k Let n = II p, be a factorization of n into distinct primes P1, Pk. i=1 1 p(n) = n(1 - ²) (1 - ¹) ... (1-²). Then,

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Q: Find the singularity of the function f(z)=(e^z-1)/z at z=0.

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Q: Q2 Using the fixed point iteration method solve the equation 2x³-2x-5=0 in [1,2] with € 0.00002.

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Q: ind the Laplace Transform for the following: †e2tsinh(t)

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: f L{f(t)} = y(s), then L{ƒ'(t)} = sy(s) + y(0) y(s) - y(0) s²y(s) sy(s) - y(0) خبار 2 الخيار رقم 1

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Q: B)Is w = Zez analytical function or not?

A: Here we use the Cauchy Riemann equations to show that the function is analytic or not. At follows

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Q: 5 -2 [x1] Given A=-2 6 2 and X=X₂ [x3] 2 7 show that XTAX = 27, suggest that 5X + 6X2+7X3-4X₁X₂ +…

A: Given A = 5-20-262027  and  X = x1x2x3

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Q: 29 sin z Find all the singular points and the corresponding residues of 210 Res at z =

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Q: 4. Use the e - 6 definition of limit to show that lim (2: +3i) = 2 + 5i. 2+1+1

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Q: let a=2+7i b=4-2i Choose the correct result of a/b * O (6-361)/20 O(-6+361)/20 (-6-361)/20…

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Q: 5. Suppose that the inverse demand and inverse supply functions are pp = 10- 2x and ps = 4 + 2√x,…

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Q: Consider the limit with a as a real constant different from zero I lim e²-1 1- The limit presents…

A: Limit of the function

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A: To Select: The correct the option(s): 11. In line integrals, If x(t) has a derivative equal to 0 and…

Q: (B) Show that for any value of the arbitrary constant C the function xy(C-.x)=1 is a solution of the…

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Q: B)Is w = Zez analytical function or not?

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Q: 4. Prove that (a + b) ≤a+b≤ a + b for any real numbers a and b. (Hint: Use cases when a, b ≥ 0; a, b…

A: 4. To show: -a+b≤a+b≤a+b Please post the multiple question separately.Here i answered 1st question…

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A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

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Q: Berno deposits $30,000 into an account paying 3.25% annual interest, compounded quarterly. How much…

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Q: A line L, passes through the points A(0, -3, 1) and B(-2, 5, 3). -2 (a) (i) Show that AB = 8 2 (ii)…

A: Given: A line L1 passes through the points A0,-3,1 and B-2,5,3. A line L2 has equation…

Q: B)Is w = Zez analytical function or not?

A: Find the steps below.

Q: Which of the following is correct for F (۲) ce (1) 0 s+) cety (1) - (۱)

A: We have to find the correct choice.

Q: Suppose that f: R2 → R is a function given by y³ x² + y² f(x, y) {+ for x = y = 0. Show that f(x, y)…

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Q: Task 1 A vibration signal was measured in a mechanical structure as f(t) = = 12cos (+). a)…

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Q: III. Find the following: i) ii) iii) v) vi) Sets 1. Let U= the set of all nonnegative real numbers…

A: Let U = the set of all non negative real numbers less than 10 i.e., U = [0,10)  (Note that, as the…

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Q: 1. Jdb 2. S dt 3. - 8xdx 4. S 6x² dx

A: Explanation of the answer is as follows

Q: Solve differential equation dy -(x²+y) x+siny

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Q: Q5A) Find volume of body from above Z=√4-x² - y² and below Z Triple integration. 1 using

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Q: let a=2+7i b=4-2i Choose the correct result of a/b O (6-361)/20 O (-6+361)/20 O (-6-36i)/20 O…

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Q: Find the singularity of the function f(z)=(e^z-1)/z at z=0.

A: I used the expansion of e^z to write f(z) in laurent series form.

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A: Please see the attachment