Evaluate f. f(x,y) ds where C is the piecewise curve composed of the line

Q: Let f(x) = x³ +x + 4 and g(x) = 3x + 2 in Zs[x]. Then, upon dividing f(x) by g(x), we get None of…

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Q: One of the following is False:

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Q: 1. State whether or not each diagram in the figure below defines a function from A = {a, b, c} into…

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Q: The solution of the equation Log(z² – 1) = in is

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Q: (3) The von Mangoldt function A is defined by log(p), if n = p*; where p is a prime, and k > 1; A(n)…

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Q: Prove that y is a negative Cauchy sequence if and only if -y is said to be a positive Cauchy…

A: We need to prove that y is a negative Cauchy sequence if and only if -y is a positive Cauchy…

Q: Question 11 : Determine whether the given two matrices are similar : [o -1 [2 0 1 A = 2 1 1 and B =…

A: To check if the matrices are similar or not A=201211010 and B=0-1112001-1

Q: Find the area of the region that lies indie the circle r = 3 sin 0 and outside the cardioid r = 1 +…

A: To find the area of the region that lies inside the circle r = 3 sinθ and outside the cardioid…

Q: (a) Find a power series representation for f(x) x2 (b) By differentiating the power series obtained…

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Q: Determine if the graph shown below is Eulerian or Not * Eulerian

A: The graph is Eulerian if every vertex has even degree. Calculate the degree of each vertex of the…

Q: 3. You are loading a cargo of cases into a hold which has a bale cubic of 48,000. The cargo consists…

A: Please post the multiple parts separately.Here I answered 1st question i.e,(3) only as per our…

Q: Prove that the property of being a tautology is hereditary under the Rule of Substitution.

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Q: nomial series to expan

A: Given, the function               9(4+x)3

Q: The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can…

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Q: 4. A weighted voting system for voters A, B, C, D and E is given by {36:30, 12, 9, 5, 3} . The…

A: Given, Weighted Voting System : 36:30,12, 9, 5, 3 To find: a) Total number of coalitions…

Q: 3. Lagrange Interpolating Polynomial (. Find the second degree Lagrange Interpolating polynomial…

A: Given, f(x)=sin(πx)x0=1 , x1=1.25 , x2=1.6 To find: Second degree Lagrange Interpolating Polynomial…

Q: 4. Find the Linearization of f (x) sinx at a Provide your answer as L(x) =?

A: The given problem is to find the linearization of the given function at given point. Given…

Q: FIs () Use spherical coordinates to evaluate 1- av where the solid E lies above the cone z=V+y*,…

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Q: 4. Confirm Stokes' theorem for the vector field F(x.y.z)= (0, yz, xz) for the plane surface z =1-y…

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Q: -1: [8X1 marks] Let P, Q, R and S be the propositions: P: "Ahmad comes to the party", Q: "Salim…

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Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 where x…

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Q: Let vn = be the solution to the discrete dynamical system: Yn 6xn – 13yn Yn+1 = 0xn – 7yn Xn+1 -3 If…

A: Using diagonalisation of the coefficients matrix.

Q: 2.) Test the series for convergence or divergence. a0 sin(n+)* Hint: Use the Alternating series…

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Q: Q3) Given the following Z-transform which is factored using partial fraction expansion, then В + z2…

A: Solution

Q: Question 17 Find the solution. (4D3 - 3D + 1)y=0 (A y = (c, +c,)e*/½+c,e* y = (c,+c,)xe'/½+c;e¬2 -2x…

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Q: Solve the following SLP y" + ày = 0 y(0) = y(1) = 0

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, 2,…

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Q: Suppose that you were trying to use the Putzer method to exponentiate the matrix A which has…

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Q: 1) Show that F is conservative the find a function f such that F = Vf and use that function to…

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Q: Suppose that you were trying to use the Putzer method to exponentiate the matrix A which has…

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Q: Suppose that for a company manufacturing​ calculators, the​ cost, revenue, and profit equations are…

A: Given:  C=70,000+30x, R=200x−x220,P=R−C, where the production output in 1 week is x calculators. To…

Q: 3.48. Find the Laplace transform of x(1)=(e" cos 2r – Se *ju(1) +*u(-1)

A: The given problem is to find the Laplace transform of the given time function. Given…

Q: Find the extrema of the function below 10 - (x-5)²- (y+3)²

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Q: 3) Show that the line integral is independent of path and then evaluate the inte S, sin y dx + (x…

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Q: Prove that ord,(a + b) > min(ord,a, ord,b) with equality holds if ord,a ± ord,b.

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Q: Find the absolute maximum and the absolute minimum of f(x,y,z) =x+y+? subject to the constraints g…

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Q: Use the power series =o(– 1)"x" to determine a power series centered at 0 for the function f(x) =-…

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Q: 3. Determine the slope of the tangent at x = -1 on the graph f(x) = (5x² + 1)3.

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Q: ) Consider the following differential equation, with time domainte (0, 1): Sy - (' sin y(s) ds +t²,…

A: We are given the following differential equation with time domain t∈0, 1.…

Q: n the sketch at right, lines a, b, and c represent railroad tracks. Which of t arallel? Use angles…

A: Find the measure of angle 1 70°+∠1=180° straight angle Therefore ∠1=180°-70°∠1=110°  similarly find…

Q: (-1) n=0 n!T(1+v+n) 1. Let J,(x) = £ (5)2n+v be the Bessel function of the %3D first kind of order…

A: Given: Jv(x)=∑n=0∞-1nn!Γ1+v+nx22n+v To show: J-12(x)=2πxcos(x)

Q: Let C be the unit circle oriented in the counterclockwise direction. Calculate the outward flux of…

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Q: Re ( Which of the following function is harmonic in the C- {0}: cos . Re (- ez O Re(z²) cos . Im (-…

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Q: ) Find the general solution U(x,y) to the second order partial differential equation Uxy = 0.

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Q: A rectangular box has a square base with edges at least 10 cm long. It has no top, and the total…

A: Given: Square base of the box is 10 cm. Total area of 5 sides is 600 cm sq.

Q: Problem 7. Let X be a set. Suppose dı and d2 are two different metrics on X and there exists…

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Q: For f(z) = 2e'the value oflog(S(z)) is

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Q: Exercise 3: Solve the heat equation on the square [0, 7] × [0, 71] subject to the following bound-…

A: The given problem is to solve the given 2 dimensional heat equation partial differential equation…

Q: using wronskian show that each of the following sets of functions is linearly dependent {cos2x,cos^2…

A: Two functions f(x) and g(x) are linearly dependent if one can be written as a constant (non-zero)…

Q: f(x)= sen (2x) f(x)= sen (2x) On = 0 f(0n) = sen(2x0) = 0 = 3.9269 %3D %3D %3D = 0.7853 4…

A: The given function is fx=sin2x