F(t) = for -T

Q: etermine trigonometric coefficient 2 1 2

A: Sol

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.

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A: Solution

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…

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A:

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A: We have to write the statement in words.

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A: Given f(x)=7x3-8x+4, we have to find the solution of the equation f(x)=0 using: Newton's Method…

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A: 10. For a connected planar graph, the below equation is always followed.        v - e + f = 2 Here,…

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A:

Q: Find T(t) and N(t) at the given point. r(t) = (t2 – 3)i + tj; t = 3 T(3) N(3)

A: Given r(t) = (t2-3)i + tj ; t = 3

Q: Find the values of w, x, y and z in fraction form using (a)Gauss Elimination, (b)Gauss-Jordan…

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Q: of D'? Point E(3, 3) is reflected in the line x = -2. What are the coordinates of E'? 6 Point F(8,…

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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: 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: Perform the Gram-Schmidt process on the following sequence of vectors. i = |8, -2 8 -5

A: Given sequence of vectors arex→=488, y→=-4-2-5, z→=1-15The Gram-Schmidt process on the following…

Q: b). Consider the function f(x.y)=-(x²-1) -(xy-x-1)'. ). Find the critical points of f (x, y).…

A:

Q: eration due to gravity on Earth's surface is g = 9.8 m/s². Let x be the height (in m) measured from…

A: Sol

Q: Find the arc length of the parametric curve. x = 7 cos(t), y = 7 sin(t), 24t; 0<t< T Z = L =

A:

Q: Let f(x) = { *, if x= 2 ; for the eax if x + 2 function to be continuous at x = 2 the value of a is

A:

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: -3 Given v = -6 find the coordinates for v in the subspace W spanned by -7 -4 -1 2 3 -2 1 U2 = 1 ,…

A:

Q: Let W be the subspace of R4 spanned by the vectors 1 and -1 5 1 Find the matrix A of the orthogonal…

A: *As this problem is related to Orthogonal Projection, hope you know how to find inverse of a matrix,…

Q: =- 2)? – In x = 0, [1,2]

A: Sol

Q: ди k = N k > 0

A:

Q: Q4) Find plane area inside polar function r 2 and outside polar function r = -2sine in third…

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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: Solve by D operator method dx2 d'y 20 dx +y = x2e3*.

A: We have to find the solution of given differential equations.

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: 4) Find the eigenvalues and eigenvectors of the given matrix A = =

A: We have given a matrix , A = 5-29-6 First we will find Eigenvalues of matrix. For that , consider ,…

Q: (x – 2)? – In x = 0, [1,2]

A: Sol

Q: Because simple interest is used on short-term notes, the time period is often given in days rather…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: -1 t'a o - teaz -te?? Calculote the compomonts of the "chistoffel ノ Symbol.

A:

Q: The daily cost, in dollars, to produce x gallons of handmade ice cream is C(x) = 1.3x + 11. The…

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

A:

Q: producf inner Give the definition of the complex space.

A: In this question we have to give the definition of complex inner product space.

Q: Find the number of different ways that a family of 6 can be seated around a circular table with 6…

A: Given Total members of family = 6

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: Let W be the subspace spanned by Note that this basis is not orthogon Tind the orthogonal projection…

A: We have to find the orthogonal projection of into W.

Q: 8 Given the matrix G = -4 and do =| Then do and d, are G – conjugate if di is given by

A: Conjugacy:  Let G∈ℝn×n be a symmetric and positive definite matrix. We say that the vectors x,…

Q: An Jibble is produced on an assembly line consisting of six workstations. The total work content for…

A: Total time = 22 minutes Maximum time of workstation = 6.5 minutes Operating efficiency = 120% Cycle…

Q: Show that {zn}nEN is Cauchy, where z, = sint dt. 1+t

A: Sol

Q: Find the vector in R' from point A = (5,4, –6) to B = (-6, 1, 9). AB help (vectors) %3D

A:

Q: 2. Solve for x: (6x+26)° (16x) 5. Find m21. (12r +14)° (15x-13)°

A: This question related to angles when two parallel lines cut by transversal.

Q: Q12. Let R be the region that lies between the curve y = x2/3 and the x-axis on the interval [2, 0).…

A: Given,Graph of the curve y=5x23R: Region between the given curve and x-axis.To find: a) Given…

Q: 1. Solve by D operator method dx2 d?y 20+y = x²e3x. dy dx

A:

Q: The set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for…

A:

Q: Suppose that a 2 × 2 matrix A has an eigenvalue 2 with corresponding eigenvector and an eigenvalue…

A: Eigenvalue and matrix P for diagonalization

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: 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=…

Q: The algebra teacher wrote on a blackboard a quadratic equation of the form x2-Ax +B = 0. In copying…

A: The solution is typeset in detail in the next step. Note that if B =10x+y, transposing B will give…