The mathematics department is hiring a new faculty member and the five person hiring committee has interviewed our candidates Adam, Carol and On They decided to send the five ballots (reproduced in the following table). Who gets the offer?

Q: MAΤΗ Μ413 DANIELE ROSSO HW 12 (1) Prove that the function f(r) = is not uniformly contimuous on (0,…

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Q: Show that COS x dx a² – x² sin a 2а where a is some positive number.

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Q: Example 12. Write z = 6(cos 150° + i sin 150°) in rectangular form.

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Q: Ans: 2x(x- a)y' = y(3x- 2a) 7. The cubics cy² = x² (x – a) with a held fixed.

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Q: Q2) Find the optimal solution using simplex method Max z = 8x, + 10x, + 7x3 s.t: 4x, + 6x2 + 3x3 5…

A: The problem is max z=8x1+10x2+7x3 subject to 4x1+6x2+3x3≤607x1+2x2+5x3≤406x1+6x2+9x3≤36…

Q: SET-UP the double integral that solves for the volume of the solid:

A: To find the volume of the solid using double integral of the region bounded by below surfaces in the…

Q: Problem 1. For this problem, let A := |0 1 0 2 1 2 O WeightedOrderAlg.java - Notepad File Edit…

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Q: Compute the line integral -xdy + ydx 2(x-y)2 + 4xy where L is the circle (1-x)2 + y? 3 with a…

A: We will find parametric equation of L and then convert whole equation in parametric form

Q: 6. A sensor is attached to a spring and its velocity is given by the function v(t) = cos(2t) feet…

A: Derivative of velocity function gives displacement function of a body.

Q: Assume that  dx1/dt= x1(2-x1)-x1x2 dx2/dt= x1x2-x2 a) Graph the zero isoclines. b) Show that (1,…

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Q: Consider the polar curve r= 2 sin(0) + 3 ,0ses27, whose plot is shown below. 2.0 1.5 1.0 0.5…

A: Given that: r=2sinθ+3, 0≤θ≤2π

Q: 1. pv(~ рӨq) P ( ~p q) V F F 2

A: The logical symbol "∨" is used to denote "OR". The logical symbol "⊕" is used to denote "XOR". The…

Q: The initial tableau of a linear programming problem is given. Use the simplex method to solv…

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Q: ter performing the calculations, swap the order of integration and count the integral again.

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Q: (х-3) (х+1) f(x) = %| (х-2)(х+2)(х+1)

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Q: Find the orthogonal projection of -14 = -14 onto the subspace W of Rª spanned by and -2 projw(v) = 2…

A: To find The orthogonal projection of v onto the subspace of W of R^4 spanned by the given vectors.

Q: y= cos(2r) The initial interval is [0.8,

A: Follow the python script.

Q: Let X be the graph of f(x) = r/ given below that is, X is the subset of R x R satisfying the given…

A: Sol

Q: 2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx Given a equivalence class [a]…

A: Sol

Q: 2. An international airline has a regulation that each passenger can carry a suitcase having the sum…

A: Denote the width, length, and height by W, L, and H, respectively  We may as well assume that W + L…

Q: For the given matrices, verify directly that (RS)* = S*R* and (EP)* = P*E* %3D 1 2 3 i R = S = 3i 4…

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Q: B. Temperatures in degrees Celsius (C) may be changed to degrees Fahrenheit (F) by using the formula…

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Q: Repeat Ql with Ax= 0.05, 0.025, 0.0123 and determine whether the convergence with Ax is consistent…

A: "Since you have asked multiple questions, according to our guidelines we will solve only the first…

Q: es/ find the incdence madrix of K2,3

A: As per the company rule, we are supposed to solve the first problem mentioned from a set of multiple…

Q: (a) Let m be a positive constant. Calculate the Fourier Transform Ü(§) of e-m|x| U(x) x E R³. |x|…

A: Sol

Q: Consider the ceiling function [æ] = min{z € Z\z > a}. This basically rounds up any real number. For…

A: To show that  limx→2x does not exist.

Q: 1. Let X be the graph of f(r) = r given below that is, X is the subset of R x R satisfying the given…

A: Sol

Q: 3 1 -1 1 tA = [1 B= [0 1 ‚ nd the least-squares solution to the equation Ax = B.

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Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: The equation of the given quadric surface is z=xy2. A generalization of the conic section in the…

Q: QUESTION 3 Select the expression that is equal to 12P4 12 x 11 x 10 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5…

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Q: 1 2 2 3 and b = 7 Consider a linear system Ax = b where A = 4 1. Find the reduced row echelon form…

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Q: Differentiate Numerical Methods and Analytical Methods

A: Sol

Q: equilibrium

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Q: 1. Find the maximum value of r+y subject to the constraint r + y? = 18.

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Q: 25.2 Solve the following problem over the interval from x 0 to 1 using a step size of 0.25 where…

A: Part (a) Analytically

Q: (i) Use Euclid's algorithm to find a multiplicative inverse of 23 modulo 75, and hence solve the…

A: This is a problem of Number theory, counting, and modular arithmatic.

Q: Let v be a vector in R" and define a function T, : R" → R by T,(x) = x v. (a) Show that T, is a…

A: here we can use simple conditions that if a linear function preserve scalar multiplication and…

Q: (2x + x²y³)dx + (r³y² + 4y³)dy = 0 %3D

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Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the |…

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Q: Let X be the graph of f(x) given below that is, X is the subset of R x R satisfying the given…

A: Sol

Q: Hu2 Evatuate khe faltowing cartesian integrats by changing them inte equivalent Pelar integrals:…

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Q: thi.2 Evatuate the foltawingcartesian integrats by changing them inte equivalent Pelar integrals: 2.…

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Q: N-1 N, k-r = mN, m an integer | Se-i(27/N)(k-r)n n=0 0, otherwise

A: To prove: ∑n=0N-1e-j2πNk-rn=N,k-r=mN, m is an integer0,otherwise

Q: An international airline has a regulation that cach passenger can carry a suitcase having the sum of…

A: Here first we need to find the value of volume in terms of two dimensions using the given relation…

Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+2y+ 4z = 12

A: We have given a tetrahedron 3x+2y+4z=12 Volume of tetrahedron bounded by the coordinate planes and…

Q: Solve the system of equations by graphing: S-3y + 6x 18 %3D 2x 6 If the system is inconsistent (has…

A: Solution:    (x,y)= (x, 2x-6)

Q: herz Evaluate the fultowing carteSian integrats by changing them inte equivalent Pelar integralsa…

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Q: 2. 1.89 VRMS, 1 VAVE,

A: Sol

Q: Determine the inward column and the outer row for the following linear programming problem Max (Z) =…

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Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: The slope of the surface z=f(x, y) at x0, y0 in the x-direction is fxx0, y0. The slope of the…