Find the general solutions of the system. - 4 1 #1 - 1 X 0 1 x(t) 1

Q: Question 2 (a) Let p, q and r be the following propositions concerning an element n of the set {0,…

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Q: (D² -1)y=2(1-e-2x)-1/2

A: Solution: Given a differential equation D2-1y=21-e-2x-12 Now, the characteristic auxiliary equation…

Q: بال 20 S 3y م + dx dy

A: The double quintessential is maximum typically used to calculate the floor vicinity of a…

Q: Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c,where a,b…

A: We will use Sylvester law for finding dimension of range of T.

Q: The equation of a function is y = 4x + 3. A second function contains the table of values below. X y…

A: Given that the first function is y=4x+3 and the second function contains the following table of…

Q: Date Title Page No. Teacher Sign / Remarks find the smallest prime number dividing the Sum 3+ 5 ¹13

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Q: Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c,where a,b…

A: Given : T : P2 → M  defined by ;   Tp(t) = p(1)p(1)p(1)p(1)p(1)p(1) ,  where  P2 = at2+bt+c : a, b,…

Q: (a) Assume that g(x, y) is a function of the form g(x, y) = {" 0 if (x, y) = (0,0). (i) Show that…

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Q: 15 Differential equations Please help solve Thank You.

A: Solution:-

Q: Ju udv-uv- 1 [vdu to Explain why the substitutions below are inappropriate. Let dv <=x x dx 1.…

A: Here we will find how to use integration by parts

Q: Let f(x) be a function given by f(x) = (a) Prove whether f(x) is a Dirichlet function. (b) Find the…

A: given :- f(x) ={ 0                 for   -π≤x&lt;0,            {sinx          for     0≤x≤π.   a)…

Q: 1. How many grams of a drug are there in 850 ml of a 1 in 130 w/v solution ? state andwer to 3…

A: Note: according to our guidelines we can answer only first question  1)   Given solution is 850 ml…

Q: Find the consumer surplus at the equilibrium point. 29) D(x) = 5x +2; x = 0 A) $2 B) $5 C) $7 D) $0

A: Let D(x) be the demand function . Then the consumer surplus…

Q: Let f(x) be a function given by f(x)= { (a) Prove whether f(x) is a Dirichlet function. = for Tx<0,…

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Q: 3. Find the fixed point(s) of f: [1, ∞)→→ [2, ∞) defined by f(x) = √²+x.

A: 3) To find: fixed points of f:[1,∞)→[2,∞) defined as f(x)=x2+x.

Q: ]x" (t) + x (t) = 6 sin 2t "here X(0) = 3 x' (0) = 1

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Q: Find the volume of the paraboloid, z = 9 - x² - y², that lies inside the cylinder x² + y² = 4.

A: It is seen that the paraboloid and cylinder both are extended upto negetive infinity of along z…

Q: There is a function with two variables f(x,y)=exy + √x +2 (i) Find the first order Taylor…

A: As per the question w are given a bivariate function as : f(x,y) = exy + √(x+2) And we have to find…

Q: m Squares = 2 SSA = ? = ? SSB 220 1) 8 SSAB? = 30 SSE=? (Variance) MSA MSA = 80 MSB = ? F MSAB 10 F…

A: Given that, Source Degrees of freedom Sum of squares Mean square F

Q: Question 4 Let A, B and C be subsets of a universal set U. (a) Draw a labelled Venn diagram…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: (@) Let FOR^ → R be a Function given by F(x₁, x,...,xn) = x²₁².. X²...x² x², where ) > x ²₁ =1. Show…

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Q: (b) Show that the interval of convergence of the series -1/2 sest √2 2n-1x2n-1 (4n - 3)² is given by…

A: The radius of convergence of a strength collection is the radius of the best disc on the…

Q: 8. Evaluate D = 3 2 4 4 0 7 9 -2 -1 -8 -3 3 5 6 9 5 9. Check your answer in item 8 using any method.…

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Q: On the set X = (1,2,3,4) find the relation R1 which is not reflexive is symmetric, is not…

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Q: 2. The value of ¹₁ KIN [Tn (x)]² √1-x² 5 LEIN dx = ..., for each Chebyshev polynomial Tn(x), n ≥ 0.…

A: The given integral is                                    ∫-11Tn(x)21-x2dx where Tn(x) , n≥0, are…

Q: Home Furnishings has contracted to make at least 220 sofas per week, which are to be shipped to two…

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Q: 12. If the x-term is missing, then the quadratic equation cannot be used.

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: let f: R^ -> R be a function given by 2 f(x₁, x₂... x₁) x.x²2. x²n, where = € 2.1 Show that the…

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Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…

A: Linear combination is the general solution , then satisfying the initial conditions.

Q: Q2. a) Calculate the 4th roots of (5-j3)

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Q: Evaluate the integral sin(x²)dxdy.

A: This is a question from the double integral.

Q: Instructions Use the process of partial fractions to determine the inverse Laplace of the following…

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Q: Find the maximum value of the objective function z = 8x + 2y, subject to the following constraints.…

A: To find the maximum value of objective function subject to the constraints.

Q: If f(x)=x², 0<x< , find the Fourier sine series and draw a graph of the function with its periodic…

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Q: Suppose x is a normally distributed for continuous random variable with 4-10 and 6. Find value of xo…

A: First converting the variable into standard normal using z =(x-u)/σ where u is mean and σ is…

Q: •4.0.5 f Determine area the top and all side of a platform below. Note// Parallogram shape 6m -2.65m…

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Q: Find the sum of the series: n=0 (-1)"64"-2 n!

A: The given series is                                     ∑n=0∞-1n64n-2n! We know that    ex=∑n=0∞xnn!

Q: Consider the function ƒ : [-π, π] → R : x ↔ 1 + 2x + sin(2x) and extend it periodically to all of R.…

A: Solution: Given a function f:-π,π→ℝ : x↦1+2x+sin2x By Fourier Series, f(x)=a02+∑n=1∞an cosnx+bn…

Q: 2) t (y-1) dt +y(t+1)dly=0 31 хчуу! -2y =. 41 yan- x lnn dy ==

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Q: Verify Stokes' Theorem for F(x, y, z) = (y,-x, yz) and Sis 13.) the paraboloid z = x² + y², 0≤z≤1.…

A: Let S be a open surface bounded by a closed curve C and F=f1i^+f2j^+f3k^ be a continuous…

Q: 2-x Consider the integral [ff av = √₁² √²-²² √²-* [[ [* dV 0 0 S (a) Sketch the solid S. dz dy dx.

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Q: Q1/Find the Fourier series of the Function x , 0≤x≤2 .f(x) = :{ 0, 2≤x≤4

A: Given function is fx=x,  0≤x≤20,  2≤x≤4. We have to find the Fourier series of the function fx. The…

Q: Use Green's Theorem to evaluate: [F F.n ds where F =(√x + 5y, 3x + 5y) and C' is the boundary of the…

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Q: Marissa converted an RRSP balance of $125,000 into an RRIF that will pay he $1,850 at the end of…

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Q: 1. The set of functions {Po, P1, Pn) in [a, b] is called a set of orthonormal functions, with…

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Q: •+0.5+/ Determine area the top and all side of a platform below. Note// Parallogram shape 6m 2.65m…

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Q: 2. The value of ₁-² [Tn (x)]² a) b) √ EIN dx = ', for each Chebyshev polynomial Tn(x), n ≥ 0. c) 0…

A: Solution

Q: 9. Suppose f(x)=x²-14x+49 and g(x)=x-7 . At which of these points does the function y=f(x) g(x) have…

A: The hole in the graph of the function: y=f(x) is the value of x for which the function is not…

Q: Find the minimum value of the objective function z = 6x + 4y, subject to the following constraints.…

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Q: 4. Locate the centroid z of the frustum of the right-circular cone. X -R Z h

A: Consider the diagram of the frustum of right-circular cone,