This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.

Q: 1. Solve by D operator method d?y – 2y+y = x²e 3x dy dx2 dx 2. Solve hy method

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Q: Draw a tree on 6 vertices where all but one vertex has degree 1.

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Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. а 3 (6, 2, -2), ь 3 (о,…

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Q: Reduce the quadratic form 3x2+5y2+3z2-2yz+2zx-2xy into a canonical form of the matrix.

A: Given quadratic form 3x2+5y2+3z2-2yz+2zx-2xy.

Q: Show that f(x) = is uniformly continuous by definition on the interval (-1,1) . 4 - *

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Q: 3. 2х, — х, = 2 X - 3x, + xz = -2 3x3 —х, + х, — 3х, — —6 -X, + x2

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Q: dozp abpaT of current i. The results are: 0.25 - 0.45 urrent (A) 0.75 1.25 1.5 pltage (V) - 0.6 0.7…

A: Given: Current(A) Voltage(V) 0.25 -0.45 0.75 -0.6 1.25 0.7 1.5 1.88 2 6 To find the…

Q: Reduce the quadratic form x2+y²-9xy into a canonical form of the matrix.

A: The given equation is x2+y2-9xy. The standard equation is ax2+by2+cz2+2fyz+2gzx+2hxy. The…

Q: – 13w + 2x + 6y +z = -7 Ow + 9x +4y + 3z = 4 3w + 2x – 8y -z = -5 - 2w + 3x + 2y +10z = 0 | SECTION…

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Q: 2. Determine the volume generated about y-4 the area boun ded bay ×キの x and x?ty =3 メ %3D

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Q: PART CHALLENGE Convert the equations below from polar to rectangular. rcos(0) sin(e) 2 1. r 3 2. r =…

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Q: 1arorm Let f be a function defined for t 20. Then the integral is said to be the Laplace transform…

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

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Q: Example 6.9. One entry in the following table is incorrect and y is a cubic polynomial in x. Use the…

A: y is a cubic polynomial in x. We can use difference table to solve

Q: Problem # 3 Find all the roots of the given function. Use preliminary analysis and graphing to find…

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Q: Using Legendra polynomia lsFind 9quadratic least-square approximation For cosh Cx)

A: We have , fx = coshx We know that , the quadratic approximation of  least square polynomial is given…

Q: How many terms of the series (-1)" 1 + 2" n=1 are needed to compute the sum of the series with an…

A: To find the number of term such that the error is less than 0.001 .

Q: T(E,)n T(E) = {0} and T(E,) + T,(E,) = F. %3D Show that T(E,) and T2(E2) are closed subspaces, i.e.…

A: Sol

Q: Homogeneous Linear Systems Consider the following lincar system. (1) = -2yı(t) + 2(1) 2(t) = 12y1…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: bauk_at fopllof $20,g00 kiļuin the adreed date of fayment. fu fon nall ke pre mecpanical eugineer…

A: #Since the type of interest is not mentioned , taking the interest is compounded annually  The…

Q: Incidence Matrices the Incidence matrix of the graph below. V1 v2 es ei e2 e6 V3 V4 ез e4 V5 G

A: Sol

Q: A zero coupon bond is a bond that is sold now at a discount and will pay its face value when it…

A: given face value =$ 23000 year of maturity =19 years rate of return = 3.518% claim- what should be…

Q: dx2 dx dy + 4x dx 3. Solve the Cauchy-Euler equation x2 dy + 2y = e*. 4. Evaluate L(sint dx2

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Q: Slhow that for n > 2, 1 n+1 2n k=2 Here, we write II=m ak to denote the product amam+1… an.

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Q: Find the eigenvalues A1 < A2 < Ag and associated unit eigenvectors u1, ủ2, üz of the symmetric…

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Q: 6 9| 7 4 1 3 3 6 Find the determinant of 12 6.

A: Subtract column 1 multiplied by 2 from column 2: C2​=C2​−2C1​. 3691274613=30912-1746-113 Subtract…

Q: Example 6.10. Assuming that the following values of y belong to a polynomial of degree 4, compute…

A: Please find step by step solution below:

Q: Let L be the linear transformation from R² R? given by L(x1, x2) = (2x1 - 3x2,4x1 + 4x2). (i) What…

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Q: Verify directly from (3) that the solution has derivatives of all orders in {z > 0}. Asume that h(x,…

A: Sol

Q: ent vectors are wA (5, 10) and wB = (10, 5). Solve for the market %3D

A: Sol

Q: A bacteria culture initially contains 1600 bacteria and doubles every half an hour. Find the size of…

A: Solution:

Q: Let and , be two perpendicular circles with centers at O, and O respectively. Show that the inverse…

A: Sol

Q: Example 3.32. Solve, by Relaxation method, the equations : 9x - 2y + z = 50; x + 5y – 3z = 18; - 2x…

A: We have to solve  the given equations by Relaxation method.

Q: Dr. Ng (not his real name) works part time as a fruit seller. He goes to the fruit wholesaler every…

A: 1st) Dr Ng wants to buy total 100 fruits. He have 200$ in his pocket.  Let no. Of oranges he bought=…

Q: two components. Determine the canonical variates corresponding to the nonzero canonical correlation.…

A: Sol

Q: Find an equation of the plane. the plane that passes through the point (1, 5, 1) and is…

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Q: x3 – 2x? – 5 = 0, [1,4]

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Q: The exponential growth model P=50e0.07t describes the population of a city in the Philippines in…

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Q: By considering different paths of approach, show that the function has no limit as (x,y)-(0,0). X…

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Q: orientation of the graph. n f k d. 60

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Q: 1.36 (a) Show that any set of four vectors in R2 is linearly dependent. (b) Is this true for any set…

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Q: A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the…

A: Given that,A triangle is inscribed in a parabola such that the first vertex (point A) is at the…

Q: The frog population in a small pond grows exponentially. The current population is 95 frogs, and the…

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Q: itely generated projective modules over a local ring are free. jective modules are flat, but the…

A: Sol

Q: aluating line integrals previously taught. What happens?

A: Sol

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.02t° +…

A: Given are the total sales of a company (in millions of dollars) t months from now are given by…

Q: 2.Use polar coordinate to evaluate 1 SS dA where Ris the region bounded 2 1+ x + y R by circles each…

A: Double integration by using polar coordinates

Q: sec- 1 2. у %3D| tan

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Q: d?y 2y+y = x²e3x dy 1. Solve by D operator method dx2 dx

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Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) =…

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