Q4: State the Fundamental Theorem of Independent of Path and Morera's Theorem. Why can't apply these theorems to compute the integral zdz, where C is closed contour.

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Q: Show that the two equations above reduce to 6x² - 43x+84 = 0 when perimeter = 12 and area = 7. Does…

A: Here we solve the second degree equation.

Q: 2. Evaluate the double integrals by iteration. whre B is the region 0 ≤ x ≤ 1, ² ≤ y ≤= ShžeaA dA

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Q: A number-theoretic function f is said to be multiplicative if f(m,n) = f(m)f(n): :Select one For all…

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Q: S 5. The distance between the points (sine,cos8) and (cose,-sine) is

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Q: (b) Which one of the following differential equations can be solved using the substitution approach?…

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Q: Use Jacobi and Gauss-Seidel Methods to solve the system of equations below: 4x1 – x2 – x3 = 3 -2x1…

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Q: 3 Find the directional derivatives of p = 8xyz³ - 2x²y²z² at the point (2,-1,1) in the direction 21…

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Q: A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held…

A: Let amount of salt in solution is x at any time t. Given information Initially, volume of solution…

Q: Solve the initial value problem ut +2ux = -tu(x, t), t> 0, x ER u(z,0) =sinx.

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Q: Q2/Solve the following equation from t=0 to 1 with step size is 0.5 using 4th order Runge-Kutta…

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Q: 2 I=S -1 e cosxde

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Q: 4 MAT21A/MAT216A/WIS31 20. To solve L[2cosh3(t-k).H(t-k)] = the following rule on the Laplace list…

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Q: 1. A dangerous toxic pollutant has been accidentally spilled in a lake. t = e4 The speed of water…

A: Using the properties of the logarithmic functions, it can be written that: ln e=1ln ab=bln a

Q: xy" + 2y + xy = 0 find two linear independent solutions by using Maclaurin series

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Q: Prove by mathematical induction that the sum of the first n even positive integers is n' +(2n) = n^2…

A: to prove 2+4+6+..2n=n2+n by induction  Prove the result is true for n=1 LHS  LHS = 2 RHS…

Q: 2 Find the volume of the parallelepiped whose edges are represented by A =î-13j+ 4k, B = 31+2j-7k…

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Q: Q13) A series is: Q.14) A sequence (()) a) converge by comparison test c) converge by integral test…

A: Here are the two solutions given below. Please go through .

Q: Q2) Choose the correct answer 1) The PERT method to solve? a) Game theory b) transportation model 2)…

A: 1) network analysis 2) maxmin=minmax 3)Lf 4) Vogels Approximation method 5) tp

Q: 5. Use the inverse of the matrix [32¹] to solve the system 3x1 x2 = 9 3x1₁+ 2x2=1

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Q: ? Question Use Mathematica to find the absolute extrema of f(x, y) = z²y³ – z on the domain D = [0,…

A: given, f(x,y)= x2y3 -x on the domain D=[0,1]×[0,2]

Q: y² + 3y - +3y² -2 = e. Sint by varition Method

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Q: Determine the solution of the given system of linear Ordinary Different Solve using Method of…

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Q: 9) + 16y(0) = 4 sec ³40 eral solution is y(0) =

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Q: Which of the following statements is true? O a) For a line of best fit, the sum of the residuals is…

A: Let us solve the problem regarding line of best fit in the next step.

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

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Q: Consider R² with the usual topology, let A and B be two subsets of R2. We denote the closure of a…

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Q: Question 2 Determine the Fourier series of the periodic function shown in Figure 2.1. 1.5 f(t) 1 0.5…

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: Solve the given initial value problem. y" + 6y' +34y=0, y(0)=2, y'(0) = -5 y(t) =

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Q: 9.9 The area of the shaded region shown in the figure can be calculated by: 4 = 1³² (-3²x²2+5) dx =…

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Q: Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 3î + 2j-7k…

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Q: solve by using substitution or elimination  by addition.   3x-2y=5  -6x+4y=-10

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: QUESTION 3 Using the following histogram of waiting times for patients at a health clinic, how many…

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Q: Consider the function f(x) = x³ + 2x + 5. Estimate the root to eight significant digits using Newton…

A: The general form of an equation of degree 3 is given by ax3+bx2+cx+d=0, where a≠0. In this problem,…

Q: Determine the solution of the given system of linear Ordinary Differential Equations. Solve using…

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Q: Determine whether the given functions are linearly dependent or linearly independent on the…

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Q: QUESTION 18 What can you say about the slope of the least-squares regression line in the scatterplot…

A: We have given graph of the least square regression line in the scatterplot. We have to decide the…

Q: 3 Find the directional derivatives of p = 8xyz³ - 2x²y²z2 at the point (2,-1,1) in the direction 213…

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Q: Using differentiation rule, find the derivative of the function ƒ (²) = [2 + (² ² + 1)²³ at _z = 1 +…

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Q: Solve the system of differential equations. 40 x' = [19] - 08 x₁ (0) = 2, x₂(0) = 12 x₁ (t) = x₂(t)…

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Q: Use induction to prove that 090 090 DAD DAD DÅ0 0:0 n 1 n = i(i+1) n+1 i=1 for all integers /…

A: This question related to mathematical induction.

Q: Identify whether the following graph is Eulerian or Hamiltonian. And Why ?

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

Q: Given the linear programming problem below, min z = 25x + 20y s. t. 3x + 6y = 120 2x+y > 50 x, y ≥ 0…

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Q: Which of the following binary operation is not closed in the set of real numbers? O a*b = √ab O a*b…

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Q: Online Course Selection Roughly 1 in 6 students enrolled in higher education took at least one…

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Q: 21, find expressions fo ebesgue measure scaled by

A: The probability is this defined probability measure will be given as Pω∈a,b=b-a3. Now, we can the…

Q: 7. Compute the area of the polygon with vertices at (6,1), (3,-10), (-3,-5) and (-2,0)

A: Given:  vertices of polygon (6,1), (3,-10), (-3,-5) and  (-2,0)To find: area of the polygon

Q: xy" + 2y + xy = 0 find two linear independent solutions by using Maclaurin series

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Q: 00 dollars to "wid

A: Answer= is 394 widgets in 100 dollar