Suppose that five good fuses and two defectives have been mixed up. To find the defective fuses we test What is the probability that we are lucky and find both defective fuses in the first two tests?

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Q: 3. Determine whether the following series converge or diverge. 4+cos? n (3n–\n) Σ +00 (5-4(ln n)³)"…

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Q: Let [7 -37 A = -4 -1 -6 -2 7 -7 a Define the linear transformation T : R³ → R³ by T(ã) = Aã. Find…

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Q: A us ing the test comparing the 8. series Ena, n?_2n-3

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Q: Use the 3rd degree Maclaurin polynomial for g(x) = r cos Write your answer in decimal form. to…

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Q: Question 4 2 1 1 1 Let V1 = V2 = 3 V3 = 1 V4 = 1 4 8 For what value of t is the set V1, V2, V3, V4}…

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Q: Evaluate the Inverse Laplace Transform 35+1 F(s)=- (s- 25)

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A: Typewritten answer in latex is presented below.

Q: is this convergence or divergence? {( n 2n +1) n=1

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Q: 1 List the elements of each of the (a) The set of integers between 1 and 50 that are divisible by 8…

A: a) Set of integers between 1 and 50 that are divisible by 8 is: S=8,16,24,32,40,48

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Q: Q4) Find plane area inside the polar function r = 2 and outside the polar function sin ( - 0) +1 in…

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Q: 1 + 4 = 5 2 + 5 = 12 3 + 6 = 21 8 + 11 = ?

A: Solution :  Given that  1 + 4 = 5  2 + 5 = 10  3 + 6 = 21  8 + 11 = ?

Q: Given d, = and dy = Then d, and d, are not - conjugateif Non of these O D

A: Given d0 = -11  and  d1 = 56

Q: 2. Use the met hod of undet er mined coefficients to solve t he syst em x' = Ax+f, where b. A = f(t)…

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Q: Let T: P2 – P2 be defined by T(p(x)) = p(5x + 3) and let B = {1, x, x²}. b c] а If [T]B = |d e f,…

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Q: Question 8 The binomial theorem states that for any real numbers a and b, (a + b)" = k%3D0 for any…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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Q: Q5) Find volume of body bounded by z = x - y from below and z = x +y from Above inside y = x2 ,y =…

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Q: IV. Determine if the given is convergent or divergent. n Σ #2. L in? + 1)² n=1 %23

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Q: Let B = {1+x,1 – 3x?, x + 6x?} and p(x) = 12 + 8x + 9x?. You are given that B is a basis for IP2. If…

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Q: and dy = Then d, and d are not 6- conjugate if Gis Non of these O D

A: Given d0 = -11   and   d1 = 56

Q: Find Duf at P. f(x, y) = 3(1 + xy) 2; P(5,3); u = 1 i+ NOTE: Enter the eract answer. Duf 62

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Q: uate the integral fdy dx using polar coordinate

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Q: (-1)" (2n+1)! n=0 Σ Given: sin x x² n2n+1 for x E R (-1)"(2n +1) 4" (2n + 1)! Compute the exact…

A: Given: sinx=∑n=0∞-1n2n+1!x2n+1 for x∈ℝTo compute: The sum ∑n=0∞-1n2n+14n2n+1!

Q: Evaluate the following sum of iterated double integrals: -2у 2 •4–2y dr dy + | dx dy 0.

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Q: %3D 2. Use the met hod of undet er mined coefficients to solve the syst em x' = Ax+f, where l: f(t)…

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Q: The task is to determine and sketch the domain of the function In (b – a² + 4) V36 – 4a² – 9b² g(a,…

A: Here function is given in terms of a and b ,We will sketch the domain by plotting a along horizontal…