If a and b are complex numbers, prove that |a+b|<\a|+\b| .

Q: (1) Use the divergence theorem to evaluate F.S, where F (z, y, 2) = 2zi – ej+4zk and S is the surfac...

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Q: e 4. Solve: y" – 2y'+y=- t

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Q: Problem 2. Find all pairs (s, t) of Gaussian integers s, t e Z[i] that satisfy (7+4i)s+(11+2i)t = 3+...

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Q: 7. Which of the following is a loop? А E F Figure 1 A) BC B) DC C) AE D) None of the above

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Q: Show that if T is a tree on n > 3 vertices, then the average degree of vertices in T is not an integ...

A: We will use the fact that degree sum of vertices of a graph is twice the number of edges present in ...

Q: For each of these pairs of integers, determine whether they are congruent modulo 7. a) 1, 15 c) 2, 9...

A: Please find answer of all six question in next step

Q: Solve the linear system using Gaussian Elimination with Back Substitution 3a + 2b + 3c + 4d = 55 2a ...

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Q: Convert 527262746715, to X16 О ААВВСССDD О АВВACCDCD АВАВССDDC О ААССВВDDC О AADDCCСВ О АВАСВСDCD

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Q: 3. + ¿322 Simplify, i2016 + ¿2017 4. Evaluate, ¿15 (2+ i) (-i**) 3+i13

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Q: 0 1 8 If the matrix 1 8 0 is Hermitian, do problems 1 and 2 below: 8 08 1. Find the eigenvalues of t...

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Q: Find the particular solution of the differential equation using the method of undetermined coefficie...

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Q: For which integers c, 0<c < 30, does the congruence 12x == c (mod 30) have solutions? When there are...

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Q: The local newspaper is conducting a poll about how the residents of the city feel about the traffic ...

A: Given : The total number of people n=1805. Number of people responded=184 To find the margin error. ...

Q: BE f : C+ C GIVEN BY AND C IS THE CIRCLE OF CENTER IN z0 = a + br AND RADIUS r f(z) = z = + yr b 20 ...

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Q: IJJ is bou bounded and integrable on [a, b] Such that | f(x) | 0).

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Q: FIND THE ARC (z) OF THE POUOWING COMPLEX pumBERS.

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Q: Determine if this graph is - Planer - Connected - Simple

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Q: Show

A: We prove this statement by using definition of Borel Set.

Q: Determine the missing number in the sequence. 2, 5, 8, -- 14, 17

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Q: dx = In(F(x))+C. What is F (/3) if C=0? For (x+x³) (xtan='(x) + 1) A 3 B D) 3 -15

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Q: 1- e-z For the function f(z) : the point z = 0 is

A: Singularity of the function at point

Q: How many rows appear in a truth table for this compound propositions? (p → r) V (¬8 → ¬t) V (¬u → v)...

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Q: What is the negation of the proposition/statement: 10 > 14 ?   a. 10 < 14 b. 10 ≤ 14 c. 10 ≥ 14 ...

A: We have to find the negation of the given proposition/statement: 10&gt;14Negation will be the opposi...

Q: 1-cos 3t 1. Evaluate lim by constructing table of values. 3t t -1 -0.5 -0.01 -0.001 f(t) 1 0.5 0.01 ...

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Q: (a) Sum the series y = 1+2x + 3x² + 4x³ + • .. , lx| < 1. (b) If f(x) = xe-z/^ over the interval 0 <...

A: Thank you for the question. Answers for subparts a),c) and d) are given. Kindly repost the b) part a...

Q: Consider the experiment of rolling a pair of tetrahedron. a. Find the sample size. b. Find the eleme...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: 34. Let f(x) = x for x rational and f(x) = 0 for x irrational. %3D (a) Compute L(f, P) for all parti...

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Q: Find a general solution to the differential equation (implicit if necessary, explicit if dy possible...

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Q: 5- 25 + 4 (s + 1)(s + 2)°

A: This is a problem of Laplace Transform.

Q: (2– sec?x) eln (xle) sec(3A – x) 'sec³x What should be the value of A for to be integrable using the...

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Q: Consider the linear transformation T: R3 -> R4 in the image, such that where B= {(1, 0, 1), (-1, 0, ...

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Q: In a group of 500 students during vacation, 23% likes to go shopping only, 74% loves to stay at home...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: 22 23. Find the product. (-3x – 7)(5x + 8) 24. What's the equation of a horizontal line through the ...

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Q: b) z² = (x² + y²) – (x² + y²)²

A: see the attachments below

Q: Let C be the boundary curve counterclockwise of the semidisk æ? + y? 0. Then fc(-2ydx + 3xdy) 5dydx...

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Q: 3. An object at 50°F is put in an environment where the temperature is 100° F . After 5 minutes the ...

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Q: In (T/e) ( (2- sec?x)eme sec³x sec (зА - х) -dx to be integrable using the formula и" du? ? What sho...

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Q: Find the Laplace transform of: (a) cosh at (b) sinh at

A: Given (a)cosh at  and (b)sinh at We have to find the Laplace transform of them Remember(i)cosh=12(ex...

Q: a) Pablo stands on a high dive platform for several seconds. Then he dives into the pool and swims a...

A: We are given two situations and 4 choices of graphs each of which represents the situation. We need ...

Q: Kayla would like to have $10,000 saved 15 years from now. If she finds an account that offers a 3.50...

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Q: Fill in the blank: The dual of a linear programming problem have a finite optimal solution, then the...

A: Linear programming:

Q: plot parucul Solu 1. y" +3y' – 4y= sin wx, 2. y" +3y' – 4y = cos wx.

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Q: ac bc (mod mc). 14. Show that if a, b, and c are integers with c>0 such that a = b(mod c), then (a, ...

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Q: 10* -dx may be written as Aln secB" + tanB*| + where A, B, and C are constants not equal to zero. Ev...

A: First of all we solve the given integral and then compare it with given solution and get the value o...

Q: Find the equation of the tangent plane Pr to the surface S:x2 +y? + z2 = 9 at (2,-1, 2)

A:  To find :Equation of tangent plane to the surface x2+y2+z2=9 at the point (2,-1,2).

Q: 3. Use the Secant method on the circle function (x + 1)²+(y – 2)²= 16 to %3D find the intersection o...

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Q: E = 115,000ejo M = cosh (0.05 + j0.5) A = 400[cos(5) - jsin(5)] T = VM² –1 200,000,000ej0.241 H = ЗЕ...

A: Given that E=115,000ej0, M=cosh0.05+j0.5, A=400cos5-jsin5T=M2-1 and H=200,000,000ej0.2413E We have t...

Q: dx -= In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) A + - B 6. + 3 D + 6 + -15 -15 -15

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Q: Exercise 9.2.26. Given that 3 4 (;). A = and b = 2 3 (a) Use the encryption function f(p) = Ap + b t...

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Q: dx -= In(F (x))+C. What is F (/3) if C=0? For (x+x³) (xtan-'(x) + 1)

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