2. Let f (x) = cos-. Show that f is NOT uniformly continuous on (0,1).

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A: Fist of all we will show that A is diagonalisable , then we will find the required transformation 

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Q: Prove that the dual to Eulerian planar graph is bipartite.

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Q: HW: State the rule of inference used in the following: 1. V→0 H →0 .:.V →H (EA F)v G i. ¬G :-(E ^ F)...

A: Rules of inference are the laws used to prove the validity of an argument through natural deduction....

Q: 2. Proofs 1. Prove the following statement. Ve 21 3d 1 V 2 d: c< 3c.

A: Note: As per our guidelines, we can not author hand written solution. Introduction: A grouping of ob...

Q: Put in slope intercept form, then give the slope and y intercept below 5x + 4y = 12

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Q: 10. 2r"(t) – 2r'(1) – 4x(t) = 2eª

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Q: Solve the following equation by using separation variable method: u(x.0) = S(x) , 4,(x.0)= g(x) 1>0 ...

A: Let the product solution be ux,t=φxht Plug in the product solution in the wave equation we get,  ∂2∂...

Q: Consider the Following matrix 1. 2 3 4 A= m. c) Find the Pollowing Funchion f A. Sin (At)

A: Here we will use the series expansion of ex and sin(x)

Q: rove the following statement. Ve >1 3d 21 Vx >d: c< 3r.

A: Introduction: A grouping of objects. The set's specific objects are referred to as its elements or m...

Q: Consider the following matrix A= 2 3 4 a) Find all the egenialues and eizenvecors

A: The solution is given as  

Q: Question3: Suppose that the n × n matrix P has an inverse. Explain for which of the following matric...

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Q: Evaluate the complex number T 6. arcsin 0.4

A: The given problem is to evaluate and simplify the given complex expression and express in rectangula...

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Q: 3. (D² + 4)y = Ost<3 3t +2 t23 y(0)=0, y'(0)=1 Find L{y} {f}T • 8(s² +4) 3e-3s 1le-3s s2 (s2 +4) s(s...

A: We know that  i) L {y} = Y(s) ii) L {y'} = sY(s) - y(0)  iii) L {y"} = s² Y(s) - sy(0) - y'(0) iv) L...

Q: 1 (i) Given that 2 Sx x 4 = show that 5x + 2y = -3. (ii) Solve the simultaneous equations 2x x 4" = ...

A: Properties of surds and indices ax x ay=ax+y a0=1 If ax=ay  then x=y (ab)c=ab x c

Q: 1+e cos where p = a(1 – e?), e is the eccentricity, and a is the semi-major axis of the ellipse. Sho...

A: Explanation Given the equation of ellipse in polar coordinates is given by r=p1+ecosϕ, where p=a(1-e...

Q: 36- 32+ 28 24 20 16- 12 4 -4 -3 -2 For the above function f( x - 7.0.65*, estimate f (x) using h = 0...

A: Derivative at point 

Q: The differential equation of a spring/mass system, vertically oriented and with no external force pr...

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Q: Represent in polar form and graph in the complex plane as 1. 1 + i 2. -4 + 4i 3. 2i, -2i 4. -5

A: Polar form of the complex number

Q: Prove the following statement. ∀c ≥ 1 ∃d ≥ 1 ∀x ≥ d : c ≤ 3x. You may assume that c, d, and x are in...

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Q: Prove the following by proof by contradiction: At least one of the 5 real numbers a, b, c, d, e is g...

A: We will use basic properties  of inequality to proof this result by contradiction 

Q: Given Z1 = 3.45 < 980° and Z2 = -5 + 9i. Solve the following: 3VZ2?, final answer in polar form. 1.

A: Please find attachment for the details solution

Q: ear differential equation, two functions y, and y2, and a pair of initial conditions are given. Firs...

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Q: This work aims to investigate the equilibria, local stability, global attractivity and the exact sol...

A: Given equation is as follows: un+1=un-1+un-1un-5un-3-un-5,  n=0, 1, ...............(10) The solution...

Q: 1 . Use the inverse Fourier sine transformation to find (x) from F, (a): -aa e ',a>0 %3D α

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Q: Determine whether these statement forms are logically equivalent. In each case, construct a truth ta...

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts...

Q: - Using the diagram AABC = AXYZ, complete the following statements with the corresponding congruent ...

A: Since you have posted multipart question and we can answer three subparts. So answered first three s...

Q: 2. Prove each of the following statements using a direct proof, a proof by contrapositive, a proof b...

A: There are many methods to prove a statement. In direct proof we assume the first part of the stateme...

Q: Find the vector equation of the tangent line to the curve given by 7(t) = sin ti + cos (2t)j + tan t...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: Suppose that K is an extension field of F with a, B,y E K Prove that if {a, B, 7} is linearly indepe...

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Q: The probability that it will rain this week is 20%. What are the odds in favor of raining this week?...

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Q: 7. y" +y' 0; y, = 1, y2 e; y(0) = -2, y'(0) = 8 8. y"- 3y' 0; y 1. y2 e; y(0) = 4, y'(0) = -2 9. " +...

A:

Q: Suppose that A is an m × n matrix and that B is an n x p matrix. (a) im(A) related?) Show that rank(...

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Q: Factor fully the polynomial 4x^4+4x^3-35x^2-36x-9

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Q: at an restaurant an appetizer costs $8.00 and an entree costs $22.If a family of 7 all order an appe...

A: Given that at an restaurant an appetizer costs $8.00 and an entree costs $22.If a family of 7 all or...

Q: 1. Graph on a number line. a) x -7

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: 6. Use the Gaussian Elimanation to write the determine conditions on the c's, if any, in order to gu...

A: Given: A system x1-x2+3x3+2x4=c1-2x1+x2+5x3+x4=c23x1-2x2-2x3+x4=-c3-4x1+3x2-x3-3x4=-c4 To find: Cond...

Q: Charlie will be cooking a whole chicken in the oven for dinner at 6:00pm. According to his recipe, t...

A: as the frozen chicken has taken to recipe, it has to under go a phase change.  thus newton law of co...

Q: 2. Proofs 1. Prove the following statement. Ve >1 3d 21 Vx > d : c< 3x.

A: Introduction: A grouping of objects. The set's specific objects are referred to as its elements or m...

Q: sin(z)+9 cos(z)–9" Find the derivative of If you need to enter an expression like sin x with STACK, ...

A: To find  The derivative of given expression. 

Q: unt that

A: In this question, the concept of Compound Interest is applied. Compound Interest Compound interest i...

Q: Represent in polar form and graph in the complex plane as 1. 1 + i 2. -4 + 4i 3. 2i, -2i 4. -5 V2 + ...

A: The given problem is to evaluate and simplify the given complex expression and represent in the pola...

Q: 25. f(x) = e sin x, g(x) e cos x 26. f(x) = 2 cos x + 3 sin x, g(x) = 3 cos x - 2 sin x %3D %3D

A: Linearly independent solution

Q: Given a linear basis v,,..,v, for a vector space V, if (v,,v, =0 for ij then the linear basis is cal...

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Q: Assume the equations for A , B , C, and D can all be written in the form y = ab'.Which function has ...

A: The exponential function: y=abt is increasing, if a&gt;1 and is decreasing, if 0&lt;a&lt;1.

Q: 10. 2x"(t) – 2r'(1) – 4x(t) = 2e"

A: Let us consider the second order linear differential equation Y''+ay'+cy=Q(x) then to solve the equa...

Q: Determine the equilibrium solution and its stability for the following linear systema. (b) -2i +31 =...

A: As per the question we are given the following second order linear dynamic system : ẋ̇1 - 2ẋ2 + x1...

Q: PLS ANSWER BOTH I WILL HELPFUL IF GOOD ANSWER

A:

Q: Given G = {V, T, S, P} be the phase-structure grammar with V = {0, 1, A, S}, T = {0, 1}, and set of ...

A: Given  Phase structure grammar  G={V, T, S, P} with V={0, 1, A, S}, T={0, 1} and set of productions ...