2. The Dual model a. Is derived systematically from the Primal model b. provides the decision maker with a new approach towards problem solving. c. has no relation with Primal LP models d. a & b. Page 1 of 8

Q: 1. Use the Cauchy-Riemann conditions to find out whether the following functions are analytic. a.…

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Q: 2. Evaluate L |x² − 1|dx. -2

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Q: F(s) = = S (s+1)5

A: We find the inverse laplace of  F(s)=s/(s+1)5

Q: (a) Define a metric space (X, p). (b) Let p: R+ → R+ be a function defined by ln (2). Prove that p…

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Q: 5.(- Let the surface S be the graph of the function z = g(x, y) = x + y over the unit disk D:+y² ≤1.…

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Q: . Consider the parabola C: z-4 = -(x - 2)² on the xz-plane. 1. Find the center-radius form of the…

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Q: Use the intercept form to find the general form of the equation of the line with the given…

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Q: enough protein and iron to meet at least the DOH recommended daily allowance (RDA) for each…

A: The linear program using the Simplex method as,

Q: 0 KIN 2 ²S² 0 0 p2 sin r dễ dr d

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Q: 3.0 Let T: R³ R be a temperature function defined as T(x, y, z) = x² - y² + 2xyz. Find the heat flux…

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Q: 1- Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x)

A: Sol

Q: Consider the market for lollies where if the price per lolly is $4, total market demand for lollies…

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Q: G1 is a semi-circle Y = √4 - X² starting at (2, zero) ends at (-2, zero) while G2 is a directed line…

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Q: in fuzzy graph What is the nonseparable or block in fuzzy graph? And give an examples

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Q: in fuzzy graph What is the fuzzy trees ? And give an examples

A: We have to define fuzzy tree with example.

Q: 1. Consider a circle of radius 6 with center at the origin. a. Lines with slopes 1 and -1 each…

A: The point symmetric about x-axis of (x,y) is (x,-y) The point symmetric about y-axis of (x,y) is…

Q: Exercise Determine the approximate solution of the following initial value problems using Euler's…

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Q: Let S {(a,b): a,be R, a 0}. Show that the relation R defined on S by (a, b) R(c,d) if = ad be is an…

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Q: A car drived 50 km on a bearing of 125°. If its position is defined in terms of Cartesian…

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Q: || -1 2 II [1 2 - 4 - 3 2 6 -1 REF of A, what is A13? REF of B, what is B12? AT, what is A¹ 22? 0 -…

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Q: Find the volume of the solid generated by revolving the area bounded by x² − 2kx − 3ky + k² = 0 and…

A: Please see the attachment

Q: Prove: if a sequence is defined recursively by a₁ =1 and an = n/(n-1) an-1 for n≥ 2 then an-n for…

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Q: Find the volume of the solid bounded by the paraboloid z= 32-8x²-8y² and the plane z=0

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Q: Q₂) Find $dz 1. around unit circle of radius 1 and center at (0, 0) counterclockwise. 2. By using…

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Q: 3) Given Over what area are we theorem. 1 y(0) = 1 guaranteed a unique solution? Explain using…

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Q: 1 : Prove that the function f(x,x)= defined on the domain , is a convex function. For this purpose,…

A: Here we find  determinant of the hessian matrix. Which is positive on its Domain.

Q: 3.) Find the DFT of f = [1 -2 1 2]!

A: Sol

Q: y = log₂ (log₂x) The slope of the tangent line to the given curve at its x-intercept is:

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Q: 4 3 3 Let A = -1 1 0 4 4 5 Use determinants to decide whether the matrix is invertible. Enter the…

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Q: find for y dy dx x sinx (x-1) (x²+1) Evaluate f(u² + 2u + 3)7 (u + 1)du

A: To find the derivative of a composite function and the integration by substitution method.

Q: Use the given equation to answer the following questions. 7tan(x)=17 (a) Find all solutions of the…

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Q: 3. Verify Stokes' Theorem for the vector field F= 2zi +3xj+5yk, taking S to be a portion of the…

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Q: Find the smallest number of colors that can be used to color the map. So that any to state sharing a…

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Q: capable of handling decision probl

A: To choose the correct option.

Q: -1 1 1 1 1 1 −1 1 1 1 -1 -1 1 -1 1 and B = -1 1-1 1 -1 -1 1 5 k -1 1 5 k h all values of the…

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Q: Find the arc length parameter along the given curve from the point where t=0 by evaluating the…

A: To find the arc length of the given parametric curve.

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

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Q: For each part below, consider the area enclosed between the curves y = 2+1, from 1 = 0 to x = 3/1/2…

A: Note: As per the guidelines we are supposed to answer only 3 subparts question. Please upload it…

Q: Q2.) Determine if f(x) is convex, concave, or none of these also state if it attains a max. or a…

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Q: Using the geometric sequence find a10 1,1/5,1/25,1/125... a10=___

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Q: Which of the following is the homogeneous differential equation? A. (3x - 5)dx = (4y - 1)dy B. xydx-…

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Q: Show that the vector-valued function shown below describes the motion of a particle moving in a…

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Q: The function f(x) = x² + 1 is Bijection from R to R

A: This is a question from the function.

Q: Find the equation of the straight line parallel to the line 2x + 3y = −4; containing the point (−5,…

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Q: a. In n In(n+1) {")-1} = {"}

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Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: Sol

Q: NEED FULLY CORRECT HANDWRITTEN SOLUTION FOR THIS ASAP... Please be fast and I'll rate positive for…

A: Given- Let y = 16 and u = 5-7.  To find- Write y as the sum of two orthogonal vectors, one in Span u…

Q: 11. Consider the function defined by f(x) = e-x². i. ii. iii. Using the Maclaurin series expansion…

A: The given problem is to find the Maclaurin series of given function and also evaluate the integral…

Q: Problem 3: Consider the second-order linear initial value problem: x²y" + cos(x) y = 0, y(1) = 0…

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Q: The differential equation formed by eliminating a and b from y = ae* + be* is

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