gcd (40489, 76397) by euclid's algorithm
Q: Prove that the sequence {f(1/n)} has a limit if |f'(x)| < 1 for all r € (0, 1]. I
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A: p⇒p∨q
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A: I have used the definition of continuous function in topological space.
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Q: Find the 103rd derivative of cos(2x). Hint: find the first few derivatives and observe a…
A: First find nth derivative then put n=103 to find the 103rd derivative as in next step.
Q: 2. Consider the function f : R²R such that f(x, y) = x²y-2xy² +6xy-3y² +18y. (a) Show that f has…
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Q: I. Fill in the blank. 1. The translation of Newton's Law into mathematical form is written as
A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…
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A: Let, f(x) = 2x2 - 3x, We know that Simpson one third rule gives the accurate result up to third…
Q: [2 + m 3 1 1. Given A= a. (AB)¹ - A b. 4A-¹ + 2B-1¹| a. 2AB-1 1 2 -1 -1 4 5+ ml and B = [-1-m 2 3…
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Q: ƒ(x) = 3x4 +√4x; ƒ"(1.2) 6
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Q: Numerical Integration: 5 (2x² – 3x)dx 2. 2
A: Given that∫252x2-3xdx⇒ 2x33-3x2225⇒ 2×(5)33-3×(5)22-2(2)33-3(2)22⇒ 2×1253-3×252-2×83-3×42⇒…
Q: 5. (D³ - 2D+4)y=0; y = -2, Dy= 8, D²y = 0, when x = 0
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Q: 12 Question If the percentage rate of growth of time series data is stable, then time series has: 1.…
A: Solution:- If the percentage rate of growth of time series data is stable, then time series has-:…
Q: Given: region R below bounded by the graphs of y = √x-3, y=9-x, and y = 0. (7,2) (3,0) (9,0) (a)…
A: We are authorized to answer one question at a time, since you have not mentioned which question you…
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Q: T et dt, find F(1) and F'(x). ez 1. If F(x) =
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Q: et FCK be a field extension and let R be the alg K. Then R is a subfield of K and FCR.
A: let alpha and beta are in R
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A: We know the forward differentiation formula is given by, f'(x) = {f(x+h) - f(x)}/h. Now, we will use…
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A: Matrix: A matrix is a rectangular array or table of numbers, symbols, or expressions that are…
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Q: Determine the parametric equations of the curve of of the ellipsoid 4x² + y2 + 4z2 = 4 and the…
A: Solution: Given equation:ellipsoid: 4x2+y2+4z2=4; and half−cone: y2=x2+2z2 To find: parametric…
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A: Given: The rule, 23f-2,-1+4f-2,0+f-2,1+f2,-1+4f2,0+f2,1 is applied to solve ∫-11∫-22fx,ydxdy. To…
Q: y" + 2y' + y = −e* [(− x² + 4x+3)cos x + (− x² + 4x + 3)sin x]
A: As per the question we are given a second order linear non-homogeneous differential equation. And we…
Q: X 1 4 7 9 11 f(x) 12 -23 -15 33 -13
A: Lagrange's interpolation polynomial for n points can be defined as:…
Q: 3. Solve the following differential equations using Laplace transforms: d³x d²x dx + + dx d²x b. +x=…
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Q: the set S = [-10, 10] Define the function g on S g(x):= Does g have a maximum and minimum on the set…
A: Taking t =0 , g(x) = -x if x∈[-10 , 0)1-ex if x∈[0,10] g do…
Q: (0,4) C R (-2,0) (-1,0) (1,3) (c) Use the WASHER METHOD to set up a (sum of) definite integral(s)…
A: Divides the region into two subregions.
Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESU 4. Lim (2 4 Arctanx.
A: Solution:-
Q: y" − 7y' +6y=−e* [17 cos x-7 sin x] y(0) = 4; y'(0) = 2; -
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Q: Evaluate the iterated double integral JI-X² ( [√x² sin (x² + y²) dz dy dx
A: A a couple of imperative is a specific imperative of a characteristic of numerous actual variables…
Q: 11. Given vector u = (2, a, 3), vector v = (1, -3, b) and u x v = (13, -5, -7). Find a and b.
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Q: Compute the Fourier series for the given function ? on the specified interval.
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Q: 4. Which of the following vertices are adjacent to vertex B? B E F A) AEDC B) AEFC C) AEDFC OD) AEC…
A: Since you have posted a multiple question according to guildlines I will solve first(Q4) question…
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Q: whether it is transitive. a) {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4)} b) {(1, 1), (1, 2),…
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Q: 1. How many corner points are there in this LP problem A. 1 B. 2 C. 3 D. 4 2. Which of the…
A: Introduction: Linear programming is a mathematical technique for optimising operations given…
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