3 s2+2s-15 2s+5 s2+2s-13 | 3 s2+2s-15 53+6s+9 (s-1)(s-2)(s+4) 52+2s-3

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Q: Find the general solution of æ²p+ y²q = (x + y)z.

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A: Since α ∈ F, x- α ∈ F[x]. Also f(x) ∈ F[x].

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A: We will solve the given differential equation using substitution and initial value .

Q: LAB code ta and 5000, th ent t

A: The MATLAB code is given below:  

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Q: Find the row and column ranks of the following matrix 1 3 2 1 2 -5 1 2 0. 1 -2 1 1 -2 2 2- 3 2 1 5 8...

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Q: Solve using an integral cos²(x) + 2cos²( cos³(x) .dx

A: Evaluation of the integral

Q: Matrix B:

A: Given two matrix A and B  ,we have to find the value of A-B.

Q: 10. Fill in the blanks A 50 gallon storage tank initially holds a saltwater solution containing 100 ...

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A: Given- If px is the total value of production when there are x workers in a plant, then the average ...

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A: The numbers used for the counting are called natural numbers. In this case, the number of doors of J...

Q: Maximize: P=12xj +10x2 subject to: 5x1 +3x2 <15 X1 +x2 54 x 2 0, x2 2 0

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Q: Let T E L(F<") such that T( for any z, w E F. (a) Find all the eigenvalues of T and their correspond...

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Q: Exercise 0.1.1 The trough shown in the image below is constructed by fastening together three slabs ...

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Q: Please answer this mathematics question very clearly with all steps and explanations, thanks in adva...

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Q: hird question: Using the simplex method, find the solution to the

A: Given,       Max.(Z)=42x1+7x2subject to constraint:           3x1+4x2≤12           5x1+3x2≤15and    ...

Q: (A v B) -> ~C CvD ~В -> А А -> D

A: Rules of Inference

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Q: Consider a, B = 0. A possible graphical representation for the equation plane ax = By is: A) B)

A: Given  α,β≠0.we have to find the graphical representation for the equation plane.αx=βy

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A: given   g(x) = (3h(x)+4)^(1/2) h'(1) = 4 , h(1) = 7 , determine g'(x) = ?

Q: COMPLEX NUMBERS Find the roots. Kindly show the step-by-step solution. Thank you! GIVEN: z5 = 4i

A: Roots complex number

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A: We can solve this using trapezoidal rule

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Q: u+ 4 dy 5. If y = and u = Vx + x find when x = 4. dx u- 1

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Q: In what direction from the point (1,-1) is the instantaneous rate of change of 22 f(x,y) = 3x* – 10x...

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Q: Find the area of the surface obtained by rotating the curve y? = 4x + 4, 0 <x s 8, about che x-axis.

A: We have to find the area of the surface obtained by rotating the curve y2=4x+4, 0≤x≤8 about the x-ax...

Q: and W Consider the subspaces V = {(x. v. Z. w) : 6x = w, y = 3z} ((x, y, z, w): y-4z + 2w = 0} of ve...

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Q: Let

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Q: 10. Fill in the blanks A 50 gallon storage tank initially holds a saltwater solution containing 100 ...

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Q: Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p and...

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Q: Determine the area bounded by the conic sections y = x² – 6² and y = 6² – 2². O 576 O 183 O 281 O Th...

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Q: Q. Sketch the given region and then evaluate appropriately xy şdydx 1+ x2 + y (i)

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular ...

Q: sin x cos x 1 - sin x 2 sin x 2 cos x Зcos x -1

A: Here given D=sinxcosx1-sin x2sinx2cosx3cosx-1

Q: press each statement in “if-then” form.   1.     Every multiple of 4 is a multiple of 2. 2.     W...

A: Given statements 1.     Every multiple of 4 is a multiple of 2. 2.     When a – b is a positive numb...

Q: 1. Solve: ye*) dx + (xe*y+ 2y) dy = 0. %3D 2. Solve: (1+ x²) +y = etanx ty3e" dx %3D 3. Solve: p(p +...

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Q: Solv

A: Given: - The differential equation is, To solve: - The solution of the given differential equation ...

Q: (4) Consider the following set: S = {(x, y, z) E R' | xy + yz + x =-2}. (a) Show that S is a surface...

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Q: (a) sigma notation. You may use the following fact: Find the Taylor series of In(x) about a for a > ...

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Q: Determine if f is differentiable at x = 0 0 given that X. 4 cos 2. G), if – 2 0, x + 1. (x – 1)6'

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Q: 1. Evaluate the following integrals: a) dx 17 + x2 b) . dx xV5x2 – 4

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Q: Consider T E L(V). (a) Suppose U is a subspace of V invariant under T. Prove that U is also invarian...

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