Numerade

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Use Lagrange Multipliers to find the dimensions of a rectangular box, open at the top, with volume 6912 cm³ requiring the least amount of material for its construction. Let x = width of the box, y = length of the box, z = height of the box. (a) Find the function f(x, y, z) representing the surface area of the box as a function of x, y and z. f(x, y, z) = xy + 2xz + 2yz (b) Expressing the constraint in the form g(x, y, z) = 0, find g(x, y, z). g(x, y, z) = xy + 2xz + 2yz (c) Find ∇f. ∇f = < (d) Find ∇g. ∇g = (e) Enter the dimensions of the box, separated by a comma.

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Suppose a country has a rule that a newborn child may have either one, two or three names.) If parents were to choose from a list of 50 names, how many choices would they have when naming their child?

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If a solid line represents a covalent bond and a dotted line represents intermolecular attraction, which of the choices shows a hydrogen bond? H-H $H_4C \cdots H-F$ $H_2O \cdots H-CH_3$ $H_3N \cdots H-O-H$ Incorrect Answer

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What is the name of the process during which a bond between two monomers is broken? O dehydration combustion O hydrolysis condensation

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A social worker who manages a refugee resettlement agency determines after surveying her staff and convening several meetings with community partners and clients, that refugee clients are consistently being rejected for mental health services due to the agencies not wanting to offer an interpreter. Knowing that this behavior is against civil rights laws, the social worker sets out to convene a meeting with local mental health agency representative to educate them on the law and explore ways to resolve this matter. This is an example of all of the social work practice behaviors described below EXCEPT: Group of answer choices Develop mutually agreed-on intervention goals and objectives based on the critical assessment of strengths, needs, and challenges within clients and constituencies Social workers understanding the forms and mechanisms of oppression and discrimination Social workers negotiate, mediate, and advocate for clients Social workers advocating for human rights and social and economic justice

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A patient has been recently diagnosed with lung cancer after a very long history of heavy smoking. If you were to sequence the tumor, what kind of DNA mutations would you primarily expect to see? Group of answer choices Somatic mutations Inherited mutations

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log_{\sqrt{7}} 19 \\ log_{\sqrt{7}} 19 = \\ (Simplify your answer. Do not round until the final answer. Then round to four decimal places as needed.)

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Xe is element number 54 and has 8 stable isotopes. How many does the next element, Cs, have?

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The law of demand is illustrated by: Select the correct answer below: a perfectly horizontal demand curve the point of intersection of the supply curve and the demand curve the downward slope of the demand curve the upward slope of the demand curve

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Find the resultant hydrostatic force applied on the dam. Where is its application point? The dam is constructed as a quarter circle. The radius a and the width of the dam are given in the following table.

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