Show whether the series is abs. conv., cond. conv. or div. Σ(+1)

Q: b) Obtain a Taylors series of degree three for the function f(x) = log (1+2x) near x = 1 hence…

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Q: SHORT ANSWER QUESTIONS: Using radians, find the amplitude and period of each function. Then graph.…

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Q: log₂x + log₂ (2x² + 5x − 14) = logs 125 -

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Q: 2 3 XIII. 5 7 8

A: Given graph as,

Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

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Q: 1: Let p: “Chad is a good teacher.”, q: “Karen is a good teacher.”, r: “Chad's students hate math.”,…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 4. Compute the product AB in two ways: (a) by the definition, where Ab₁ and Abê are computed…

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Q: 9.9 The area of the shaded region shown in the figure can be calculated by: 4 = 1³² (-3²x²2+5) dx =…

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Q: y"-2xy=0 solve it by power series

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Q: C. Determine whether each linear congruence is solvable. 1. 12x=18 (mod 16) 2. 15y =18 (mod 12)…

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Q: 3. Evaluate III 6: 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

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Q: 3. Evaluate III 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

A: We need to find the given triple integration first we will find the limit according to order of…

Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: L/s and pipe diameter of 0 ssure at point B must be a D

A: Given, Q = 90 L/s or 0.09 m3/s D = 0.30 m

Q: 3î+ 21-7k and C

A: Given as, A→=i^-13j^+4k^B→=3i^+2j^-7k^C→=i^-2j^+2k^

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) = |x-1| In its domain. a.…

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Q: A number-theoretic function f is said to be multiplicative if f(m,n) = f(m)f(n): :Select one For all…

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Q: Compute the area of the polygon with vertices at (6,1), (3,-10), (-3,-5) and (-2,0)

A: Let us consider a polygon of n vertices x1,y1,(x2,y2),..........,(xn,yn) The area of the polygon is…

Q: -= 3x+y², Use the Modified Euler's method to find y(0.1) correct to 3 decimal places given dx…

A: Modified Euler's method uses the formula: ym+1=ym+hf(xm+12h,ym+12hf(xm,ym)) to perform the…

Q: Compute the value of the following integral: ∞ (t) cos() 8 (t-1)dt ∞ 2 where 8(t) is the unit…

A: According to the definition ∫f(x)dx=F(x)+C, where dFdx=f(x). A delta function is defined as δ(t-a)=0…

Q: 2 Find the volume of the parallelepiped whose edges are represented by A=i-13j+4k, B = 31+2j-7k and…

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Q: 3) The correct solution of the center of mass bounded by x=y² and x= 2y = y² if the density is 6 = y…

A: We have to find the center of mass bounded by the curves x= y2 and x=2y- y2 if the density at the…

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

A: Fisrtly find domain and then find left hand limit and right hand limit with the help of limit…

Q: • !!! 622 dV where G is bounded by x + 2y + 4z = 8 in the first octant. 3. Evaluate

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Q: 1) The PERT method to solve? a) Game theory b) transportation model 2) To find the saddle point in…

A: 1) The PERT method to solve --> (c) network analysis. 2) To find the saddle point in game theory…

Q: D. Determine the number of incongruent solutions of each linear congruence. 1. 22x = 18 (mod 75)…

A: Given linear congruence is  1. 22x≡18mod 752.   2z≡119mod 983.   9x≡95mod 36

Q: y"-2xy=0 solve it by power series

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Q: Q2: Locate the singularities of the following functions and determine their type. 1) (z²+z)-¹ sin…

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Q: Show that the two equations above reduce to 6x² - 43x+84 = 0 when perimeter = 12 and area = 7. Does…

A: Here we solve the second degree equation.

Q: shown in Figures 1.2.9 through 1.2.14. In each of Problems 24 through 29 identify the differential…

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Q: ty'' +(2t - 1)y' - 2y = 5t² e -2t. A general solution is y(t) = Y₁ = 2t - 1, Y₂=e-2t

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Q: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD) per kg. The…

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Q: 2y² + ty=2; y=e=¹²/4 [*° e ²/4 ds + Ce-ª²/4, y(0) = 1

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Q: Find a general solution to the differential equation using the method of variation of parameters. y"…

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x)= |x-1| In its domain. a.…

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Q: xy" + 2y + xy = 0 find two linear independent solutions by using Maclaurin series

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Q: e formulation is called balance el seeks the determination of a

A: To explain the given statement as,

Q: 2 Find the volume of the parallelepiped whose edges are represented by |Ả=î - 13ĵ+ 4k, B = 3î +2j-7k…

A: Let us consider the parallelepiped formed by the vector a→,b→,c→ The Volume of parallelepiped is…

Q: Use induction to prove that 80 04 n Σi(i+1) for all integers n ≥ 1. = n n+1

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Q: d spent 4/5 of his money

A: Part 1. Given that Dad spent 45 of his money on gas for his car and 12 of the remainder on…

Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

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Q: of the following functions and determine their type. 2) exp (z − ¹). - Q2: Locate the singularities…

A: Use the given function.

Q: Iteration method anx-x-2=0

A: The following steps are used to find the numerical solution of the equation fx=0 by the fixed point…

Q: 2 Find the volume of the parallelepiped whose edges are represented by A=i-13j+ 4k, B = 31+2j-7k and…

A: We are given the edges of  A→=(1, -13, 4),  B→=(3, 2, -7),  C→=(1, -2, 2) Parallelepiped and we need…

Q: modified decomposition method) u(x) = 3x² + (1−e¯¹³ ) − ſ*"*e¯x³+²³ u(t)dt

A: To solve using modified decomposition method: ux=3x2+1-e-x3-∫0xe-x3+t3utdt

Q: The domain of the relation A is the set of all real numbers. Ay if |x-y| ≤ 2

A: Given relation is A=(x,y): x-y≤2, x,y∈ℝ Here x is the domain of the relation.

Q: 2) Simplify √²√√y 3) Evaluate a) CAIFF. (3)ż (3) 32 b) 643 +164-42 c) 12

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Q: Complete a function analysis of the graph below: 10- -5 Domain [Select] Range [Select] Positive…

A: For a function y=f(x), the set of real values of x for which f(x) is defined is called the domain of…

Q: 3 Find the directional derivatives of = 8xyz³ - 2x²y²z² at the point (2,-1,1) in the direction 2î -…

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Q: 2. Consider the function F, that assigns x in its domain to x²-1 F(x): |x-1| In its domain. a. What…

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