Prove or disprove that the set of all matrices, under the usual operations is a vector space

Q: n-1 What is the value of S4 for n=1 O 48 O 84 O 90 O 96

A: Given that an=∑n=1∞62n−1. We have to find the S4. Here, S4 is defined as follows S4=a1+a2+a3+a4

Q: Question 4 Determine the inverse Laplace Transform for the following function (answer should be in t...

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Q: Find all triples of integers (x, y, z) that satisfy x² + 2y² = z2.

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Q: [et Suppose A(t) =0 0. cos t sin t, show that A(t)-1 exists and then find it. - sin t Co t. -

A: Given- At = et000cos tsin t0-sin tcos t To Show- Show that At-1 exists and then find it.

Q: Part II Answer all questions in this part. Clearly indicate the necessary steps and explain your rea...

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Q: 1 Q1. Find the principal value of (3 + 4i)7. Show details.

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: An organization loaned $ 14,000.00 from a bank at 95 interest. They will pay a total of $ 20,300.00 ...

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Q: 2. Find the derivatives of the following functions. 4 a. f(x) = 3x³ x2 b. f(x) = (4 – x²)" C. f(x) =...

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Q: Let us define (xGR) ther wise la) Calculat the pointwise limit fem)=lm Pacn) (b) We would Like to ca...

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Q: 10 -34 Evaluate the integral and check your an= iating.

A: Given integral is ∫ 10y34 - y3 +4y dy   Note:- 1ya =y-a   and y =y12

Q: Greg makes a pan of brownies. • He takes 2/3 of the brownies to his friend’s house. • He freezes 1/4...

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Q: 1 -1 -2 If the matrix B: 2 -1 3 , then cofactor C2 = 2 2

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Q: Graph the parabola. y-(r-3)+1 Piot five points on the parabola: the vertex, two points to the left o...

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Q: 2. Given the data 0.2 0.4 0.6 f(x) 1.9934 2.1465 2.2129 2.1790 0.8 1.0 1.2 1.4 f(x) 2.0683 1.9448 1....

A: We can solve this by using given data and formula of Central difference

Q: The level curves of the function x, y)= (*0, y # 0) are: a. concentric circles with the origin at th...

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Q: How many individual simple functions make up the following composite input? 2 1 5 6 A) 4 в) 5 c) 6 D...

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Q: Qu s) Let f(r) = , and for any t> 3 consider the 3 integral I = | 2 - f(t) dt. %3D a) Find I. Is I a...

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Q: Question 55. Suppose y(x) is the solution to the given initial value problem dy (In x)s y(1) = 2 dx ...

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Q: 2) Let R be aring. An element a6 R is called a Zero divisor if there exists bER Such that a) a.b=0 a...

A: Introduction: A ring R is an algebraic structure on which two binary operations are imposed. This ar...

Q: 73.xy-z(x- y)' (19)

A: 73 Given expression is xy−zx−y2. We have to find the value of the given expression x=3, y=-2 and z=-...

Q: Rodrigo practiced playing the guitar  16 1   3  hours over the past 3 weeks. He practiced for  6 1...

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Q: EX show that 2. J능 (x)

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Q: a) Expand in fourier series the perio dic Lunchion X+2, -2<x <-I 1lk+4) = 4La), xEA and SX+2 , -2 <x...

A: Given the function is fx=x+2-2≤x≤-11-1≤x≤12-x1≤x≤2

Q: prove that C+Ã +3 = ARC Using the truth table

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Q: The difference between divergence and curl is represent vector field O true O False

A: True

Q: 1 3 4 13 -1 A = 7 -5 7 2 -12 4 5 - 8] 0. 4 - 3 - 5] | 1 - 2 B = 3 - 4 1 - 5 -1 | 0. - 51 1 C = 3 - 2...

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Q: If A = {1, 3, 5, 7), B = {2, 5), find the %3D number of relations from A to B.

A: Solution is given andi hope it will be helpful for you dear student.

Q: 8. For two sequences {an} and {b,}, let cn = E arbn-k. (Then cn is the sum of the terms on the nth d...

A: Please check the answer in the next page

Q: 1. Without directly using the calculator, compute the zero- through fourth-order approximation of v7...

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Q: power expansion of (e^x)/1-x

A: Given f(x) = ex1 - x

Q: Check 48 Use a Pythagorean triple to find the value of x. 20 x = X=

A: Given figure is

Q: Suppose that m,n are two integers such that m3-2n2=1 Does it follow that m and n are relatively prim...

A: Suppose that m, n are two integers such that m3−2n2=1. We have to check whether m and n are relative...

Q: Let a = (1,2, 3), b = (1,–-1, 2), c = (1,–2, 4). (a) Find (a x b) x c (b) Find (c. b)a – (c- a)b. (c...

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Q: 5. your answer. If they are not then supply a proof of the claim. Which of the following pairs of gr...

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Q: e which passe

A: Given that pq=xy The given equation,  

Q: Select ALL possible answers. * Which of the following is/are true of f (x) = x²(x + 3)? A. The funct...

A: A function is said to be continuous on an interval when the function is defined at all the value of ...

Q: he number of chickens and goats in a field totals 40. The total number of legs among them is 102. As...

A: Given: Total chickens and goats in field =40 Total legs = 102 Solution: Now let us assume, Number of...

Q: Given a rate of 175 pesos per hour, how many hours should you work to earn 35,962.50 pesos

A: If ∆x is the amount earned in time ∆t, then the equation for the rate of the amount earned per unit ...

Q: II. Tell whether or not the given distribution is a discrete or not. If it's not, identify what prop...

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Q: Leb usufousider the byusng differentiable of dirivative off with B-Function - Asiume that redifferen...

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Q: 9. Which of the following statements are true ? (i) If A = (x : x² = 4, x e N), B = {- 2}, then A + ...

A: Solution is given:

Q: Fine the mean number 12 31 45 67 78

A: Mean number is defined as the value calculated by dividing the sum of all the values by total number...

Q: 1-cos5h Evaluate ļim h→0 cos7h-1'

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Q: Exercise Set P.1 page(14-16) 4 In Exercises 67to 78, evaluate the variable expression for x-3, y=-2,...

A: Given the variable expression is  z-2y2-3z312 and x=3, y=-2 and z=-1

Q: Constant 2020 Dollars for select years. Year Unadjusted Federal Minimum Wage Adjusted Federal Minimu...

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Q: Let y= E a, (x – 1)" be the power series solution to n=0 у - 7у +11x3%0, у(1)— 4. Find ag. 269 a3 3 ...

A: let y=∑n=0anx-1n be the power series solution to  y'-7y+11x3=0 with initial condition y1=4 find the ...

Q: Exercise Set P.1 page(14-16) 4 In Exercises 67to 78, evaluate the variable expression for x-3, y-2, ...

A: To find- Evaluate the variable expression for x = 3, y = -2, and z = -1 2xy2z4y - z4

Q: Prove the Pigeonhole Principle - If m pigeons are assigned ton pigeonholes, where m>n, then at least...

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Q: A nut shop packages mixtures of different nuts for sale. From peanuts, cashews and almonds. The cost...

A: Let x represent number of pounds of peanuts, y represent number of pounds of  cashew and z represent...