216 X(s) s4+5s3+15s2+45s+54 2s-9 Y(s) s(s2+10s+146) ||

Q: ar integral of the c 3 – 7D2 + 7D – 2

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Q: 2. Using the given in Example 1, solve using Gauss-Seidel Method.

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Q: A joint density function of the continuous random variables x and y is a function f(x, y) satisfying…

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Q: Make sure the vector 7 = (8,3, 1) iş a linear combination of vf = (-5, 2, 1) , v = (-1, 4, 2) and vg…

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Q: Given the power series 00 nA x(n - 1) n = 0 1. Force the Exponent "n - 1" to be "R" Ilike we did in…

A: ∑n=0∞nAnxn-1

Q: Solve the initial-value problem y"(t) – 4y'(t) + 4y(t) = 4e2t; y(0) = –1, y' (0) = –4.

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Q: Use regression to find a quadratic model for the given data. (Round the terms to four decimal…

A: Solution: Give data,

Q: -3 Au = 3 and Av = -3 3 then A(-2u – 30) = %3D

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Q: Determine whether the statement is true or false. If it is true, explain why it is true. If it is…

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Q: Example: Calculate the value of (@w/0x) at the point (x, y, z) = (2, -1,1) if:- w = x2 + y2 + z? z3…

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Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A O (Ā)ª = Ā - int A |…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Let B = {1, x, eX, xe*} be a basis for a subspace W of the space of continuous functions, and let Dx…

A:

Q: 4. An airplane uses a radio beacon transmitting from an airport to determine how far off course it…

A: We have to find how far away is the beacon, and hence the airport, at the time of the second reading…

Q: a) ] Let W = span{(1, 1, 0), (1, 0, 1), (2, 1, 1), (0, 1,-1)}. i. Is (9,0,9) in W? Justify your…

A: Please post the multiple question separately. Here I answered 1st question as per out policy.

Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

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Q: Trapezoidal Rule. Use the Trapezoidal rule to approximate the integral 2 ,2 2x dx with n = 4…

A: Trapezoidal rule for n=4

Q: Suppose S and T are balls with the same center. Show that one of them must be a subset of the other.

A: It is given that S and T are balls with same center. Let the center of the balls be a. Assume that…

Q: Prove this: -n is a integer; If 6| n then 18| n^2 +3n

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Q: . b = . Find the Find the Span(a, b)? C 3. Let a %3D %3D

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Q: 2.) Let Tv = Av represent the linear transformation T where 11 -1 2 1] 1 A Find a basis for (a) the…

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Q: R.1. Consider the relation R = {(x,y): x,y eR & x² = y*}. Prove that R is an equivalence relation on…

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Q: 1. Find the local minima and maxima for f(x, y, z)=x+y+z, subject to the constraints x? –-y² = 1,…

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Q: roblem 5: calculate: lim | sin" rdr

A: To calculate: limn→∞∫-11sinnxdx

Q: Consider the relations E9 and E12 on the set of integers defined as follows • aE9b precisely when…

A: Given relations aE9b precisely when a≡bmod 9 aE12b precisely when a≡bmod 12 where relation R=E9oE12.

Q: Determine whether following the series converges or diverges. n2 + 7n + 5 n=1

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Q: The generating function w (x, t) = (1– 2xt + t2)-1 is given. (a) Show that it satisfies the identity…

A: Note: Since problem 7 is not given which is needed to solve part b, we will solve part a. Given:…

Q: B. Remainder Theorem and Factor Theorem (Week 2) 1. Using the remainder theorem, find the remainder…

A: Given the functions as (a) 4x3-x2+2x+1÷x-5 let                px=4x3-x2+2x+1 for x=5 p5=453-52+25+1…

Q: Given the power series E (n - 3)(n + 1) A, x" n = 1 Use the technique that we covered in this lesson…

A: Given series is ∑n=1∞(n-3)(n+1)A2nxn

Q: 6. Consider the partition P = {{0}, {-1,1}, {-2,2}, {-3,3},{-4,4},...} of Z. Describe the…

A: Given the partition of Z is P=0,-1,1,-2,2,-3,3,-4,4,....

Q: I. Determine whether the infinite series is convergent or divergent. 1 9. 5t0 En=2 (Inn)" 1 1 1 + +…

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Q: r = 3 + 2cos0, r = 3+ 2sin0

A: We have to find the area of the region that lies inside both curves.

Q: Find the values of x1, x2, x3 in the system of Linear Equations 2x, – 6x, – x3 = -38 —3x, — х, + 7х,…

A: For easy understanding let x1 = ax2 = bx3 = c So the given equations are 2a-6b-c=-38  -3a-b+7c=-34…

Q: diagonalizes A, and determine P1AP (Notice that the order of the eigenvalues and corresponding…

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Q: Students in a fifth-grade class were given an exam. During the next 2 years, the same students were…

A: Given average score of a student after t months is defined by the function ft=91-16logt+1,   0≤t≤24…

Q: 2. Let a Find the Span(a)

A: Given: a=00 To find: Span(a)

Q: A tin can has a base diameter of 10 cm and a height of 10 cm. The can is initially full, but a hole…

A: We have to find how fast is the water level falling?

Q: Find all homomorphisms from Zg →Z10 , and state the kernel of each of these homorphisms.

A: We have to find all the homomorphisms from  ℤ8→ℤ10  and state the kernel of each of these…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Solution

Q: Express the solution of the initial value problem y" + 9y = g(t), y(O) = 2, v'(0) = 1 in terms of a…

A: The solution is given below

Q: Label each vertex with proper colors (or numbers) and provide the chromatic numbers of each of the…

A: Chromatic number of graph:  The chromatic number of a graph is the minimal number of colours needed…

Q: Let T: R3 → R³ be a linear transformation such that T(1, 1, 1) = (3, 0, –1), T(0, –1, 2) = (-2, 5,…

A: We want to find T(4, 2, 0)

Q: Expand f(z)=1/z(z-3) in a Laurent Series valid for the indicated annular domain: 1. 0 3

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Q: Evaluate using geometric series: E 5i(0.5)(-1

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Q: I. Determine whether the infinite series is convergent or divergent. + 00 3. E, sin nT 3 4 Σ(-1)"-1,…

A: We have to check whether given series is convergent or divergent.

Q: Given: 2a  + 5b + 3c = 2 3a + b - 2c = 3 -a + 2b + c = 1 Instruction: Identify the coefficient…

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Q: Given:    sin2θ+cosθ=0      a)  Solve the equation (show all work).  Find all solutions.   b)…

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Q: Exercise 10. Let Z be the set of integers and R be the relation on Z defined by: aRb if and only if…

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Q: R.4. Consider the relation R = {(f, g): f, g:R → R& f(2) < g(2)}. (The notation used here indicates…

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Q: What is the distance between the vertices 10101 and 01001? 3 2 1 4

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Q: State whether the statement is always true, sometimes true, or never true: "Let C be the graph of a…

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