Please explain and solve w steps, thank you

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: A) x" + 4x' + 13x = te¯t, x(0) = 0, x'(0) = 2

A: We have to solve the given problem by Laplace transform.

Q: True or False? a1 a2 independent. If True b₁ # 0, then the subset {(a₁, a2), (b₁,b₂)} of R² is…

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Q: Use two instances of the step-function H(r) to write this as a single function of t. Hence obtain…

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Q: Question 18 Tiki torches are found to last an average of 360 minutes and be normally distributed.…

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Q: Integrating Factors Found by Inspection 5. (x²y²*² +ay)dx+(x™¹³y² +bx)dy=0. State the condition of…

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Q: IV. Numerical Integration - Find the area bounded by the curve f(x) = (sin x)/x from - 2 to 2

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Q: Prove in details 3 -=S (jr 820 81 (n+3) mer لمی 13ة

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Q: 02/05 The set of basis vectors {V₁, V₂, V3} are augmented to form Matrix A. Which of the following…

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Q: TWO SIDES OF A PLANE Let ax + by + cz+d=0 be the plane. Then the points (x₁, 7₁, Z₁) and ax+by+cz₁+d…

A: Answer given below.

Q: 2- Find the centroid of the region in the first quarter bounded above by the line y=2x and below by…

A: The given problem is to find the centroid of the region in the first quarter bounded above by the…

Q: If (G, *) is an infinite cyclic group, then (G, *) (Z, +). Select one: O True O False

A: Given the statement if G, * is an infinite cyclic group then G, *≅ℤ, +. To determine whether the…

Q: mear ODE Find the general solution y(t) of the DE dtª - 4y=e¹.

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Q: 14. Determine which of the following series converge absolutely, converge conditionally or which…

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Q: Inflation has been running 4% per year. A car now costs $30,000. How much (in dollars) would it have…

A: Inflation has been running 4% per year. A car now costs $30,000. How much (in dollars) would it have…

Q: B. Find the volume of the indicated solid i) under z = x² - y² and above the square R = [1,3] ×…

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Q: Find the indicated vector. tu= [4] ₁v = [7]· F Let -34 °[-2] ° [⁹] 1 . Find 9u - 2v.

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Q: Problem I f(t) to F(s) Use tables 12.1 and 12.2 from the textbook to find: L { of cor wt} Use…

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Q: c) Solve the given differential equation 2y" 14y' +24y = 2e-3x - by variation of parameters, subject…

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Q: Use Venn diagrams to illustrate the following identity for subsets A and B of S. (AUB)' = A' B' De…

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Q: 18. An ecologist has received permission to fence in a small rectangular plot of land at a state…

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Q: - State and prose the Pythagorean Theorem

A: We have to state and prove the Pythagorean Theorem.

Q: Consider the system of linear equations (3 ↓) (²¹) = (-3¹) 36 x₁ = -3/5, x₂ = 4/5 and the Jacobi…

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Q: 16. Use your calculator to make two lists and a scatterplot for the data below. Find both the linear…

A: The given table of values, x y 0 $22600 1 $18500 2 $16000 3 $15100 4 $14200 5 $13300…

Q: Find the sum of the series. ∞ (−1)n 2nx2n n!   n = 0

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: Let A = {m ∈ Z|m = 4k + 8} where k ∈ Z, and let B = {n ∈ Z|n = 2r + 2} where r ∈ Z. Show |A| = |B|.

A: Let A = {m ∈ Z|m = 4k + 8} where k ∈ Z and let B = {n ∈ Z|n = 2r + 2} where r ∈ Z.  We now show that…

Q: z lnx ds where C is the line segment from C (-1,3,5) to (3,0,-2). DO NOT evaluate the integral. Make…

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Q: We shall show that I is generated by a singleton set

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Q: 3. Prove VnEZ, 4n|n² +5

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Q: Consider the following system. dx dt dy dt = 6x + 5y K = = -2x + 8y Find the eigenvalues of the…

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: II. ROOT FINDING METHOD - Find the root of e-²x - e-x-2.

A: The given problem is to find the root of the given equation by using the Newton raphson method for 5…

Q: Simulate a ball dropped from 100 m over 10 s a. Plot the position vs. time b. Plot the velocity vs.…

A: Given: Acceleration of the ball is given asx''t=-9.81 with initial condition x(0) = 100. Our aim is…

Q: 1. Consider the region bounded by y = e-* + 1, y = 2 and x = 3. a. Sketch the region. Do not forget…

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Q: 9. For this problem we consider Zx Z as a free Z-module (a) Prove that the set {(1, 1), (1, 2)} is a…

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Q: Consider two real systems, say Ax = b and Cy = the two systems have the samenonempty solution en, is…

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Q: The rank of an m × n matrix A is 3. Which of the following statements is true? The matrix A must be…

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Q: 1. Find an of the plane that contains the line of intersection between the planes 2x−y+z=4, x+y−2z=5…

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Q: • Formulate the system as x = Ax, by explicitly writing out the matrix A. • Find the eigenvalues and…

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Q: [1/2e 10 Determine the limit of this transform as e 0+ and discuss the result xe |xc|> €* Find the…

A: to find the Fourier transform of the function.

Q: 36. Use the portion of the stock table shown below to answer the questions that follow. Round dollar…

A: Close column represents closing price of the stock.

Q: Find the area of region enclosed by x = t-tº, y=t-t³, 0≤ t ≤ 1 using Green's Theorem.

A: to find the area by green theorem

Q: Let A = B = C = {x 1 x is a real number}. Let f: A → B and g: B → C be defined as follows: f(a) 2a…

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Q: Using Stokes' theorem, solve the line integral of G(x, y, z) - (1, x + yz, xy-√z) around the…

A: We will use stokes theorem to solve integral  by using ∫∫SF.dS=∫∫DF.n dA where D is projection of S…

Q: Your friend's cat has kittens! The cat has a litter of 5 kittens and 2 of the kittens are male and 3…

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Q: The Intrepid is a World War II U.S. aircraft carrier that has been preserved and is docked at the…

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Q: 11//(S²+S+1) Find the transfer function, G(s) = VR(S)/Vi(s)

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Q: Suppose that f(x, y) = x² − xy + y² = 5x + 5y with D = {(x, y) | 0 ≤ y ≤ x ≤ 5}. 1. The critical…

A: Given: fx, y=x2-xy+y2-5x+5y,  D=x, y|0≤y≤x≤5 To find:  1. The critical point of f(x, y).  2.…

Q: Find a particular solution to y" 10y +25y = -6e5t t² + 1

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