is it divergent, convergent or absolutely convergent?

Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Given that The courier  will deliver  if the length plus girth does not exceed 108 inches.…

Q: 2. The subset [a,b) of R is neither open nor closed. Prove it and construc an illustration.

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Q: Find the solution of the equation P №²₂ a²z อ + cos y ax² ay ² which tends to zero as x→∞ and has…

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Q: Use Squeeze Theorem to evaluate lim x44x COS X logix

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Q: Using two 11.51. The e is nearly?

A: The Simpsons 13 rule is given by the formula  ∫abf(x)dx=b-a3nf(x0)+4f(x1)+f(x2)+...f(xn-1)+f(xn)…

Q: x: 1 f(x): 1 cubic spline interpolation for the data : 2 3 4 5 0 1 0 1

A: We need to find cubic spline interpolation of given data.

Q: 1. Use forward and backward difference approximations of O(h) and a centered difference…

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Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

A: To find: Value of f(5.00) Using Lagrange interpolating Polynomial Rule.

Q: Question 11 Suppose that the world's current oil reserves is R = 2140 billion barrels. If, on…

A: We will construct a linear equation according to the given conditions.  Given that R is the number…

Q: lim x-0 sin² (2x) + tan (2x²) x²

A: We want to calculate the limit limx→0sin2(2x) + tan(2x2)x2

Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

A: Newton Method:-  so the value if y at x=5.00 is 6.28 inch

Q: 3. fe2x+Inx² sin x² dx = = 2x -+√e²x cos x² dx

A:

Q: VIII. Suppose that f(x) is continuous everywhere and the graph of f'(x) is shown below. Do not…

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Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

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Q: e²x+lnx² sin x² dx = 2x +Se²x cos x² dx

A:

Q: 2. Topologically sort the vertices of the digraph below. Your answer should be a sequence (list) of…

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Q: An estimate value of f(x) dx is 10 using trapezoidal 2 - interval rule. W is an estimate value of…

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Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

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Q: Lk -8 k - 11 6. Assume that A and B are n x n matrices with det A = 3 and det B = -2. Find the…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Determine whether the line integral of each vector field (in blue) along the oriented path (in red)…

A: it is known that  line integral F·dr will be positive if both F and dr have same direction. and if…

Q: Which of the following images goes in the missing part of the sequence? * lol ? Oo O O Option 1…

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Q: Let X be a normed space, Xn, Yn EX such that Xnx, Yny, then 1-Xn + Yn → 4- ||xn-ynll→→llx - yll.…

A: Given that X is a normed space, xn, yn ∈X such that xn→x, yn→y. To find: 1. xn+ yn→x+y…

Q: The function f (z) = |z|+1 O True O False is analytic

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Q: f/² sin (3) 4x COS ; (**) sin (*) dx (Consider initially the first 2 terms)

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Q: Using two intervals of Simpson's 1/3 rule, an estimate value of f(x) dx is 11.51. The estimate of…

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Q: Find the number of all ordered 4-tuples of integers that are greater or equal to -3 whose sum is 1.…

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Q: Find the solution of the equation P №²₂ a²z อ + cos y ax² ay ² which tends to zero as x→∞ and has…

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Q: -1<x<0 swer only three for the following function f(x) = { x: 0<x< 1 Find the Fourier coefficient…

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Q: 8. (1+e¹¹)² 2

A: Given function is f(t) = 1 + e-t2⇒ f(t) = 1 + e-2t + 2e-t To find linear transformation we use the…

Q: Matrices D, M and X are 5 x 5 invertible matrices. Given det (A) = 7, det (M) = -4, and Hlet (P) = 6…

A: (a).  det3MT As  detMT = detM So det3MT = 35detM = 243(-4)  =  -972 Hence Answer: det(3MT) = -972

Q: Example 10.12. Solve the following by Euler's modified method dy = log (x + y), y (0) = 2 dx at x =…

A: Here, we need to solve this differential equation using modified Euler's method.

Q: -3.8 The integral 28x³e-x² dx is approximated by Simpson's 3/8 rule with 9 intervals. Let f(x) =…

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Q: y = y= 1 sinx-cost It Sinh tesy 1 sinxtrost 1+ sinx-cOS X Xi-2-5 Newton method of optimization

A: We can solve this using formula of baton rajaon method

Q: The annual cost of attending a particular college increases by 6% each year. When the college first…

A: Given that annual cost of attending a particular college increases by 6% each year. Initial coat of…

Q: A recent college graduate borrows $150,000 at an interest rate of 6% to purchase a condominium.…

A: Please find step by step solution below:

Q: fe²x+Inx² sin x² dx = - +1/√√e²x cos x² dx

A:

Q: Q2: 1. Solve the following equation exactly ý + 2xy = x and y(0) = 1.5, h = 0.1 2. Use the Euler…

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Q: Graetest common divisor of 252 and 664 Greatest common divisor of 252,414,664

A: Greatest common divisors

Q: Let A be a fixed 10 x 10 matrix and let H be the set of all 10 x 10 matrices N with the property…

A: Given that A is fixed 10×10 matrix and H=N  NTA=AN. To find : H is a subspace of all  10×10 matrix…

Q: Find the divergence and curl for the following vector fields. Describe the characteristics of the…

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Q: Calculate S(102, 100) and s(5, 2) where S(p, k) is the Stirling number of the second kind and s(p,…

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Q: Show that the equation 2²y Əy +2k 2²y 6x² ax² 1 2² Ət possesses solutions of the form X 00 kt Σ c,…

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Q: Q4: Find the derivative of the function at Po in the direction of A 1) f(x, y) = 2xy-3y², P.(5,5), A…

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Q: Example 7.30. Using Hermita's intropolation, find the value of f(- 0.5) from the following data: : 1…

A: Given data is x -1 0 1 f(x) 1 1 3 f'(x) -5 1 7 Using Hermite's interpolation, the value of…

Q: Draw  (i) a simple graph,  (ii) a non-simple graph with no loops

A: (i). Simple graph:      A simple graph is a graph that does not contain more than one edge between…

Q: Example 7.22. Find the distance moved by a particle and its acceleration at the end of 4 seconds, if…

A: Legranges interpolation

Q: 2. (Problem 3.38 modified) Obtain the solutions of the following second-order non-homogeneous ODES:…

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Q: 2 – 26s – 47 ( s - 1 ) ( s + 2) ( s + 5) 2ی

A: # As per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. log(x+3) 4. lim…

A: Limit of the function

Q: A = 2 3 2 3 -2 -2 -2 -2 11 7|2 7|27|2 -IN 1 1 22 1 1 1 2 1 -IN 2 1 1 45 01

A: Follow the python script.