3. Determine whether the follow sequences converge or diverge. If it converges, find the limit. n² a) an Vn³+4n b) an = cos² n 272 c) an=n-√√n +1√n +3

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Q: Find the determinant and inverse of the matrix A = 1000000000 2 0000 000 0 (0) 0 00 12300 1 2 3…

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Q: 1. Find the first three nonzero terms for the Taylor series of f(x) = x-² about a = -1. A. 1+2x+3x²…

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A: Given life expectancy of female in Japan is 87 years The premium start at the age of 40. Therefore…

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Q: Part VI  Construct a formal proof of validity for each of the following theorems (using CP and/or…

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A: First we can observe that  6 miles = 6 x 5280 feet…

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A: Introduction: The basic application of Green's theorem is the integration of a line and a curved…

Q: Please write it in a function to represent your talyor series.

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Q: (a) Use finite Fourier transforms to solve (0 0) Pu Ər² subject to and Ju Ət² u = 1-I, du Ət = 0 at…

A: The given problem is to find the solution for the given partial differential equation with given…

Q: 8. The length L, width W, and height H of a box change with time. As a certain instant the…

A: Answer :- Given  L=1m W=H=2m dL/dt=2 m/s dW/dt=2 m/s dH/dt=-3 m/s

Q: Let C be the circle centered at the origin with radius 4 oriented clockwise, and let F(x, y) = (2x +…

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Q: Use a proof by induction to prove that for all n EN, 1+3+5+...+(2n-1)= 1 (2j-1) = n². 9. (9 n², that…

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Q: Given U = {x | XE Z, 0 ≤ x ≤15) and its three subsets: A = { 2x-1 | xEZ, 1 ≤x≤7}, B = {(x+2 | xEZ, 0…

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Q: Suppose f(z) is continuous and positive for all z except at z = 5, and Select the integrals that…

A: Here we take an example to discard options. Also give the description for the correct answer.

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Q: Recall the Fibonacci sequence: f₁ = 1 f2 = 1 fn = fn-1 + fn-2, for n ≥ 3 Prove by strong induction…

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Q: the following mortgage applications. (Round your answers to two decimal places.) Applicant Monthly…

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Q: 1. Find the first partial derivatives of the following functions: a. f(x, y, z) = 3x²/² b. f(x, y) =…

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Q: What is the value of f 4xy²dx + (4x²y + 2)dy when C is the part of the circle x² + y² = 1 from the…

A: Here, we will use the Green's theorem. According to Green's theorem: ∫CMdx+Ndy=∬(∂N∂x-∂M∂y)dxdy

Q: Which method is best for the claim: 2^n - 1 is prime for all n=2,3,4,... O induction O…

A: Counter example is best . Take n=11, Then 2^n -1 = 2047= 23*89 Therefore this is not prime.

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A: Given: r→t=5cost, -sint+cos4t , 0≤t≤2π To find: Area of R.

Q: If A is 4 by 4 and invertible, describe the nullspace of the 4 by 8 matrix B = [ A A].

A: Given that A is 4×4 and invertible matrix. To describe the null space of the 4×8 matrix B=AA. Null…

Q: (s∧t)⟶t       ∼t     Therefore, ∼s∨∼t by _____

A: (1) s∧t→t   (Premise) (2) ~t              (Premise) (3) ~s∧t     (Modus Tollens using (1) and (2))…

Q: Let -9 3 -9 9 3 -7 10 Find an orthonormal basis of the column space of A. A =

A: The given matrix is                          A=1-903-993-710

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A: As per the guidelines I have solved first question. Power series representation are unique.

Q: please answer asap! UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY WITH FIGURES.…

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Q: 2. Consider the surface S₁ with equation 2²-4 = 22. a) Sketch the graph of S₁ in R³. Indicate proper…

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Q: A waveform is periodic with period 2x and over one cycle is defined by 3 |={ f(t) = 0 -T<t≤0 0<t</2…

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Q: limate Change   The most abundant greenhouse gas is carbon dioxide. According to figures from the…

A: Ct≈280e0.00127t The base year is 1750. Therefore in 1950 t=1950-1750=200 C200=280e0.00127×200…

Q: he total U.S. personal income I(in billions of dollars) from 1960 and projected to 2024 can be…

A: The total U.S. personal income I(in billions of dollars) from 1960 and projected to 2024 can be…

Q: 1. Let 1 f(x, y) = 1-x² - y² (a) Find the domain D of f and show that f is of class C on D. (b) Show…

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Q: A bag contains four red marbles, two green ones, one trans- parent one, three yellow ones, and two…

A: There are 4 - red, 2 green, 1 transparent, 3 yellow and 2 orange Hence total 12 marbles Selecting 5…

Q: 3. Formulate an analogous statement on integrability on (a, b) under the assumptions of…

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Q: 5. Solve the (Riccati) equation in terms of the Airy functions. y' = x - y²

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Q: 1. Show the function T : R² → R³ given by T(x – y, 3x + 2y, 0) is linear.

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Q: 91999 90992 The determinant of 4 0 050 A B C D -2 - 12 90390 60070 None of the given options 12

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