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Q: Solve, 9 7 0 3 0 5 - 9 1 3 -8 5 3 -7 5 7 6 2 6 4 0 1 -1 9

A: We have to solve    753-7862  6101-19×-8 9 7   5 0 3   4 0 5-9 1 3.

Q: Let -27 -3 1.5 5.5 -4 6 1 -37 Use the Gram-Schmidt process to determine an orthonormal basis for the…

A: We have to determine an orthogonal basis using the Gram-Schmidt process for the subspace of ℝ4…

Q: Use the Laplace transform to solve the given initial-value problem. y" + 2y" - y'- 2y = sin(3t),…

A: Given differential equation:y'''+2y''-y'-2y=sin3t; y0=0, y'0=0 and y''0=1To find: Solution of the…

Q: Find an equation of the plane. the plane that passes through (8, 0, -1) and contains the line x = 5…

A: The equation of plane through a point and contains a line

Q: (cos 20+ jsin 20) (cos 60+ jsin 60)1" (cos 30+ jsin 30)°(cjs 1000)

A: the given expression is cos 2θ+jsin 2θ5cos 6θ+jsin 6θ10cos 3θ+jsin 3θ9cjs 10θ Using De Moivre's…

Q: A triangle is inscribed in an ellipse whose equation is 9x2 + 16y2 - 216x - 320y + 2320 = 0. One…

A: Given that,A triangle is inscribed in an ellipse whose equation is 9x2+16y2-216x-320y+2320=0One…

Q: ((V x F)(x)) u = 1 lim r-0 Tr2 F. ds, he circle of radius r in R3 centered at x lying in the plane…

A: Sol

Q: 7. Solve the linear system of differential equations for yi(t) and y2(t): 2y1 + 42. Y1+ 2y2 where…

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Q: d²x dx + 2 * + 5x = e-t sin t; dt [ = x(0) = 0 x'(0) = 1 %3D dt2

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Q: Find the perimeter and area of a trapezoid PQRS if QR = 8ft, P = 45°, S = 10 35°, and with an…

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Q: Find an orthonormal basis of the plane r1+ 6x2 – 23 = 0.

A: Solution

Q: A manufacturing process produces a critical part of the average length 110 ​millimeters, with a…

A: Given: We have given critical average length 110 with standard deviation 2. We need to calculate…

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

A:

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: Here r(t) = etcost i + etsin(t) j + et k

Q: 3. Prove that a flat surface of revolution is part of a plane, cone, or cylinder.

A: prove that a flat surface of revolution is part of plane or cone or cylinder. solution a flat…

Q: Find the following expressions if a = 3i – 5k, b =i+j-5k, and c = 4i + 9j + 3k. 1. a · b = 2. а : с…

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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: 2. Three different types of computers need varying amounts of four different types of integrated…

A:

Q: 24 Let B be a Sx5 matrix and Ca(): A-1)(X--いメ) Let W represent the solution set to the System. Yu Xu…

A: Given that B is a 5×5 matrix and CAλ=λ-1λ2-λ-6λ2+1 Also given that W is a set of solution to the…

Q: 8, Suppose a,b € Z. Prove that a = (mod 5). b (mod 10) if and only if a = b (mod 2) and a = b

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Q: Refer to the following theorem: If A is an mxn matrix with linearly independent columns, then A can…

A: Solution

Q: Which adjacency matrix could represent this graph? Select one: O A. [1 2 1 1 2 0 2 0 1 2 1 1 [ 0 1…

A: We want to find the adjacency matrix of the given graph.

Q: Solve the following equation in the complex number system. Express solutions in both polar and…

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Q: d?y 20+y = x²e3x. dy Solve by D operator method dx2 dx

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Q: Ex - 9

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Q: dx2 dx dy + 4x dx 3. Solve the Cauchy-Euler equation x2 d²y + 2y = e*. 4. Evaluate L(sint - cos t)2.…

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Q: Let FECT-2,21], foro. Prave that Max -2

A:

Q: d'y 1. Solve by D operator method dx2 dy - 2y+y = x²e 3x d?y dx Solve by method of variation of…

A:

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: Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and…

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

A:

Q: 1. Given: A= 1 B = 2 1 C = 2 1 4 4 7. 4 6. 1 6 2 4 2. D = 2. E = 6. F = 1 2. u = Evaluate if…

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

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Q: For an irreducible polynomial p(X) = 1+X + X² € F[X] consider F4 generated by p(X). Find x1, x2 E F,…

A: Sol

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

A: Given: We have to draw a tree diagram with 6 vertices with 5 vertices of degree 1.

Q: Ques uon 8) Choose |/| from the following: a. 05829 b. 0.6062 c. 0.6305 d. 0.6557 e. 0.6819 1.…

A:

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: At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is…

A: We have to find  (6.1) we have to find a model for the weight of the bacterial culture as a function…

Q: Determine the equation of the circle graphed below.

A: We have to find the equation of given circle.

Q: 2x2 + xy + 2y2 - 4 = 0

A: Follow the steps.

Q: Describe the graph of the equation. r = 2 cos t i - 9 sin t j + k O An ellipse in the plane z = 1,…

A: Equation of an ellipse and center

Q: C) lie in the parabola 16y = 160 – x². Find the maximum area of the triangle if side rtices B and C…

A: Sol

Q: EXAMPLE NO. 2 Reduce the quadratic form 3x2+5y2+3z2-2yz+2zx-2xy into a canonical form of the matrix.

A: Converting quadratic form to symmetric matrix form. Here, we have 2 variables in a quadratic…

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: 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: A ball with mass 0,15kg is thrown upward with initial velocity 20 m/s from the roof of a building…

A: Find the maximum height above the ground the ball reaches. The right model is now…

Q: - 3 - 2 Let y = u2 = Find the distance from y to the plane in R' spanned by u, and u2. - 6 u = - 5 1…

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Q: 2 wA = (5, 10) and wB ibrium consumption bundles of each individual. (10, 5). Solve for the market

A: Sol

Q: Let L be the linear transformation from R2 R? which is a reflection in the horizontal axis followed…

A: Sol

Q: Let S be the equivalence relation on {− 1, 0, 1} × {0, 1, 2, 3} defined by (a, b )S(c, d) if and…

A: Let A  = {-1,0,1}×{0,1,2,3}  i.e A=…