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Q: (e) A = ; 10 2 (f) A represents the quadratic form g(x, y) = x² + 4xy + 4y²;

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 7x)y², y(0) = -…

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Q: Find the flow of the field F = V(x²ze) once around the ellipse C in which the plane x + y + z = 1…

A: Given the field F=∇x2zey We have to find the flow around the ellipse in which the plane x+y+z = 1…

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A: A differential equation can be solved using the variable separation method. In this method, the…

Q: Compute each of the following. (2bdm from 5.4) a) (12) (1253) b) (1423) (34) (56)(1324) c) (12)-¹

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Q: 5. Show that the set of all even permutations forms a subgroup of the symmetric group (S This group…

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Q: sing the laplace transformation table,

A: a. Given,        Lt-e-4t2sec24ttan4t

Q: Let A be a square invertible matrix. Which of the following is not true? Select one alternative: O A…

A: Since given A is invertible matrix, so det(A) is not equal to zero. It is always true. we also know…

Q: Maximize 3x₁ + x2 subject to -₁ + 2x2 ≤ 0 X₂ ≤ 4. a. Sketch the feasible region. b. Verify that the…

A: We are given the linear programming problem Maximize 3x1+x2subject to -x1+2x2≤0x2≤4 First we draw…

Q: Figure 1 shows a continuous piecewise function's graph. f(t) 3 2 1 1 2 3 4 5 Figure 1 a) Based on…

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Q: Find the flow of the field F = V(x²ze) once around the ellipse C in which the plane x + y + z = 1…

A: Let F be a vector field and C be the boundary of the surface S. The Stoke's theorem states that…

Q: Solve the following: Each question is either separable or linear: y' In|y| + x²y = 0

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Q: 2- Find D xyz dV where D is the region with -1 ≤x≤1, x ≤ y ≤ 1, above z = x, and below z = y + 2.

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Q: [1.41] Consider the problem: Minimize cx subject to Axb, x ≥ 0. Suppose that a new constraint is…

A: We are given the problem Minimize cx subject to Ax≥b,x≥0 Suppose, a new constraint is added to the…

Q: xy’ + (1+2x?)y = x3e-x2

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Q: The set of integer number is cinbounded set

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Q: [1.41] Consider the problem: Minimize cx subject to Ax ≥b, x ≥ 0. Suppose that a new constraint is…

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Q: 2 2 4 0 00 ‚ū₁ 0 -1 -3 3. Let y = Find the best approximation to y in W. Computation: and u₂ = 5 -2…

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Q: Using the Laplace transform, solve the IVP. y₁ (t) 32(t) = = y₁5y1 - 4y2 - 9t² + 2t, y2 = 10y1 - 7y2…

A: Use the following formulae, to obtain the solution.…

Q: 2y (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in…

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Q: Consider the following regression estimates (FN8) Source SS Model 71007499.5 Residual 174967111 4…

A: We have to find the total sum of squares of the dependent variable here model is dependent so we…

Q: sin21/3x cos3 2/

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Q: 24/ Answer two from the following :- 2-x - Evaluate and change the order of integration in 1 = ²*xy…

A: We have to solve the given problem.

Q: lem Set A Vernier caliper has a least count of 0.001 in. There are 25 divisions on the Vernier…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve one…

Q: Given the following matrices: 4 142 A = ---6-10-13] [8 -2] 0 - [3 4 3] 2 B = C= 152 613 D= [ -1 0 01…

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Q: If you deposit $300 now in a savings account and increase your deposits by 10% each month, how much…

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Q: Vectors to choose from: u = (-2, -12, 4), v = (3, -2, 1), w = (8, 12, -4), p = (-3, 9, -3), à = (4,…

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Q: Find the general solution of the given differential equation. x²y + xy = 4 y(x) = Give the largest…

A: This question related to general solution of ode.

Q: Find the flow of the field F = V(x² ze) once around the ellipse C in which the plane x + y + z = 1…

A: The given field is F=∇x2zey We have to find the flow around the ellipse in which the plane x+y+z =…

Q: 21. Find the work done in stretching a spring of natural length 8 cm, from 10 cm to 13 cm. Assume a…

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

Q: Elephant Company sells bags with a selling price of P10,000 per bag and a variable cost of P4,000…

A: According to our guidelines we have to answer first three subparts of a multiple subpart question.…

Q: In a computation with Euler's method, the following results. -2 -3 are obtained with various step…

A: We know estimated value contains an error when compared to true value.

Q: Find the general solution of the given differential equation. 2 dy dx +6y= 3 y(x) = Give the largest…

A: general solution =complementary solution +particular solution      so find general solution then we…

Q: k ven Wk-r [cos (+2)+i sin(+2)]; k=0,1,2,3,...n-1 k) Find the cube roots of (1+i). Express Z= e in…

A: We find the cube root of (1+i).

Q: c) y/2y=-x²y², y(1) = y'

A: We have to find the solution to the given differential equation.

Q: A car company performed an experiment to accurately describe their new vehicle's gas mileage. The…

A: Given :

Q: V Let A. B be sets Prove that AnB = if and only if A B

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Q: Find the volume and the dimensions of the largest rectangular box in the first octant with three…

A: The following figure represent the box,

Q: Figure 1 shows a continuous piecewise function's graph. f(t) 3 2 1 1 2 3 4 Figure 1 a) Based on…

A: (a) Using given figure, For t =1 to t=2 Equation of the line is, y-0 =4-02-1(t-1)⇒y =4t -t⇒f(t) =4t…

Q: f(x) = 50x6-12x5 + 100x4 - 6x³ + 22x² - 10

A: Given function is f(x)=50x6-12x5+100x4-6x3+22x2-10 Lower limit a=0 upper limit b=1 Let number of…

Q: Determine the basis that generates the following vector space by clearing the variable y: M = {(x,…

A: A basis of a vector space is the collection of vector which is linearly independent and generate the…

Q: ra²h using 8. [- Show that the volume of a cone with height h and radius a equals iterated integrals…

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Q: Given the following matrices: 30 A = --- -1 2 B 142 = - [82] [1] - [13] 1 1 -1- 152 -1 0 1 324 ] 613…

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Q: 2- Evaluate and change the order of integration f(x + y) dxdy

A: We need to evaluate and change the order of the integration. first we graph the region bounded over…

Q: 2-1 p x (p² + a²) ²²:

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Q: Using the Laplace transform, solve the IVP. 3₁(t) = Y2(t)= y₁5y1 - 4y2-9t² + 2t, y2 = 10y1 - 7y2 -…

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Q: Suppose that a₁,a2,..., a, form a basis of R" and y = ₁²₁ +2₂₂ + ... + n Anan with 2; = 0. Prove…

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Q: Solve the given differential equation. dx 4y² + 6xy dy 3y² + 2x

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Q: 2.) Consider f(x) = sin2x for xo = 0, x₁ = 0.25, x2 = 0.5, x3 = 0.75, x4 = 1.0. Calculate f2' using…

A: Given that  fx=sin2x and x0=0, x1=0.25, x2=0.5, x3=0.75, x4=1 and h=0.2, 0.02

Q: Use the graph below to answer the question below: 5 4 y = f(x) 2 What value of f(x) would make f(x)…

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