Solve the linear programming problem by the simplex method. Maximize 60x + 45y subject to the following constraints. x + y ≤ 7 -2x + 3y ≥ 15 x20, y20 The maximum value of M is which is attained for x = and y=

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A: 3. Given , , ,find vectors  and  so that  will be the transition matrix from the ordered basis ,…

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A: Let us solve above differential equation.

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A: Theorem: The necessary and sufficient condition for a sub set W of a vector soace V(F) is…

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Q: Prove or disprove: There exist odd integers a and b such that 4 | (3a² + b²).

A: In this problem we have to prove or disprove: There exist odd integers  and  such that

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A: Accounting to the given data, prove the given statement:

Q: Approximate 6² √1+x5 dx as indicated below. using the Trapezoidal Rule with n = 10: 6² √1+x5 dx = 1…

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A: A right circular cylinder solid has boundaries z=10,z=20, and ,Now let cylinderical coordinatesthe…

Q: Solve integral the integral x^3/sqrt(x^2+4) by using:  a) integration by parts  b) trigonemetirc…

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Q: Question 2: Solve the following questions. Question: Solve for x: log₂ (x) + log₂ (x + 4) = 3…

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Q: Problem #4: Consider (V xF).nds S where F = 4e²+² + 14e³¹ ji + In(+3) xos yk and S is the top half…

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Q: (13) Label each of the following statements as true or false. Prove your answers. (a) For all real…

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Q: . Let z ER\ {0}. What is the minimum value m ER of the expression 4x² + 91² ? mn =

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Q: Let n=326​,455​,1de be a​ base-ten numeral with d and e its last two digits. Give all of the choices…

A: For any given number n to be divisible by 12, it must be divisible by both 3 and 4.

Q: In AABC, vertex A is (1, 2). If the internal angle bisector ZB is 2x -y + 10 = 0 and the…

A: In triangle ABC , vertex A is (1,2). If the internal angle bisector of angle B  is2x - y + 10= 0…

Q: 1 Suppose that A is a 4×3 matrix. Denote the first, second and third column of A by ví, v and vž,…

A: (.) Given, is a  matrix and first , second & third columns of  are denoted by  &…

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A: Given equation of cone is Let,Let,Now Now

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A: The given compound statement is If x+3=8 ,then x=5

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Q: 3. Differentiate the following functions and state whether they have maxima or minima. a) y =…

A: 3) a) Given  that    Now, the above  function  is  defined  only when    Differentiating(1) with…

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A: The region is bounded by the curvesy=x4  ,  y=2  ,  x=0

Q: Solve the Cauchy-Euler equation 4t2y"-12ty' +20y=0 with intitial conditions y(1) = 5, y(1) = 6. y(t)…

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Q: Let q(n) be the sum of the squares of the first n odd numbers. For example: q(0)  =  0 q(1)  =…

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Q: A strain of bacteria is placed into a nutrient broth at 30° Time (hr), t Population (g), P C and…

A: Let us solve above problem.

Q: Determine whether the given set S is a subspace of the vector space V. A. V is the space of twice…

A: Note: As per our guidelines, we can solve first three sub parts. Please repost remaining parts.

Q: Consider the two functions y₁ = x² – 3 and y2 = b on the interval [-a, a], if a = 5.3. What value…

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Q: How are derivatives and second derivatives used to solve an optimization problem?

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Q: For the following system to be consistent, -5x- 7y-5z =-6 21x+27y+kz = 15 -3x - 3y+5z = 2 we must…

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Q: Consider two functions y₁ = : f(x) and y2 = g(x), and that y₁ ‡ y2 except where they intersect. If…

A: Consider two functions  and , and that  except where they intersect.If these two functions intersect…

Q: The solid E is bounded by the surfaces z = 0 and z = 25 - x^2 - y^2. Set up triple integrals to find…

A: From the given data the solid E is bounded by the surfaces z = 0 and .   so the  z limit is given…

Q: what wiill the graphical analysis look like

A: Draw the graph.

Q: 2. Determine a quadratic function in vertex form for each parabola. a) b) YA 0 -2 -6 N 2 + 5,0 ब Ax…

A: Since you have posted multiple questions, we will answer the first question for you, as per…