Let S {a+bila, b E N}. Prove that S is countable

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Q: Joe has 6 favorite baseball teams, and he put their flags on his flagpole in random order. How many…

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A: The given problem is to find the same flux of the vector field over the given surface S where S is…

Q: ∫ x^2√18-x^2 dx

A: The given problem is to evaluate the given integral of x2√(18-x2) dx.

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Q: -) = te' +Tf(t-1)dt -tsin(t) f(t)=sin(t)-- the t²e¹ 3te¹ f(t)=- + 4 4 f(t)=sin(t) + cos(t) 4t f(t)=…

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Q: Show that for every integer n, n³ + 2 is not divisible by 4.

A: Here, we use rules of divisibility.

Q: 6. Sketch the curve r=3cos0+2. Find the points at which the curve has a horizontal tangent line.

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Q: The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the…

A: Total number of Tiles =100 Number of Tiles with point value equal to 1 =12+9+9+6+4+8+6+4+6+4+9=77…

Q: -6 4 2 -2 12. Consider the symmetric matrix A = Construct the spec- 4 -2 -3 tral decomposition of A.…

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Q: If w In(4) cos(2yz - 3), x = log(t), y = 4et² and z = sin(t3-1). Find d

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Q: I Solve the following differential equations 1. ·[ 24 in 5 + 5 siny] dy :| 3 siny] dy + 3y²dx x² +…

A: Given: 2yln5xx+3+3sinydy+3y2dxx2+3x=0. We have to solve the given differential equation.

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Q: For integer n ≥ 1 let P(n) be the predicate that 9 - CEZ. For the induction hypothesis, consider k ≥…

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Q: 1. (i) Obtain the differential equation for the family of curves of ellipse centered at the origin…

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Q: Consider the function F(K, L) = KBL¹-8. Which of the following is/are correctly defined? A. FK (K,…

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Q: X*(2)^n=Y Here X=100 Y=10^12 Therefore, 100* (2)^n=10^12 Where n is the number of required cycles.…

A: Given X×2n = Y Y = 1012 X = 100

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Q: Find the intervals on which the function is increasing or decreasing. f(x) = 2x³-6x²2-48x + 12 List…

A: The given function is: fx=2x3-6x2-48x+12. To Find: The intervals on which the function is increasing…

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Q: 4. Apply the Laplace transform to solve for the given P:V:I a) yiv − 4y′′′ + 6y′′ − 4y′ + y = 0,…

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Q: X D-12 = Z Consider the transformation Ty #¹] x + 2y + 3z + 2y - 3x + z • (a) Determine if T is a…

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Q: Obtain the particular solution. (EXACT EQUATIONS) 3. 3y(x²-1)dx + (x³ + 8y − 3x)dy = 0, when x = 0…

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Q: Denton Plano Mesquite Arlington Plano 54 Mesquite 52 38 Arlington Denton 19 53 43

A: Solution

Q: Find all Singular points of the given differential equation then classify as Irregular Singular…

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Q: -0.5 3 3 D y = x(x − 3)(x − 1)² 0.5 1.5 2 2.5 3.4

A: As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: Consider the linear system 2 0 -1] B: 10-4 -2 1 = -1 0 2 X3. 2 (a) Using the starting vector x(0) =…

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Q: n(n+1)(2n+1) 6 In the proof that the sum of the first n squares is we showed P(0) and then P(k) ⇒…

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Q: For any n ≥ 1 let P(n) be the predicate that AnU₁₂₁²_₁ B₂ = U₂₁ (An B₂). i=1 Suppose we're in the…

A: answer: TRUE

Q: (ILO 1) Determine the root of the equation x-e-x-1= 0, using: a. Graphical Method (Spis) b.…

A: Given equation is x-e-x-1=0. To Find : a) Root of the given equation using Graphical Method . b)…

Q: Given h(x) = 2x² + 10x - 48. a) determine its y-intercept. b) determine its x-intercept(s) using the…

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Q: Utilizing 0.0001: a Maclaurin series, evaluate the integral to an accuracy of 0.2 x ex - X -dx

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Q: Consider the following equation: 1. 2. 3. xy"+y' - xy = 0 Find its ordinary and singular points if…

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Q: Find the Laplace transform of the following functions. (3t 1, 0≤ t < 2 2, 2 ≤ t ≤ 4 -t, t≤ 4 11.…

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Q: 4. Use the definition to show that {e "a is a Cauchy sequence. n=1 5. Suppose that a₁ = 1 and an =…

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Q: Differentiate equal and equivalent, finite and infinite, denumerable and non-denumerable, countable…

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Q: Determine whether each of the following series are absolutely convergent, conditionally convergent,…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: #r.. F-n do of the field F-(x-3xy³) + (x²-xy²2) + (xyz²+ 2xz) & outwards through the surface of the…

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Q: Find the open intervals on which the function is concave upward or concave downward, and find the…

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Q: -(8-6D) 3 13. Consider the subspace W = span in R¹. (a) Find a basis 8 = (₁, ₂) of the orthogonal…

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Q: Consider the implicitly defined function. y³ + x²y = 1 + 2x Which of the following will lead you to…

A: We have to differentiate given function with respect to x.

Q: II. Do as instructed in the following. (A.) G b d (f) 9 1. Give the order and size of G 2. Construct…

A: This is a multipart question. So l solve only first three subparts. Repost for the fourth part.