Consider the power series vn(5 – 2x)" 2n + 1 - n=1 a. Show that the series is conditionally convergent at x = 3. %3D b. Identify the interval of convergence of the series.

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A: System of linear equations

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Q: Let A and B be 2 × 2 matrices. The equation (A – B)(A+B) = A² – B² is correct. (A) True B False

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Q: Using Theorem 3, find f(t) if L(F) equals: s + 10 ? – s – 2

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Q: base

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Q: Show that x2 +3 and x2 + x + 1 over Q have same splitting field.

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Q: Consider f(n)=7n+8 and              g(n)= n2 Is f(n) = Ω (g (n))?

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Q: II. Perform the following conversions 1. FADE base 16 to base 8 2. 1110011100 base 2 to base 5

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Q: -1 -1 01 3 31 [4 The (1,2) – entry of, 0 is 12 1 2 (A -1 B) 4 c) 1 D) 14

A: We want to find (1, 2) entry

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Q: 1 -2 -1 2 0 В ]' 21 3. Which of the following 5] [7 1 -3 Let A = 2and C -1 4 5 3 l2 0 6. 2 4 is the ...

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Q: e-Using dy dx dt + Зу -5х —е t — dt dy +x+y- 3 = 0 dx dt dt

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Q: Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate the...

A: Given: hx=x4 To approximate the values of 34 and 44 using linear approximation of hx. Note: the line...

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Q: Find the Taylor series expansion for the given function: f (x) = e-6x centered at x = -4

A: We have , f(x) = e-6x  , center at x = -4 We need to find Taylor series expansion of f(x). We know t...

Q: Which of the following matrices coresponds to the inverse of the elementary row operation.. 3R1 + R2...

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Q: Theorem Let A a a- algebra. Let P:A(0, 1] so that P(1) = 1 and it is additive. Then it is equivalent...

A: Given that A is a σ-algebra. Let P:A→0,1 such that PΩ=1 and it is additive. Given statement are: (iv...

Q: 12. Use the method of cylindrical shell to determine the volume of the solid obtained by rotating th...

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Q: SANTIQUEVATET AADT-this are data that are countable and can be 3 MIRRPAY ATDA- data that gather to t...

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Q: Express the given complex number in rectangular form (3cjs40) (4cjs80) Answer: a. –6 + 6/3j b 6 + 6/...

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Q: if an investment of P750,000 that matures in 15 years but with certain specification that P 500000 w...

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Q: Obtain a numerical solution of the differentia I dy equation: - +2y=1 using the Runge Kutta method i...

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Q: Find domain and range to the following function Y = tan (cot.x)

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Q: 5 0 B= 6. 1 2 then A.B : 7 Let A= – 4 [-7 14] [39 -28] O 17-8] [6 -9] O [4 -6] [5 -3] O Skip

A: Given A = 123-4  and   B = 50-67

Q: 1 -2 5 2 3 0 is 2 -6 -7 5 The cofactor of the (2,3) – entry of [5 4 4

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Q: TRUE OR FALSE a. If AB = [0], then A or B is a zero matrix.  b. For a square matrix A,AAT = ATA.  ...

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Q: da 4x² + 9

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Q: Solve the following equation, working over Z20 and over Z respectively: a2 + 5y? 322.

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Q: Luse Stokés theorem to evaluase the SS Can! F.n ds, S being that Part of the Sar face of the para bo...

A: Here we use basic stokes theorem that converts double integral into line integral.

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Q: Answer: a. 4cjs () b. 4cjs () c. 4cjs () d. 4cjs ()

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Q: sinh(3r) Solve for fe(r) given that f(r): %3D 3

A: According to the definition of hyperbolic functions sinhx=e-x-ex2 and coshx=e-x+ex2. The derivative ...

Q: 1. Simplify the given Boolean expressions to a minimum number of literals: a. XYZ + X'Y + XYZ'

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Q: 2. Find the equation of the normal line to the graph of e" tan(ry) – In(r - 3y) = sin (7x) %3D at th...

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Q: Which of the following matrices corresponds to the inverse of the elementary row operatio 3R1 + R2 →...

A: We have to find true option

Q: x + 3 . (x + 3)² 1+- + ... 22 32 Show your complete solution. Indicate the test/s performed, if nece...

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Q: [0] Let A = : 1.B = : J.c = 6 1. and V = [1 2 31 l4 5 6 „B = lò ol.c = 6 1, and v = |1. What is the ...

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Q: Proe the tollowing Statement . Fa dyer n22, n'3 is. never dinsible by 4. any thint. comosder h as od...

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Q: (a) Find the solution to dy: dt dyz Y1 + 3y2 3y1 – V2 dt with the initial condition y1 (0) = 3, y2(0...

A: Solution a: Given system of differential equation is dy1dt=3y1-y2dy2dt=y1+3y2 with initial condition...

Q: Find the number of distinguishable permutations of the digits of the number 348 838.

A: Given number 348838 There are 3 8's 2 3's and 1 4 in the given number

Q: 2. Draw the graph z = - cos(y) for 0 < y < 2n, and then use it to help you sketch solutions of y' = ...

A: Firstly we draw the graph of z=-cos(y) for the given interval. Then we find the critical points and ...

Q: Which of the following is the solution of the given system below? X1 + x2 - x3 + 5x4 = 0, 2x2 - x3 +...

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Q: Problem 5. Let a E R" be fixed. Suppose that vectors x, y E R" are related by the equation a = x+ (x...

A: Let a ∈ ℝn be fixed.  Given that the vectors x , y ∈ ℝn are related by the equation a = x + x·yy. We...

Q: Use the F distribution table to answer the following. (i) Under the F curve with 2, 2 degrees of fre...

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