1 given function, F(t) = AF (H) 1 M. 3 لا -3 3 04+2 3 3 -3 -3 <+ ²0 9 15 vt

Q: If p is a point in a 3D space represented as a quaternion having he first coordinate equal to zero,…

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Q: A contract is let for $10000. It is to be completed in 4 weeks’ time, subject to a penalty of $240…

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Q: Find the solution x(t) of the initial value problem x'=Ax, A [4 1 -1 2, x(0)=[3 2]

A: Given That : x'=Ax , A=41-12 ,x0=32. To Find : Solution of xt of initial value problem.

Q: 2) Given ff dA where D is the triangular region with vertices (0,1), (1,3), and (5,1), D (a) SET UP…

A: The area of triangle from the vertices is same as the area of bunded region obtained from double…

Q: The volume wasn't correct

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Q: 2. What is the degree of f=(20x+1)(5x+1) in ℤ_5[x]? Type only the numerical value if it is defined…

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Q: 4 -x1   + 2x2  +     3x3               - x5  +  15x6 = 10 -2x1 -  3x2  +   13x3  -  3x4  -  2x5  -…

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Q: Brady's, a conventional department store, and ValueMart, a discount department store, are both…

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Q: 1. Determine whether the following sequences are convergent. If convergent, find the limit. a. b. n²…

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Q: Find all values of k for which the following matrix is singular. Please provide full explanation of…

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Q: The indicated function y₁(x) is a solution of the given differential equation. x²y" - 5xy' + 9y = 0;…

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Q: ) Evaluate √x² + y²dA where D is the region bounded by the polar curve r = 2 cos. Sketch the region.…

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Q: A telescoping series is a series in which each term an can be written as an = bn bn+1 for some…

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Q: Evaluate the triple integral I = = ≥ 0, y ≥ 0, z ≥ 0. A. I = ㅠ 20 B. I = T15 C. I = 0 E. I = 15 77…

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Q: 4) Evaluate 51/²₁ e¹²+¹ dydx 2x

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Q: If w1, w2, w3 are independent vectors, show that the differences v1 = w2 -W3 and v2 = w1 - w3 and v3…

A: A set of vectors v1, v2, v3, ……, vn is said to be linearly independent if a1v1+a2v2+a3v3+……+anvn=0…

Q: nd a matrix M such that M-¹4 (8) M = (9) r every element g € S3. Conclude that the representation is…

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Q: 41 [2₂] [4] Is a linear combination of the vectors V1, V2 and 73? Let w = 100 W= - 28 V₁ = Check All…

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Q: 5. Use the binomial theorem to prove that C(n, 0) C(n, 1) + C(n, 2) + (-1)"C(n,n) = 0. —

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Q: Solve the given system of differential equations by systematic elimination.

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Q: 8. Mortar needs to build a wall using 800 bricks. He starts on Tuesday at 8am. At the start, he…

A: Total number of brick to lay 800 At the start, he spends 1 minute to lay 1 brick for first  100…

Q: Two very large tanks A and B are each partially filled with 100 gallons of brine. Initially, 105…

A: Given: Two tanks are partially filled with 100 gallons of brine. 105 pounds and 45 pounds of salt…

Q: 1000 students were asked which modes of communication they use – email, text, or Facebook…

A: Let F denote facebook T denote text E denote email.…

Q: Let F = (7z+7x4) 7 + (3y + 2z + 2 sin(14)) 7 + (7x + 2y + 3e²¹ ) k. (a) Find curl F. curl F = (b)…

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Q: Show that if p = q + 4a (p and q are odd primes), then (p/q) = (a/q).

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Q: (a) (b) (c) Let A be an nxn matrix and cij is the corresponding cofactor of Aij. Starting from the…

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Q: 1. Find a parametric representation for the surface a) The plane through the origin that contains…

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Q: Evaluate the integral using polar coordinates. Sketch the region of integration. Explain carefully…

A: We will convert the integral into polar coordinate system by  using there  relation x=r cosθ , y=r…

Q: Exercise 1. Consider the surface parametrized by X(u, v) = (u, v, u² − v²). Let a(t) = (t,0, t²) be…

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Q: 6. Graph Theory (a) (b) Fill in the adjacency matrix associated with the graph below (Use the same…

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Q: Find the least squares approximating line for the given points and compute the corresponding least…

A: Given: x 1 2 3 4 5 f(x) 1 3 4 5 7 To find: (a) Least squares approximation for given point.…

Q: et y (t) y' (t) : 1/₂ (1) y''2 (t) : (4) (1-3²1 (4) (1-4) ,(n-1) ... y', (t) y', (t) ⠀ (n-¹) (t)

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Q: 10) Consider the following linear programming problem Max                         8X + 7Y s.t.…

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Q: Which of the sets below is EQUIVALENT to { f, l, a, v, o, r }?

A: Two sets are equivalent then number of elements in both sets are equal In the given set {f, l, a, v,…

Q: 4s-1 c. F(s)=²+5s +6 2 e. F(s) = 3s-1 1.4s²4.48s +2.94 d. f. 2s+5 S s² +1.2s+.2924 F(s)=- F(s) = 3s…

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Q: 22. Is this statement valid? If it rains, it pours. It did not pour, so it did not rain

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Q: The given figure illustrates the graph of the set of feasible points of a linear programming…

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Q: Say whether the following function is injective, surjective, bijective, or none of the above (note:…

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Q: 1. Let F be a field and F be a subfield of E. The mapping : a(f)=f(a) is called the evaluation Given…

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Q: ). Express the volume of the region in the first octant, bounded by the cylinder x² + y² = 1, below…

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Q: Find the general solution of the given of DE: y"+y = 0. (Use Maple to find m₁,m₂,m,,m₁)

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Q: 14. Apply Green's Theorem to evaluate the following integral: c )dy + شي) + a( - 1) و where C is the…

A: we have to find the line integral using greens theorem  ∫C(1-y3)dx+(x3+ey2)dy where C is the circle…

Q: 3. Let g (0, ∞) → R and for every n ≥ 1, fn: (0, ∞) → R. For every 0 < t < T < ∞, assume that g €…

A: Kindly refer to Step 2 for the solution.

Q: Is this statement valid? If gas prices go up, more people will commute. The number of commuters…

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Q: the

A: Here  It is two tailed test  And significance(α)=0.1 And degree of freedom=n-1=35-1=34 Now using t…

Q: Let (x₂) be an unbounded and increasing sequence of real numbers. Prove that x (x₂) diverges to +…

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Q: Work integrals Given the force field F, find the work required to move an object on the given…

A: Given force field is:F=x, y, zx2+y2+z2. We have to find the work required to move an object on the…

Q: Suppose f and g are right inverses of each other. Prove that f is bijective.

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Q: (a) Find bases for the four fundamental subspaces N(A), N(AT), R(A), and R(AT) of the matrix 2 2-1 0…

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Q: Find the critical points of f(x) = 2 cos (3x) + 3 cos (2x) in [-3,-1]. (Give your answer in the form…

A: Given That : A function fx=2cos3x+3cos2x in -3π , -π. To Find : Critical points .