6.2 Find minimizers and maximizers of the function 1 1 f(x₁, x2) = x³ - 4x₁ + - 16x2.

Q: Can you please explain more? Cus the Generator matrix G should be a matrix whose each entry is an…

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Q: 2. Let f be defined for all x € R, x = -3, by f(x) = x²+x-6. Can ƒ be defined at x = -3 in such a…

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Q: 2 ----- etermine if w= 2 is in Nul A, where A = -2 -2 8-2-3 -2 2-5 5

A: Given,           Is w is Nul A?

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A: Grabel is dumped at a rate of  cubic feet per minutes.It form a pile in the shape of a right…

Q: 3. Solve the differential equation subject to the given conditions. d² y dx² a) b) d² y dx² +36y= 0,…

A: As you didn't mention the question number to be solved so I solved two questions. For remaining…

Q: Suppose that we are interested in the quantity g(x) = 2 + x − 3x³ + 4√√x for large x's. Write the…

A: For large x, the dominant term in . Therefore, the best big-oh notation for g(x) is O()​.To see this…

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A: Let us solve above line integrals.

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Q: Look at the graph of f(x) = x² +1. What is the average rate of change between [-1,3]? 401 Look at…

A: Given thatThe graph of And the table isxy-416-2400416We have to find the average rate of change…

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Q: Let V1, V2, V3 be a basis of a vector space V over R. Is V1 + V2, V2 + 2v3, v3 + 3v₁ also a basis?…

A: Given: Let  and  be a basis of vector space  over We have to check  is also a basis or not.and also…

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Q: 14. Find the absolute maximum and minimum values of f(x,y) = x²y² + xy³ - 8xy² on the closed…

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Q: 1. Prove that converges. (hint: use the fact that 2n > n4 for all n> 100)

A: Since you have posted a multiple question according to guidelines I will solve first(Q1) question…

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A: To find the linear combination of v as a,b,c we assume the linear combinationv=ax+by+cz then find…

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Q: functions f(x) and g(x) with given equations, we'll use the vertex form of a quadratic equation: y =…

A: The equation of parabola is of the form y−k=a(x−h)2 . Where Vertex : (h,k)Axis of symmetry : x=hIf…

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A: Recall  the  fact  that a  homogenous  differential  equations are  equation that  contains…

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A: Given that .We need to find the image under  of the rectangle .We know that, for a positive real…

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A: We have to find:

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Q: 4. Consider the quadratic equation x² + Bx + C = 0. Suppose that I choose B and C independently from…

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A: The given vectors, and .The aim is to find the vector  in the set generated by .

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A: Here we choose that value of L for which the given function y(x) satisfy ODE 9y+ y"= 0

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Q: 6. Why do we need to determine restrictions on rational functions?

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A: , for all sets and .We have to prove .

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Q: Below are the instructions to calculate taxes due at the 2022 Tax Rate Schedule for people filing as…

A: To find the tax amount for these taxable incomes of .

Q: Here is the original LP max z= 3x₁ + 2x₂ s.t. 2x1 + x2 I1+I₂ I1 and the optimal tableau: <100 ≤80…

A: An LP is given and the optimal tableau.The objective is to find:The allowable increase in constraint…

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Q: Let Y be an infinite subset of a compact set X CR. Prove Y' 0.

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Q: Solve the following system of linear equations. Justify your answer. x₁ + x₂ + x3 + x4 = 5, -2x1 +…

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A: We solve given ordinary differential equation by method of separation of variable.