How do I prove that the enpdpoints of the interval of convergence is converging or diverging

Q: 2. a. Solve the linear inequality: 2(5-x) ≤ 3(5-x) - 7 x. b. Hence or otherwise, represent your…

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Q: Express the following points given in Cartesian coordinates in terms of spherical coordinates. (x,…

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Q: Consider the curve r(t) = (1²,13,21). Let L be the line tangent to the curve through the point…

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Q: Few companies take the time to estimate the value of a good customer (and often spend little effort…

A: (a) We have to develop a mathematical model to compute the gross profit during a customer's lifetime…

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A: Consider the translation funtion t(x, r) = x + r Consider the scaling function s(x, c) = cx The…

Q: Suppose you are to seat three people (Anna, Beth and Charlie) in a row. In how many ways, can they…

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: If H is a Hilbert space and SCH, show that S = S. When S is the same as S? Justify.

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Q: 7. The following two payment streams have equal present values: i) 500 at time 0, 600 at time n and…

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Q: The figure low shows the stope net equation cos(y). On a print out of this slope field, sketch the…

A: Given That : A differential equation is y'=sinxcosy To Find : a) Sketch the solution that passes…

Q: The function y(t) = ln(4 + 5t), t> − , is a particular solution to the differential equation y" +9y…

A: Solution :-  The differential equation is       y" + 9y = g( t ) and yp( t )  = ln ( 4 + 5t ) , t…

Q: Define Aa = {(x,y) ER^2 | 0≤x≤ a,0 ≤ y ≤ (-(1-a)/a) x + (1 -a)), where 0 < a < 1. Sketch the…

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Q: 3 (a) Using Euclid's algorithm, solve the equation [25]57 X= [4]57 for X € Z57. Show your working.…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: 1. Here we consider f(x) = x near x = 8. (a) Find T₁(x), T₂(x) and T3(x) centered at x = 8. (b) Use…

A: (a) We have to find T1(x), T2(x) and T3(x) centered at x = 8. (b) We have to use each of T1(x),…

Q: Let AE Rmxn and suppose that the rank of A is m where m is less than or equal to n and be Rm.…

A: Given: We are given a matrix A of size m×n with rank m where m≤n, a vector b of length m×1, and a…

Q: given f(x) =-2x+4 find inverse function f-1(x) and sketch both functions on the same graph (use…

A: Given f(x) =-2x+4 find inverse function f-1(x) and sketch both functions on the same graph (use…

Q: Maximize 60x+90y+300z subject to the constraints below. X 2x x20, yz0, zzo X + + 5y y + + N N VI VI…

A: Maximize w=60x+90y+300z Subject to x+y+z≤400x+5y≤4002x+z≤500x, y,z≥0 We have to solve the given…

Q: Z and W are both complex numbers. Add them together once in exponential form and once in polar form.…

A: Introduction: A complex number is a number that can be written in the form a + bi, where a and…

Q: . Prove the stability estimate for the solutions of the boundary-value problem -(au)' + bu' + cu =…

A: As per the question, we are asked to prove the stability estimate for the solutions of the…

Q: Question t s). Show that a reflection about the line y = x is equivalent to a reflection in y…

A: Given a point P is reflected cross the line y=x the new point after the transformation is P'.…

Q: For questions 7 through 13, refer to the box-and-whisker plot below that shows how much time was…

A: The given box and whisker plot shows average minutes per night spent on homework for a 7th grade…

Q: calculate the compound amount and compound interest (in $) for the investment. (Round your answers…

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Q: Establish the following identities through algebraic techniques and identities. AE 5a) tan a-cot a…

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Q: Find the equation of the tangent plane to f(x, y) = x² - 2xy + 5y2 having slope 2 in the positive x…

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Q: Calculate the derivative of the function. f'(x) = f(x) = 1 (x+8)²

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Q: Using Gauss Seidel Method, Solve for the Roots of the Linear system below. Assume initial values: x₁…

A: Gauss-Seidel Method: The Gauss-Seidel method is an iteration method which is used to solve a system…

Q: Consider two probability density functions: f(z): {12, for <2<1; and g(z) = {1,52², 6th wicz <1;…

A: As per the question we are given two probability distributions f(x), g(x) and two sets A, B  Now…

Q: aph of the polynomial function shown f(x)=3x^(4)-41x^(3)+19x^(2)+89x+26

A: Given: fx=3x4-41x3+19x2+89x+26To find: The aph (or leading coefficient) of a polynomial function.

Q: 1. Find the absolute maximum and minimum values of f on the set D. (a) f(x,y) = x + y - xy, D is the…

A: 1) a)

Q: Derive the "addition formula" for tanh(x + y) in terms of tanh x and tanh y

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Q: 17-20 (a) Find the unit tangent and unit normal vectors T(t) and N(t). (b) Use Formula 9 to find the…

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Q: First-order difference: ди Əy du ду = Second-order difference: j=1 Uj=2-Uj=1 Ay −3uj=1+4uj=2 — Uj=3…

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Q: Find all the values of such that matrix B is a singular matrix. (1 λ λε 1 1 1 1 3 9 B =

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Q: Solve the initial value problem for r as a vector function of t. fr Differential equation: 2 dt² = -…

A: This question is about second order ordinary differential equation.

Q: Find the point on the line y = −3x + 4 closest to the point (-9, -10). A function s(x) giving the…

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Q: 5. Find the gradient vector field of f = √2x² + 2y² and sketch it.

A: Given: Let us consider the given vector field, f=2x2+2y2 To find: The gradient vector field f and…

Q: Determine the values of the parameters for which the system has a unique solution, and describe the…

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Q: For two polynomials p and q in P₂ let (p/q) = f*p(t)q(t)dt. (Note: the limits are unusual). Let U =…

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Q: Use the AST to determine whether the series converges. In n n Σ1(−1)n+1. O The series converges by…

A: This question is about to check convergence of alternating series.

Q: 0 (a) The matrix M is given by M = 2 1 -1 0 Evaluate M-¹ (using elementary row operations). Evaluate…

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Q: Over what range can the coefficient of x2 vary before the current solution is no longer optimal?…

A: To determine: The range over which the coefficient of x2 can vary before the current solution is no…

Q: Use the given transformation to evaluate the integral, where where R is the interior of the…

A: None of the answer is right for the given problem.

Q: Use the AST to determine whether the series converges. 1) n+1 = 1/2/3 Σ1(-1) ¹+¹ 7 n2 The series…

A: The given series is ∑n=1∞ -n+17n32. We have to check whether the series is convergent or not by…

Q: Calculate the derivative of the function. f'(x) = f(x) = (6.4x8)-2 + (4.3x - 5)-² 2

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Q: Exercise 6.2.11: Define (t−1)²_ if 1≤t< 2, if 2 ≤ t <3, otherwise. f(t)=3-t 0 a) Sketch the graph of…

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Q: *Is there a cycle in G₂? How many? *Is there a semicycle in G₂? Which nodes are included? Is the…

A: For the given graph G2 , there are 5 cycles.        One 1-cycle (loop) at vertex g.        One…

Q: 6. Prove the formulas for calculating the inverse of a small matrix: a. Gauss-Jordan formulas for…

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Q: How many ways can six of the letters of the word ALGORITHM be selected and written in a row if the…

A: Given: Word: "ALGORITHM"To find: The number of ways to select and arrange six letters from the word…

Q: Q3 Not submitted Section 4.1 # 14 Show that if a, b, and e are integers with e > 0 such that a = b…

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