prove the following : a) a0=0 b) (-a)v=a(-v)=-av c) av=0 implies either a=0 or v=0

Q: Given a natural number c ∈ N. On natural numbers, the relation Rc is defined as follows: ∀ a, b ∈ N…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: 1345×5788

A: We need to find 1345×5788

Q: 5. Here is a rule to make a list of numbers: Each number is 4 less than 3 times the previous number.…

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Q: of 0.1. Using the method of bisection, approximate 5 to within an accuracy

A: Given: 53 Using the bisection method we have to approximate the root with an accuracy of 0.1.

Q: When you borrow money to buy a house or a car, you pay off the loan in monthly payments, but the…

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Q: A] Are these functions? 1. {(2,3), (-3,4), (-3,5)} 2. ((-2,4), (-3,4), (-4,4)} f(x) = 4x + 5 3. 4.…

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Q: Suppose that a, a', b, b' are positive integers satisfying a) ab' a'b = b) gcd(a, b) = gcd(a', b') =…

A: Given that a,a',b,b'are positive integers such that  ab'=a'bg.c.da,b=g.c.da',b'=1 We have to show…

Q: 30) verify that 15 a U = T₂ + solution of LA 1²+52² (ksin szt -√2 cos szt) + ce-kt du + + ku = k T₂…

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Q: 3. The iteration formula X+1=X-Rsin²x +(cosx) (sin x), where R is a positive constant, was obtained…

A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to approximate…

Q: Prove that 1-cos2x+sin2x 1+cos2x+sin2x = tan x

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Q: Figure STUV and figure WXYZ, shown below, are similar figures. * S Z W X The scale factor of figure…

A: If two polygons are similar, then it can be written that the length of the sides are proportional.

Q: how to solve the min z = 3x1+5x2 subject to  1) -3x1+4x2-2 4) x2>=2 5) 2x1 +3x2>=12 and x1 ,x2>=0

A: Given: The LP problem, Min z = 3x1+5x2 subject to -3x1+4x2≤12                        x1≤4…

Q: 8. If sugar costs $2.87 for 80 ounces, what is the cost per ounce, rounded to the nearest cent?

A: Cost for 80 ounces is $2.87

Q: Lines of levels are run from station A to station B over three different routes. The route length…

A: Given: Limit of levels of run from station A to station B over three different routes. The route…

Q: A straight line ABCD was measured as a whole and in sections. Due to variations in the accuracy of…

A: Most probable length = observation value + errrr  value

Q: o -3 - 5 ↓ 2 buy on IN A 65 US

A: We have to find out the components of the addition of the two vectors, that is, w→+v→.

Q: 2+t 10 E-1 6 < 30

A:

Q: 3.9 Suppose that the second-order system i = f(x), with a locally Lipschitz f(z) has a limit cycle.…

A: Given That :  The second order system is: x˙=f(x) with a locally Lipschitz f(x) has a limit cycle.…

Q: Ax18x36=2592

A: Given equation is A×18×36=2592. We have to find the value of A. Divide both sides by 18×36 and…

Q: Let HK ≤G and L≤ G. Show that HOLKL. Also, if L< G. prove that HL/LA KL/L. Assume that H≤K ≤G and N…

A: What is Normal Subgroup: A subgroup of a group is referred to as normal if it satisfies a certain…

Q: 6. Solve 6*+³ – 6* = 215

A: 6. To solve: 6x+3-6x=215

Q: Dimitri averaged 12.375 rebounds per game. What is 12.375 written in expanded form? How is it…

A: Given below clear explanation..   10 +2 +3*1/10 +7*1/100 + 5 * 1/1000. the number is. twelve and…

Q: Problem 3. Show that the function cos(n²x) 2n f(x) = Σ n=1 is differentiable on [0, 1] and f'(x) is…

A: Given :  f(x) = ∑n=1∞cosn2x2n To show :  f(x) is differentiable on 0, 1 and f'(x) is continuous on…

Q: Identify the dependent, independent variables, type, linearity, with its order and degree given the…

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Q: Consider the ODE u" + b(u)u' + g(u) = 0, where b and g are continuous functions, and b is positive.…

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

Q: I -5 -4 -32 1 y 51 4 3 2+ 1 2 3 4 5 х

A:

Q: Determine the behaviour of the set of 4 elements {1,-1,i,-i} under the ordinary multiplication of…

A: Given, The set of 4 elements are 1,-1,i,-i.It is to be shown that this set is group.

Q: Let f(z) be the principal branch of (z)^⅓, find f(-i)

A: What is Principal Branch: A function that chooses one branch of a multi-valued function is known as…

Q: Consider the English sentence P: "Everyone is wearing a blue shirt." The negation of P can be…

A: The negation of the quantified statement "All x are y" is "Some x are not y". So, the negation of…

Q: 2. Let B₁ be the basis 2²e², re², e² of V = span(2²e², zeª, z), and B₂ be the basis of that the map…

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Q: Suppose A is a 2 x 2 real matrix with an eigenvalue λ = 1 + 4i and corresponding eigenvector -1 + i…

A: Given: The eigenvalue is λ=1+4i and the corresponding eigenvector is v→=-1+ii. To find: The…

Q: The point P(1, 0) lies on the curve y = sin( (1) 2 (a) If Q is the point (x, sin(¹77)), find the…

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

Q: Consider the quadratic function Ga+ba in four variables, where 2 -1 -1 2 --(-:-) -1 -1 2 -1 -1 G = 2…

A: As per the question we are given a quadratic function in four variables as : (1/2)xTGx + bTx Where…

Q: Determine the equation for the graph of the following rational function. 10 LED 201 SENCHESTMENTS…

A: To Determine: The equation of the graph of the following rational function:

Q: Use the mehod of Frobenius to obtain two linearly independent series solutions about a regular…

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Q: 1. Find the G.S. and P.S. of y” = 6x, y'(0) = 2, y(0) = 1

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Q: Create a proof for the following argument, using the implication rules and replacement rules. 1. ADB…

A: To find- Create a proof for the following argument, using the implication and replacement rules. 1.…

Q: Use the Laplace transform to solve the given initial-value problem. y""+ 2y" - y'- 2y = sin(4t),…

A: To use: Laplace transform to solve the given initial-value problem. y'''+2y''-y'-2y=sin4t, y0=0,…

Q: 1. Below function is defined for one period 1 10 99 X 1 10 f(x) = { -9x + 9 - 10 ≤ x < -1 - 1<x< 1…

A: hi!Thank you for your question.As per guidelines we can solve one question at a time in case of…

Q: A force is specified by the vector F = [(-170)i + (120)j + (-80)k] N. Calculate the angles made by F…

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Q: 5. In this problem you will need to use complex number arithmetic. Assume that the equation f(x) = 0…

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Q: 22. Prove that the set = {(₁ ~ ) 1} x) | : x, y ≤ R, x² + y² = 1 = SO(2) = forms an abelian group…

A: Given: 22. SO(2)=x-yyx : x, y∈ℝ, x2+y2=1 To show: The given set is a group with respect to…

Q: se the bisection method to solve the equation x + cos x = 0. Show an appropriate graph. a. b.…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: 22 The line y = 2-2x cuts the curve 3x² - y² = 3 at the points A and B. Find the length of the line…

A: Straight line and hyperbola intersect at two points.

Q: 6. Devise a Newton algorithm for computing the fifth root of any positive real number.

A: Given : Positive real number  To Find : Algorithm of Newton method  for fifth root  NOTE : According…

Q: 8 Find the missing numbers. @ 5.6×100- € 41.28 x 10- e 191+100= C 4+0.06+0.03 b 0.88×1000 9 Draw a…

A: Disclaimer:  Since you have asked multiple question, we will solve the first question for you. If…

Q: Graphing First Order Linear D.E.'s work on problem number 2 ( y'=x^2cos(y) )on the picture please!…

A: Given below clear explanation

Q: The sequence {bn}∞n=1 is defined as b1 = 5 , b2= 13, bn = 5 bn −1 − 6 bn −2 for n ≥ 3. Prove bn…

A: 8 Given that the sequence bnn=1∞ is defined as b1=5, b2=13 and bn=5bn−1−6bn−2. We have to prove that…

Q: 1. Let the universal set be Q2 = {0, 1, 2, ..., 7}. Let A denote the odd integers in 2, and B = {0,…

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

Q: Regarding Circles, I am tasked with writing the standard form of an equation and general form of the…

A: Given is an equation of the circle in standard form as x+62+y-82=100.   To Find: The general form of…