41. Maximize Q = xy, where 3x + 4y 24. 3.5] = x² - 2y where 42. Find the minimum value ol (O x-2y 1. [3.5) For each function, find any absolute extrema over the indicated interval Indicate the x-value at which each extremum occurs. Where no interval is specified, use the real line. [3.4]

Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with x² + y² ≤ 25. 1. Absolute minimum of f(x, y) is…

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Q: 8. What is the minimum value of the function defined by y = cosx + 4? В. З A. 2 C. 4 D. 5

A: Given- y=cosx+4 To find- The minimum value of the expression.

Q: х? +x — 12 minimum point of y x2 – 4 -15.75, -1.03 О 0.25, 2.96 O 15.75, 1.03 -0.25, -2.96

A: y=x2+x-12x2-4 Differentiate both side ,we get  dydx=-x2+16x-4x2-42  Now, put equal to 0…

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Q: 10. If the minimum of the function y =x 2-4x+21 occurs at x = 2, what are the coordinates of the…

A: We have to find mimimum point

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Q: # 13) Find two positive numbers x and y for which 2x +y = 30 such that xy² is maximized.

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Q: If f'(x) = x - 2x-x +2, thenf has a relative minimum at x= -2 O0 0 O0

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Q: d) Consider the following equation of non-negative integers, x1, 12, T3 Ssuch that r1+12+ T3 = 20.…

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Q: Maximize Q = xy, where x and y are positive numbers such that x+3y 16. The maximum value of Q is and…

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Q: 8, find the the function maximum value of +(x, y,Z) 2179`x+ 2y -12+7 subJect to Constrain t+3 +2² =…

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Q: Suppose that f(z, y) – e ¯4r² - 4y² - z + 2y Then the maximum is

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Q: Find the local minimum value of f(x, y) = 4 + a" + yl – 11ry.

A: Use double derivatives test to find local maximum or minima.

Q: For function f(x,y) to have minimum value at (a,b) value is? 1) rt - s>0 and r0 and r>0 3) rt - s?0…

A: For a function fx,y to have minimum value at a,b, which of the given condition is true? 1)…

Q: (6x+19)^3+30 and R(0)=0R(0

A: Application of integration: R'(x)=-36(6x+19)3+30R(0)=0Let 6x+19=z       6dx=dz

Q: Find the value of x and y which satisfy 2x + 3y = 8 and whose product is a minimum.

A: To solve the following problem

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Q: The first provider can provide at most 5 tons, and the second one at most 3 tons. Finally, in order…

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Q: 1. Suppose that f(x) = -ar/2 + bæ/2. Reparameterize this function in terms of the location of the…

A: given fx=-ax32+bx12 differentiate the function with respect to x f'x=-32ax32-1+12bx12-1…

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Q: 4 ース -where do es t have relahive minimums ? the relahi ve minimum is which occuRs at X= where does…

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Q: 9. The average revenue function of x units of product is R(x)=-mx+n,where m and n are constants. a)…

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Q: True or False: The linear function y = mx + b , where m ≠ 0 has no maximum value on any open…

A: true, the function y = mx +c has no maximum value in any open interval Reason: the graph of y = mx+c…

Q: 4 3.2x Y=x'e write the point where it is the absolute minimum with and Coordinetes. the

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Q: Consider the Cobb-Douglas production function f(x, y) = 100x1/3y2/3 where x is the number of units…

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Q: Find all points (x,y) where f(x.y) has a possible relative maximum or minimum. f(x.y) = x* - 32xy +…

A: Solution:Given thatfx,y=x4 -32xy+8y2-10we have to find all points x,y where fx,y has a possible…

Q: 2. Find the orthogonal trajectories of the family of curves x2 + y² = 2my where m is a constant.

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Q: 10. If the minimum of the function y =x 2 –4x+21 occurs at x =2, what are the coordinates of the…

A: In the question , it is already given that minimum is occurring at x = 2 So, just put the value x =…

Q: Consider the Cobb-Douglas production function f(x, y) = 100x1/3y2/3 where x is the number of units…

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Q: Suppose that f(x, y) = x² – ry + y² – 5x + 5y with x² + y? < 52. 1. Absolute minimum of f(x, y) is…

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Q: Find the critical points, and using the second derivative, determine if it corresponds to a minimum,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: C' (x) = 20 200

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Q: Find minimum and maximum for the function 6 x + 4 y under conditions: x2 0; yz 0; -x+y s 12; x+ys…

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Q: The time (in hours) that a branch of Amalgamated Entities needs to spend to meet the quota set by…

A: T(x, y)=x4+16y4-32xy+43Tx =4x3+0-32y(1)+0Tx=4x3-32yTxx =12x2-0Txx =12 x2Ty…

Q: 2. Determine the critical points of the function: R(y) : y2 – 6y -

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Q: Find and classify the critical points of the function f(x, y) = x³ – 10.5æ? – y? + 5 - -

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Q: Suppose that f(x, y) = 4x* + 4y* – 2ry Then the minimum is

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Q: Find the point where the minimum value of f(x, y) = xy subject to y = 90 – x occurs.

A: Find the point where the function f(x,y)=xy subject to y=90-x2 attains its minimum value.

Q: 4. Determine the minimum value of the function y = f(x) defined implicitly in the equation x² + 3xy…

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Q: Find the points at which y=f(x)=x^9−17x has a global maximum and minimum on the interval 0≤x≤4.…

A: To determine the global maximum and minimum.

Q: 4 Suppose that f(x, y) = x* + y* – xy Then the minimum is 0

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you…

Q: For the function f(x,y) = –2x² – 3xy – y? – 3x, does the critical point (6, –9) correspond to a…

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Q: Suppose that f(x, y) = x² + y² at which 0 < x, y and 5x + 6y < 7. 1. Absolute minimum of f(x, y) is…

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Q: If 0 = KHLV-, where k is a constant, and there are possible errors of ±1 per cent in measuring H, L…

A: We will find out the required value.