Use Green's Theorem to evaluate the line integral along the given positively oriented curve. S. cos y dx + x* sin y dy, C is the rectangle with vertices (0, 0), (5, 0), (5, 2), and (0, 2)

Q: Perform the following conversions 185.7510 to binary, octal and hexadecimal

A: The given decimal number is                                    185.7510

Q: Determine all minors and cofactors of [6 3 A = 1 -8 -2 1

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Q: Use any variable to rewrite the following sentences to mathematical statements Two numbers…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Q2 Calculate the power series solution of the differential equation of y' – y = e* up to the five…

A: Powers series solution of the differential equation

Q: Show that r =1+i, x2 = 1- i is a solution of (3+ i)x1 + (1+ i)x2 = 4 + 4i

A: The solution is given as

Q: Calculate the power series solution of the differential equation of y'- y=e* up to the five terms. 1…

A: Calculate the power series solution of the differential equation of y'- y = e^x up to the five…

Q: 1. Find the volume. 3im 4 cm 5 cm 9. 6 im

A: Volume of prism = Area of Base × Height In this case, Area of base is area of equilateral triangle.

Q: (*) 3. Let 2 = {A, |n = 1, 2, 3, ...}, where A, Find UN and N2, then !! %3D prove your conjecture.

A: We solve this problem using the basic properties of union and intersection. Also some basic steps of…

Q: Use the total enumeration method to solve the problem below.   Amy, Jim, John, and Kelly are…

A: Given- Amy, Jin, John, and Kelly are standing on the east bank of a river and wish to cross to the…

Q: 24. Let f be an arithmetical function (not ne multiplicative arithmetical function g s S fl(k,n)) =…

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Q: ledsuisve don oa.2+XS3V bas I+xS+ Sx = vd bsmmol A ball is thrown vertically upward from the ground…

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Q: Let the region R be the area enclosed by the function f(x) = 2x and g(x) = 3x. If the region R is…

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Q: Use Stokes's Theorem to evaluate F. dr. In this case, C is oriented counterclockwise as viewed from…

A: Using the Parametric equation of the plane.containing the triangle

Q: O Design the network represents the following activities and then finds the critical path. Activity…

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Q: Karina plays a video game that is scored by round. In about 500 rounds, her career average is 202…

A: Given: μ= 20σ=5 Formula used: μx= μ σx = σn

Q: f (1, 2) = 3 and the derivative of the function f in the i + j direction at the point (1, 2) is 0.7.…

A: Given that f1,2=3 and derivative of the function f in the i+j direction at the point 1,2 is 0.7. We…

Q: Problem 1C. Solve the system of linear equations using Crout's LU Decomposition. [X1 X2 11 -10 -2…

A: Given11-10-22-178-11844-194-1-5x1x2x3x4=-116615Here,A = 11-10-22-178-11844-194-1-5 , X = x1x2x3x4…

Q: Find an Euler Circuit for the following graph. Start and finish at the star

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Q: Let R be a ring such that for each a e R there exists XE R such that a'x = a. Prove the following :…

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Q: Determine whether the Existence and Uniqueness of Solution Theorem implies that the given ihitial…

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Q: three candidates were interviewed by  24 reviewers. 11 approved of A, B approved of B, 11 approved…

A: Introduction: Venn diagrams are diagrams that are used to visually represent sets, relationships…

Q: Let n be a positive integer. Which among the following statements is true? n + 1 and n + 2 are…

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Q: FIND THE INVERSE LAPLACE OF : 2-5s F(s) (s-6)(s´+11)

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Q: a) Specify whether the following axioms are true or false. An LP problem is an optimization problem…

A: Introduction: Linear Programming Problems in mathematics are a system process of determining the…

Q: sket ch for 15e level fucting Surface for Ihe function =カ+ (コ-2)-2

A: The level surfaces of the function: w=f(x,y,z) results, when w=k slices the function: w=f(x,y,z).…

Q: Sx, ifx 1 f(x) = Show that f is R- integrable.

A: R- integrable function

Q: f(x) 5 5 5 Interval: 0 <x<3

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Q: a) Given the vectors in M22 . 1 1 2 3 31 22 1 2 21 Show that they are linearly independent. b) Find…

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Q: Invalidity: Use the finite universe method to show that the following symbolic arguments are…

A: Hi! As per norms, we will be answering only the first question. If you need an answer to other…

Q: Determine the inverse Laplace transform of the function below. 7. Click here to view the table of…

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Q: 5x +2 Let x #-1 be a real number and f(x) = x+1 Then f(x) is

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Q: Simplify: (3 – 4i) (6 + 2i).

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Q: (b) Solve the following second order homogeneous linear differential equation if the 4 initial…

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Q: 00 Does the series E (- 1)n+12 + n° nº converge absolutely, converge conditionally, or diverge? n=1…

A: The given series is                                   ∑n=1∞(-1)n+12+n3n4

Q: Give the following system (M). x = 2(mod 13) x = 1(mod 14) x = 3(mod 15) x = 2(mod 16) Which among…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Determine the vector field of F. F(x, y) = 12i – 4j 1

A: We will find a vector parallel to given vector to draw vector field

Q: 4. Find the temperature in a perfectly insulted bar with c=1, u,(0,t) =u,(T,t)=0 and u(x,0) = 3x

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Q: Determine the dimensionalitics of all the irreps of D4 and D6 where De D3 x C2

A: We will use the basic knowledge of irreducible representations of finite groups to answer this…

Q: 3. A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

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Q: wiganvectors of the matrix A which corespond to the eigervalues, -1, A- 1, and dy - 2, respectively,…

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Q: Given the following set of the vectors from M22 1 1 0 0 10 S 0 0 0 1 11 In order to check whether…

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Q: Four legged animals Tun with two types of motion:trotting and galloping.An animal that is trotting…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: Find the Macdaurin series of / (by any method). ) - costr) Find the radius of convergence, R. R…

A: Given that fx=cosx2

Q: Grinsen banmutation (92 3) 965)(1 487) O Expruss as a puoduct of diejoint cycles O what or der of…

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Q: 2. Susan decides to open a math tutoring center. She found a nice office that she can lease for $400…

A: Given, She pays 400 dollars for office per month and charge 25 dollar per hour for her tutoring…

Q: s a. Show the transformations required to turn the following sequence into Tn = 0,1,3, 6, 10, 15,…

A: A sequence is a collection of numbers (or other items such as geometric objects) that follow a…

Q: you save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account…

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Q: Convert the following rectangular coordinate to two polar coordinates (all angles need to be between…

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Q: Obtain the general solution to the equation. dy + 9x +8 - dx The general solution is y(x) = ,…

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Q: Let a and b be positive integers such that ax + by %3D 7 for some integers x and y. Then O…

A: Greatest common divisior:  Let a and b be two integers such that gcd(a,b)=d if  d|a and d|b If…