Find the eigenvalues and eigenvectors for A = -[ 5} 11 60 -6-25

Q: dy dz = 1+ 2z-y, y(0) = 1. (a) Use the Euler's method to find the approximation of y(2) with the…

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Q: A matrix A= -12 20 -3 -4 -8 4 400 4 0 40-4 0 01 1 - 11 Find a basis for Nul A: - 8 -1 -5 -1 3…

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Q: Let A, B E Rnxn and let R[x] be the set of all polynomials in variable x with coefficients in R.…

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Q: a finite group and Z is its centre, then class equation of G is expressi o(G) o(G) = o(Z) + E…

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Q: 5. Let A be a subset of 100, that is, A C {0, 1, 2, 3, ..., 98, 99} with cardinality 10. Show that…

A: We shall use the pigeonhole principle which states that if there are n+1 items and only n boxes then…

Q: (b) It remains to show that U(n) is closed under inverse. Suppose that m € U(n) and a is the inverse…

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Q: A company produces very unusual CD's for which the variable cost is $ 15 per CD and the fixed costs…

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Q: find x, y € Z such that 2261x + 1275y = gcd(2261,1275).

A: we want to find the greatest common factor  we will use Euclid's algorithm 2261=1275×1+986 -----1)…

Q: 1-dx the Comparison Test. 4 Given that -dx converges, how do we know that We cannot compare 00 1 x³…

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Q: y+1 Z Find the acute angle between the lines 1 m n and 1, m, n are the roots of the cubic equation…

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Q: 1. Use the principle of mathematical induction to prove that 1 +r+r² + ³ + ... + pn = 11 pn+1 - r-1

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Q: 22. The sum of the measures of the interior angles on the drawing of the site plan below equals D in…

A: We know that the sum of interior angles of a polygon is ( n − 2 ) × 180°. where n is the number of…

Q: Represent the following inverse functions in table of values with the specified domain. 1. 2. 1 f¹…

A: For any function: y=f(x), the dependent variable is y and independent variable is x. The value of y…

Q: Question 2 a) Lus] Let 3-4 5 B-2 4-1 00 S be a nonsingular matrix. Then find the values of s using…

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Q: Question 2 Rewrite the product using product notation. (34) (45) (7.8) (10:11)... (4950) 51-52 Hint:…

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Q: A 5000-seat theater has tickets for sale at $27 and $40. How many tickets should be sold at each…

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Q: Chapter 2, exercise 11.6: Let G be a group that contains normal subgroups of orders 3 and 5,…

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Q: An aunt wants to make a gift of $90,000.00 to their niece's for her college education on her 21st…

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Q: Find the reference number for the following angle (in rad unit) (a) 117 (b) - 4 (c) 4 (d)6 101T

A: Reference angle is acute angle made by terminal side with x axis.  Subtract 2π from angle to bring…

Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

A: The tangent to a curve y=f(x) is horizontal when its derivative is 0 and horizontal when its…

Q: 7. The pair of equations dx dt dy dt -5x + 2xy -4y + 3xy models two coexisting species with…

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Q: Given the differential equation y" + xy = 0 and assume a solution of the form y = Choose All Correct…

A: Given differential equation is y''+xy=0 The solution is determined as shown in the next step.

Q: Question 2 ! problem dy dx Consider the initial-value =1+2x−y, y(0) = 1. (a) Use the Euler's method…

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Q: Q₁. Construct a connected graph with at least 12 vertices such that the minimal dominating set has 6…

A: Please find the attached answer

Q: Could u please explain the part b?

A: Answer-  True  explanation- look  carefully that we need these definitions- 1) Characteristic…

Q: Question 2 system: a) form; Consider the following linear (−2x₁ + 4 x₂ + 3x₂ = − 3 - 4 x₁ + 3 x ₂ −…

A: Solve the system of questions using reduced row echelon form

Q: 1. 2p-2 = ¹+¹ (mod p) p+1 2. (1.) k = 0 (mod p), whenever k = {1, 2,. ,p-1}

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Q: homomorphism If f is a of a group G into a group G'with kernel K. let a € G be such that f(a) = a' €…

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Q: Find all maximal independent sets of path Pio and C10.

A: Please find the attached answer

Q: There are two more questions pleade

A: I have to answer for part-d and part-e, so i use the previous result .

Q: how to find number of terms(n) when T1=15, D=3 and sum equals 870

A: The given problem is to find the number of terms when first term T1=15 and common difference d=3 and…

Q: 16! 237 (mod 17. 19)

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Q: 3) Let fn(x) = X-n,n] (x), for x E R. Find the pointwise limit J of (Jn)n and now that a) the…

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Q: 1. Let f(x) = { **sin²³1/x ifx #0 0 if x=0. (a) Prove that 0 is a local minimum point for f. (b)…

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Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: Area of rectangle= Base × Height Base if every rectangle us 1.  Height is 3x1/2

Q: Consider the initial-value problem: y'-4 = x³y-2, y(2)=3 Using Euler's method we have. Oy₁ =26h +3 O…

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Q: Consider the following functional where * = . 1[x] = f*cos(x(i))*(r) dr

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Q: Evaluate the value (a) sin(2) (b) tan (5) (c) sin-¹(√3/2) (d) sin-¹(sin(¹1))

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Q: 4. A tank contains 80 gal of pure water. Brine solution with 2 lb/gal of salt enters at 2 gal/min,…

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Q: Of the statements below, three are false and one is true. Find two of the false statements and give…

A: We will find counterexamples for the statements which are false.

Q: Bernoulli's equation dy dx -ye-2x = 5y³, will be reduced to a nonlinear equation by using the…

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Q: (b) Let T: R³-R¹, T(v)=(v, w) w; +(v,w₂)w, where w; = (1,-1,0) and w₂ = (0,-2,1). (i) Find the…

A: It is given that,  T : ℝ3→ℝ3 be the linear transformation defined by ; Tv = v, w1w1 + v, w2w2…

Q: A subgroup H of a group G is a normal subgroup of G if and only if, every legft coset of Hin G is a…

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Q: Limit calculations. For each real-valued function, explain whether the given limit is convergent,…

A: Limit of the rational sequence

Q: n=1 TL (4- π)¹² 2

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Q: Let f: Z-Z be defined as f(x)=x+7 if x is odd x-51 if x is even Show that is a one-to-one…

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Q: Q7. For Theorems below give an example tree T with 15 vertices. Theorem 1. If a tree T is a wounded…

A: Please find the attached answer

Q: 5. A technician suspects that one or more processors in a distributed system is not working…

A: (a) The three reports in terms of a, b, and c from the given information is, Symbol Formal logic…

Q: (b) Let G=(Z8, +) and f: GG be defined by f(x) = 2x and show that f is a homomorphism that is…

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Q: Problem 5 Compute the Fourier Transform of the following signal. Also draw the time and frequency…

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