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

Q: Draw a bipartite graph with a vertex partition into the two sets {v1, v2, V3, V4} and {v5, v6, v7}…

A: This is a problem of graph theory.

Q: 15 Identify and record the for intervals (interval notation) and points (ordered pairs -- x,y)…

A: Sol

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: w on ƏN and cos (|Du[²))ui + u(|Du|³ + 1) < –(2- :- cos (|Dw[?))wii+ w(|Dw|3 + 1) i=1 en u < w on…

A: Sol

Q: Compute: Ju. v| = 4 ||u||v|| =

A: Given u = 20, v = -21, w = 1-2

Q: Find the general solution of the given system. dx = X + y- z dt %3D dy бу dt dz = y - z dt

A: The solution is given as

Q: For any element z e Z,, let z denote 1 + , so that 2 is 0 when r is 1 and a is 1 when r is zero. Let…

A: We are given the following information. For any element x∈ℤ2, let x¯ denote 1+x, so that x¯ is 0…

Q: Describe the graph of the equation. r = (8 – 21) i + 13t j O It is a plane in 2-space through the…

A: Given: r=8-2ti+13tjWe have to describe the graph of the equation.

Q: 1. Pis a set of string of +'s and *s. f: P→P is a function defined as f(p)=*p* for any string p in…

A: (a) Let for any two string x and y in P,              f(x) = f(y)             =&gt; *x* = *y*…

Q: G || 9) List any parallel edges in G. h) List any isolated vertices in G. 1) Find the degree of each…

A: (g) e8 and e10  are parallel and e5 and e6 are parallel edges.  (h) V7 is only isolated vertex.

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: and x + Ax m. To earn full marks: • You must draw and clearly label a diagram. You must show all…

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: Solve by method of variation of parameter d?y -2 = ex sin x. dx2 dx Solve the Cauchy-Euler equation…

A: We have to solve the given differential equation be variation of parameter method.

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

A: Sol

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: -3 Given v = 9 10 find the coordinates for v in the subspace W spanned by 2 1 4 u1 = 2 U2 = and uz…

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Q: Let a (> 1) be an irrational number. Show that the kth convergent of the simple continued fraction…

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Q: higher productivity Eg G Good patch a lower productivity Average patch n Poor patch Travel time…

A: Sol

Q: +oo and inf{tn :n e N} > -∞, 11 (a) Show that if lim sn lim(sn + tn) = +o0. then (b) Show that if…

A: This question related to sequence from real analysis.

Q: If m*n Denofes -3伝 + Find the 2mn?

A: Given that m*n=2m-n2 therefore -3*5=2-3-52

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

A:

Q: of both individuals be given by log(ci)+log(c2). Suppose that the ors are wA = (5, 10) and wB = (10,…

A: Sol

Q: fn ingot of mas 118 coatains oper ting and ju thẻ patio 9:4:1: (alcuate the alve f the the prie per…

A: Total mass of Ingot = 1148 kg The ratio if weight of copper , tin and lead is 9:4:1 Therefore weight…

Q: as the center of dilation. Point A(4, -9) is translated along the rule (x, y) - (x - 8. y+ 2). What…

A:

Q: the following: ve that for all k EN and x > 0, g(k)(x) = PkC e-1/x, for some polynomials på 9k(x)…

A: Sol

Q: 5. Prove that the property of a space having an isolated point is a topological property. 6. For any…

A: Sol

Q: y = exlnx

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Q: equations, use phase flow, initial conditions, ndicate x and y nullclines and equilibria. (if…

A: Sol

Q: y = Convert the polar coordinates to rectangular: (- 3, 300°).

A:

Q: find yourself in is that you have been given 24 meters of fencing material. You must maximize the…

A: Sol

Q: An animal has an initial population of No. From that initial population count, it grew to 705…

A: For population growth we can use logistic model of growth , Where growth depend on  current…

Q: How many dierent 6 card hands can be dealt from a deck of 52 cards

A: This question related to the topic combination.

Q: LAMO)} = |" e-stf(t) dt is said to be the Laplace transform of f, provided that the integral…

A: Laplace transform of f(t) is

Q: Find A the 3rd power of the adjacency matrix for G. Then answer the questions. V1 v2 es ei e2 e6 V3…

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Q: EXAMPLE 4.4 Ans: 3 Given the following data: -1 3 y3Df(x} Approximate f(2) by using Newton's divided…

A: We approximate f(2) by using Newton's divided difference interpolation.

Q: 1. The area B is given by y? В — 3 (x, y, z) E R² | < 1, 2 = x . Assign Stokes' integral theorem for…

A: Sol

Q: Given the vertex set, edge set, and endpoint table below, graph and label the following graph. V(G)…

A:

Q: Each of the vector fields in exercises 95-98 is conservative. Evaluate each integral by first…

A: We have to find the line integral.

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

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

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Q: Determine the equation of the circle graphed below.

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

Q: direct proof: prove the following  Claim: The sum of two even integers equals an even integer…

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Q: (-1)" Fact: the series S: converges by virtue of the Alternating Series Test. n n=1 According to the…

A: Error estimation theorem is used

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

A:

Q: find the area under the standard normal curve from 0 to −1.62.

A: We want to find the area under the standard normal curve from 0 to −1.62.

Q: For the conical surface 0 = 30°,0 <0< 21,0 <r< 2, the lateral surface area is what?

A: Sol

Q: C. TRUE or FALSE The vector 2 and 3 form a subspace in R3. Justify your answer.

A: Given vectors are &lt;1,1,1&gt;,&lt;1,2,1&gt; and &lt;2,3,2&gt;. We check whether this forms a…

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: In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the…

A: