Industry Sectors Service Trade and Transporation Total sector United States Total Employment 68% 96,871,795 19% 26,469,950 100% 139,103,773 2010 percentag 87,425,645 24,442,734 127,820,442 2020 percentage of ti Change 69% 19% 100%

Q: 5. Residue theorem (a) +²+1 Jo° ±1 dt. +4+1 Use the residue theorem to compute

A: We have given integral∫0∞t2+1t4+1 We need  to use residue theorem to compute integral.

Q: Find the value of k for which the vectors and 4 -4 are orthogonal. k =

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Q: Let S be the solid which occupies the region in the first octant enclosed by the planes x = 0, y =…

A: Mass of the palnes bounded by first octent

Q: 2. Find the images of the mapping W= z2 of the line y = 2.

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Q: . "Hand-in question": Find the extremal y € C²[0, 1] of the functional J(y) = (2x + (1/)²) dx, that…

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Q: Determine if the following series converges. If the series converges, determine if it converges…

A: The given series is ∑k=1∞k!kk+1 To find: the above series is converges or not.

Q: О 1 A = -4 7 ix? -2 5 -8 3 -6 9

A: Solution

Q: Let f (x, y, z) be a function such that : (i) the function f (x, y, z) decreases most rapidly at the…

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Q: Verify that the indicated function is an explicit solution of the given differential equation.…

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Q: From Rogawski 2e section 5.5, exercise 2. A population of insects increases at a rate of 290 +6t +…

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Q: find the arca of he shaded regon. Ue a calcularor apter xmng up tde integal. cos 20

A: Let r1=cos2θ and r2=2cosθ. We know that a polar coordinate is represented as r, θ, where r=x2+y2 and…

Q: 6. y = -sin (²x) III Thre KIN 플 X

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Q: Construct a formal proof of validity of the following arguments using the rules of inference and/or…

A: Please look into the next step for detailed answer

Q: =H.w.2 Evaluate the following cartesian integrals by - changing them into equivalent Polar integrals…

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Q: Problem 8: Graph one complete cycle only, making sure that amplitude, period, and phase shift are…

A: Concept:  Standard form of equation is: fx=asinbx+c+d Here a is the amplitude. Period=2πb C…

Q: Select the FIRST correct reason why the given series converges. A. Convergent geometric series B.…

A: We will use corresponding test to check series convergent or not .  Note: maximum 3 sub part are…

Q: Find an equation of the tangent plane and find a set of symmetric equations for the normal line to…

A: To find the equation of tangent plane.

Q: 77 The value of definite integral (a) 2 (b) 3 x²x² +1 (+(²2-0²-1))) ₁ (c) 8 + ln x dx is equal to:…

A: To find- The value of definite integral ∫13x2x2+1 + lnx2x2x2+1 dx is equal to: 2 3 8 13

Q: Carol has written a number pattern that begins with 1, 3, 6, 10, 15. If she continues this pattern,…

A: given pattern  1, 3, 6, 10, ...........

Q: Sketch the graphs of the following cylinders. Properly identify a cross-section on the appropriate…

A: Given: Let's consider the given equation and graph the following cylinders. y=2x-4

Q: Find the coordinates of the intersection points A and B, between the closed curve (x + 1)² + 4(y-1)²…

A: In this question, we can find the intersection points of the given curve. Using the equation of…

Q: the system of linear equations. (If the system is dependent, express your answer in terms of t,…

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Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

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Q: 0. When a circular shield of bronze is heated over a fire, its area increases at a rate of…

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Q: A line intercepts the x-axis at x = 3 and the y-axis at y = 8. What is the equation of the line?

A: We want to find the equation of line.

Q: Minz = S. to X₁ + 2x₂ 2X1- X₁ + 3 X. 7, Xz

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: 23. Differentiate. M(x) = 12(x + 2)³ sech x

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Q: Let J = √x² + y2 + z² dV, Where E is the region given by : E x² + y² + z² ≤2 Expressed in Spherical…

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Q: a) Use the total differential dz to approximate Az. Use f(2,1) and f(2.12, 1.09) where f(x,y) = x…

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Q: find an bound on me crror that can upper result if cos x is approximated by: over the in trval…

A: To find- Find an upper bound on the error that can result if cosx is approximated by: 1 - x22! +…

Q: 3 3 11 А %3D 1 3 1 1 1 3 А

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Q: What is the coeficient of 3 in the binomial expansion of 2x 233-2 ° -(5)-243-1 3x ?

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Q: 1 using the divided-differences method. Consider the function f(x) =, rE-1,1]. Construct the…

A: Given function is fx=21+x2, x∈-1,1. We have to construct the interpolation polynomial which…

Q: ci Consider the following system: da =-2r (a) Sketch the phase portrait for this system on the axes…

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Q: /xy2. +xzu+yv2-3 = 0 The system of equations: |6x3y2 + 2xv - 3u²v2 - 5 = 0 - can be solved for y and…

A: Given system of equations xy2+xzu+yv2-3=06x3yz+2xv-3u2v2-5=0          .......(1) where x,u and v are…

Q: Let A be a non-empty set of positive numbers, which is B={re R:1/xe A}. Prove that B is bounded…

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Q: 4. A 2 kg mass is attached to a spring whose constant is 6 N/m, and the entire system is submerged…

A: Note: We are entitled to solve only one question at a time and up to 3 subparts only. As the…

Q: Prove that: Theorem 3: Let G be a group and let a be a non-identity element of G. Then |a| = 2 if…

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Q: 4. The graph of y = f(x) is shown at the right. Assuming the least possible degree, which of the…

A: We have to determine the false statement regarding the function y=fx. Clearly, the function is a…

Q: =H.w.2 Evaluate the following cartesian integrals by - changing them into equivalent Polar integrals…

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Q: (c) Express 6x-5 in partial fractions and hence evaluate: (x-4)(x²+3) -6 6 x-5 dx √≤ (x−4)(x²+3)

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Q: Let = {a,b}. Prove the equivalence: b + ε*bab((ab)*)* = b(ab)*.

A: We are going to prove that L.H.S = R.H.S

Q: Solve each linear system below. Give a geometric interpretation of each system, by describing the…

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Q: Use three-point midpoint formula to evaluate the first derivative of y=x2+5x−1y=x2+5x−1 at x=0x=0…

A: Given function is y=x2+5x−1. We have to evaluate the first derivative of y=x2+5x−1 at x=0 using a…

Q: n the first row of the table you can see the given characters, in the second, you can see how often…

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Q: Write down the trigonometric Fourier series representation of the following signal: x(1),

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Q: A pair of honest dice is rolled, and the number on each die is noted. 29) Which of the following…

A: Given a pair of dice is rolled.

Q: A = {1, 2, 3, 4} B = {2, 4, 6, 8} 26. Conjoining strings {(x,x) & A} 27. String concatenation {(x,…

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Q: Question 16 6 -65 A₁ = 1.9, A2 = 0.9, A3 = 0.4, Vv₁ = ------- -6, V₂ = V3 , and xo = 11 -11 Consider…

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Q: Use Stokes' Theorem to evaluate ſc F. dr. C is oriented counterclockwise as viewed from above. F(x,…

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