Show that 0.0223 is a rational number

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A: b)

Q: The circle x^2+y^2-6x-10y+k=0 does not touch or intersect the coordinate axes,and the point (1,4) is…

A: The equation of the circle is                  x2+y2-6x-10y+k=0    ...(1)whose center is C(3,5) and…

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Q: Let H be the set of polynomials (a) Give two different examples of polynomials in H. example 1: p(x)…

A: Given H is the set of polynomials  H={ p∈P3 | p(2)=0 } . Then solve the following:-

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Q: Which of the following statements are true? A. If the linear system whose augmented matrix is [A₁ A₂…

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Q: For the homogenous Fredholm integral equation (x)= a[e*** (t) dt, a non-trivial

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Q: B B a=s a = 48* A b C 1. For the triangle above, if a = 40° and a = 5, calculate the measure of the…

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Q: Separate the following differential equation and integrate to find the general solution: y²e-5y = 4x…

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Q: b Evaluate the integral below inside a sphere with its center at the origin and a radius of 5. 2 |…

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Q: Prove that the Vandermonde Matrix is invertible if and only if x1,x2,...xm are unique. DO NOT use…

A: We have to prove that the Vandermonde Matrix is invertible if and only if X1, X2,....... Xm are…

Q: Solve the ODE: (3x² + 4xy + 3) + (−15y² + 2x² + 3)y'= 0 Entry format: Write your solution equation…

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Q: Which of the following is(are) true of the function f(x) = -2x³ - 3x²? a) It is concave for x -0.5…

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Q: Let G be an Abelian group with identity e and let n be some fixed integer.Prove that the set of all…

A: Given: G be an Abelian group with identity e and n is a fixed integer.To prove: The set of all…

Q: a. Simplify: 122119 + 3(18+1³)² + i

A: We simplify the given equation.

Q: Suppose that the average number of M= (32+27t)/(2t+7) where t is the number of days on the (a) Is…

A: Given that: M=32+27t2t+7 Simplify it. M=27t+322t+7=272-1252t+7

Q: True or False: If G is a cyclic group and H≤ G, then G/H is cyclic. (a) True (b) False (c)

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Q: 4. Let f: R² → R be given by f(x, y) = x² + y² and c: R → R² be given by c(t) = (t, e¹). Then (f o…

A: Introduction:  Chain Rule: Suppose that x=g(t), y=h(t) are differentiable functions of t and z=f(x,…

Q: Part III. Write equations for the piecewise are 1 for every square. 9.

A: we need to write piecewise function from given graph

Q: Q1: Use Tayler series method to solve the initial value problem and find location error: ý = t² + y,…

A: Given information Differential Equation: y'=t2+y,    0≤t≤1 Initial condition: y0=1, Step size: h=0.5…

Q: = √(x − y) dx + 3x dy, I = where C consists of the four line segments from (1,0) to (3,0), then from…

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Q: Butter Crate Snacks sends a selection of treats in the mail each month. Sidney bought a 4month…

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Q: 3.14 Consider the companion-form matrix A = -α1 1 0 0 -α2 0 1 0 -α3 0 0 1 -α4 0 0 0

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Q: Find the value of (1-1/2^2)(1-1/3^2)(1-1/4^2)......(1-1/20^2)

A: Let Sn is the sum of given series. Concept: a2-b2=(a+b)(a-b)

Q: D. (In this problem we show any square matrix is the sum of a symmetric matrix and a skew-symmetric…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Order 8 of the following sentences so that they form a logical proof by contradiction of the…

A: Given statement :  If the sum of two integers is even then they have the same parity.  Steps for…

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A: Given that the two tangent from the origin to the circle i.e.…

Q: Root of the equation 3x=1+cosxusing aitkens method

A: The given equation is: 3x=1+cosx. We have to find the root of the given equation using Aitken's…

Q: Lo [x₂ (1)] and [x(t) = (x² (t) + x² (t) + x² (t)”ª . . Then any solution of the first order system…

A: GIven that    A=-2100-2100-2   and  X(t)=X1(t)X2(t)X3(t)Since we can see that A is upper triangular…

Q: If there is a real number in the denominator of a fraction is the whole number real?

A: If there is a real number in the denominator of a fraction is the whole number real?

Q: Mark all of the sequences that are bounded. L√ns, {In(n)}1 {cos(n)}1 n 1 [n+ 1 √n=1\ n=1 O {e"}_1

A: I have solved the question. Please go through that.

Q: Determine if the following alternating series below determine the type of its convergence. (Choose…

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Q: Corey's age is 12 years less than 2 times Sam's age. The sum of their ages is 52 years. Which of the…

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Q: Separate the following differential equation and integrate to find the general solution: 2x¹ 7y' =…

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Q: The graph shows the percentage of high school seniors who used alcohol or marijuana during the 30…

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Q: If a line is drawn through a fixed point P(?,?)  to cut the circle x\power{2}+y\power{2}=a\power{2}…

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Q: Let T: V→U and S: U→W be linear transformations.(a) Prove that ker(T) is contained in ker(S ∘ T).(b)…

A: Given: T : V→U and S : U→W are linear transformations. Prove that:  (a) kerT is contained in kerS∘T.…

Q: 5. (A Comparison Principle) Assume that a € (0, ∞) and 3 € R. Let {n}n=0; {Yn}n=0₂ and {n}ao be…

A: The given sequences are, x0≤y0≤z0 and  xn+1≤αxn+βyn+1=αyn+βzn+1≥αzn+β,  n=0,1,2,... To Show:…

Q: Use the extended Euclidean algorithm to find the greatest common divisor of the given numbers and…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: span Exercise 4G. Let A be an n x n matrix with linearly independent columns. Explain why the…

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Q: Verify Stokes' theorem [F. dr = [₁ V x F. VXF ndS where F = (yz, -xz, cy), S is the part of the…

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Q: Whats the fundamental counting principle of this problem?

A: Given that: Total number of females = 5 Total number of males = 1

Q: 1. Show that (p⇒r) ^ (q→r) = (pv q) →r by making a truth table. 2. Verify one of De Morgan's Laws by…

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Q: #6.) Let f(x,y) = 9x² + y², Sketch the following: a The level curves for f of values C=0,1.9. b. The…

A: As you asked multiple subpart questions so I solve only the first three subpart of the…

Q: 2. Find the radius of convergence for the power series and graph the region of convergence. (2+2)" Σ…

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Q: Let f(x, y, z) = xy + e² and g(x, y, z) = y² sinz. Compute (a) D(fg)(0, 1, T). (b) D()(0, 1,5).

A: Given that fx,y,z=xy+ez and gx,y,z=y2sinz. We know that if f:ℝ3→ℝ is a function, then…

Q: Let G be an undirected loop-free graph that is isomorphic to its complement and has 12 vertices. How…

A: Introduction: If we are given two simple graphs, G and H. Graphs G and H are isomorphic if there is…

Q: Let F be a finite extension of Q. Prove that there are only a finitenumber of roots of unity in F.

A: Given: F is a finite extension of ℚ.To prove: There are only a finite number of roots of unity in F.

Q: The reduced row echelon form of the matrix A - (a) Null space basis: ΓΟ Ο Find a basis for the null…

A: Here, we will find  (a) Basis of null space of A (b) Nullity= dimension of null space of A

Q: (sin 0-2rCOS²0) dr + rcos0 (2rsin0 + 1)d0 = 0

A: