve using Gauss - Jordan Elimination 3x₁ - 7x2 - 2x3 = 37 x₁ - 3x2 = 15 13 -7 -3 -2 37 23] 15 Ap)…

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Q: Use the Laplace transform to solve the given integral equation. f'(t)=1-sin(t)- ff(r)dr_f(0) = 0…

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Q: Consider the quadrilateral ABCD, Where A=(6, 0, 2), B=(5, 2, 2), C=(0, 3, -1), D=(-2, 1, 3). do not…

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Q: The solution for x³ =10(mod11) is: a) 5 b) 6 c) No solution d) 4

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Q: If A be a square matrix given by 300 02-5 then find all the 0 1 -2 eigenvalues of A viewed as…

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Q: A certain experiment produces the data (1,1.7), (2, 2.7), (3, 3.2), (4, 3.7), (5, 3.9) Describe the…

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Q: For the following relation, give the do {(i,9),(m,9),(k,9),(h,9)}.

A: The given relation is the following :Denoting the relation by  we have :We are asked to find the…

Q: A singular value decomposition of a matrix A is as follows: -0.5 0.5 0.5 -0.57 10 01 -0.5 -0.5 0.5…

A: We have to find A1 matrix and norm of A-A1 matrix And then find the rank of matrix

Q: Example 4. Find the equivalent Volterra integral equation to the following initial value problem…

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Q: In the permutation group S2021, a product of all transpositions (where each transposition occurs…

A: In the permutation group , a transposition is a permutation that swaps two elements while leaving…

Q: Find the projection of x on to Nul(A). Call this vector XNul. Find a basis for Row (A).

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Q: The velocity of a (fast) automobile on a straight highway is given by the function to the right,…

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Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A: An investment earns 6% per year and is worth $50000 after 3 years.To Find:Present value of the given…

Q: What investment would have to be made today into an account which earns interest at a rate of3.3%a…

A: We are to calculate the investment would have to be made today into an account which earns interest…

Q: In A & B, evaluate the determinant of the given matrix by inspection.

A: In A, the given matrix is a lower triangular matrix of order 4.Therefore its determinant is given by…

Q: Recall that with​ base-ten blocks: 1 long=10 units, 1 flat=10 ​longs, and 1 block=10 flats. What is…

A: To determine the fewest number of multibase blocks needed to represent a given numeral in a specific…

Q: Let 0 -1 x = 2 -2 and A = 0 3 0 -2 -4 -4 0 3 0 -2 00 -4 0 1 -1 0 1 1 00 (a) Find a basis for Nul(A).…

A: According to Q&A Guidelines, I can answer only one question . So I answered (a) .

Q: Consider the following functions. f₁(x) = x₁ f₂(x) = x², f3(x) = 2x - 3x² g(x) = c₁f₁(x) + C₂f₂(x) +…

A: The functions  o x are linearly dependent over an interval I if and only if there exists constants…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform -5s e (6³³) a.…

A: The following formula can be used to determine the inverse Laplace transform of…

Q: a) Run the following MatLab code on you computer and determine the points with maximum and minimum…

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Solve the differential equation by variation of parameters. y(x) = y" 16y= 16x 4x est

A: Variation of parameters