Factor the difference an+1 an to show that the given sequence {an} is strictly increasing or strictly decreasing. n 17n +8=1 ; strictly increasing ; strictly increasing ; strictly increasing an+1 = an = 17 (17n+8)(17n + 25)' 8 (17n+8)(17n+25)' 8 (17n8)(17n + 25)' 8 (17n 8)(17n 25)' 8 (17m+8)(17n+25) ; strictly decreasing strictly decreasing

Q: Prove that.

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Q: 3. Find the inverse of the matrix A = 1 0 -2 2 4] 1 3 2, if it exists. 5

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Q: If A = i - 2j - 2k ,B = 6i + 3j + 2k, find A. B if 0 = 70 7.182 4.897 O 12.5 5.12 000

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Q: Find

A: We solve by Gram-Schamidt process.

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A: To find the series solution of the given differential equation we consider the given differential…

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Q: Let pn (2) be the Taylor polynomial of degree n of f(x) = cos x about Problem 2. a=0. How large…

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A: To find- If the system  -4x - 4y - 7z = -35x - 7y + 7z = 4-24x + 24y + hz = k has infinitely many…

Q: 6. The matrix P = has eigenvector general solution of the system ' = Px. with corresponding…

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Q: Find all real zeros of the function. g(x)=-4x (x²-25)(x-3) If there is more than one answer,…

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Q: If NG and both G and G/N are soluble, show that G is soluble.

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Q: Consider the function f(x) = 1 + 2x + 3x² + 4x³. Let s be the sum of all distinct real roots of f(x)…

A: First derivative check for monotonicity

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Q: Consider the following table. X f(x) X f(x) 0.0 6.5 2.0 7.9 0.4 6.1 2.4 8.5 0.8 6.4 2.8 8.6 1.2 6.6…

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Q: L{f(t)} F(s) Suppose that L{f'(t)} exists What's the value of: {-te¹0f'(t)} A) SF'(s) + F(s) B) (s…

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Q: Situation 3. A stone is shot on a level ground at an angle of 56° with the horizontal with an…

A: Stone is shot at an angle 560 from the ground with an initial velocity 112 m/s

Q: -49 fy y(u)du = sen (7t) * g(t) for some function g(t). 11. By solving the equation y(t) = = sen…

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Q: Solve using Power Series Centred Around Zero. (X²+1) y" - 4XỲ +6y=(X² +15²³

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Q: . What is the sum of the measures of the exterior angles, one at each vertex, of a polygon with 26…

A: (5) To find the sum of the measures of the exterior angles, one at each vertex of a polygon with 26…

Q: Show that the vector field A and B are everywhere perpendicular if A (2.-5,6) and B (6,5,-2)

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Q: Determine whether each statement is Existential Quantifier (EQ) Universal Quantifier (UQ) or Unique…

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Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: To find the volume of the parallelepiped formed by given vectors.

Q: One of the following is a general solution of the homogeneous differential equation y" - y' - 2y = 0…

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Q: Find the determinant of by cofactor expansion. 5 0 7 0 1 -7 - 4 0 0 6 -8 0 0 0 3 0 0 - 20 -54 0 1 0…

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Q: Use the Laplace transform to solve the initial value problem Note: Use u for the step function. y''…

A: We have to solve the given problem.

Q: 13 5. In the process of calculating the inverse Laplace transform of the function F(s) = -27- arctan…

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Q: Not to Scale b Co! = In the diagram OAB is a triangle with vector OA=a and OB=b such that|a|=5, |…

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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

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Q: Q1) Determine the halve range odd expansion of the function whose definition is: 0≤x≤1 f(x) = 2-x…

A: Given function is f(x)=1,        0≤x≤12-x,   1≤x≤2 Halve range expansion series is the Fourier sine…

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A: Please check the solution in next step

Q: d) 2log4128-5

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: 3 (=-2)* 2. Show that - = 00,

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Q: what ordered pair is an example of a topological space that is connected but not path-connected,why?

A: We use contradiction method.

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Q: y' (t) = sen (5t) - 25 25 [y(u)du y(t) = sen (5t) *g(t). When solving. With y(0)=0 you obtaing the…

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Q: 6. (*) Solve the following equations using the method of characteristics. In each case, if the…

A: By Bartleby policy I have to solve only first one as these are all unrelated & lengthy…

Q: Question 2. Let E be the solid region inside the surface x² + y² + z² = 25 and above the surface z =…

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Q: Solve using Power Series Centred Around Zero. (X²− 1) X² y“ - (x²+ 1) y` + (x² + ₁) Y = O

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Q: 5. Determine whether vectors u =(2,-6,-5), v = (3,8, 18) and w = (8,-6,7) will form a basis for R³.…

A: Basis is very important in linear algebra. A basis set always contains linearly independent vectors…

Q: Question 2. Let E be the solid region inside the surface x² + y² + z² = 25 and above the surface z =…

A: Note : (i) Cross section of two surfaces is a common curve lying on the both surfaces           (ii)…

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Q: 1. Consider L{y(t)} = Y(s). By solving the equation ty"(t) + 22ty(t) = 0 con y(0) = 0 We have that:…

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Q: where is the table???/

A: given function y=-0.2x-5-6 consider the function y=0.2x                ...i x y=0.2x -0.684…

Q: the given graph and

A: We have a connected graph G. Graph G has 6 vertices in it. We need to find the vertex-connectivity…

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