Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Minimize f(x, y, z) = x2 + y2 + z? Constraint: x + y + z – 18 = 0 f( ) =

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A: The given problem is solved below in detail.

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Q: 28) S idx=f /2dx, 28) B)5/2.C D)글지/2.c 29) J 3.²dx=. 29) A) x3 B 3x2 + C C) 6x + C D) x3 + C 30)5sin...

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A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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A: Given y=fu and u=gx, to find dydx by using Leibniz's notation for the chain rule: dydx=dydududx.y=5u...

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A: Solving integral 

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Q: 2. Let C be the graph of the equation In(3y – 2e*) = sinh (Tx) – tan(y – 1) dy (a) Find dx (b) Find ...

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A: We will answer to the question 4a only as it is mentioned and demanded. 

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A: see below the answer and explanation

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Q: 39. Using Properties of Definite Integrals Given L fe) dx = 10 and fe) dx = 3 evaluate (a) dx. (b) d...

A: Given query is to find the value of indicated integrals.

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A: Given: f(x)=x2+3Interval:[0,2]n=4

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A: Given: f(x)=17. g(x)=6sin 2x h(x)=3cos²x

Q: 8. 6. If f(r) = 5 cot +4, then find the value of f'(-9) is -5 82 V82 82 V 82

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Q: II. Solve the following problems. 1. Find the equation of the ellipse with foci at (-2,0) and (2,3) ...

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Q: Find the average value of f(r) =x-4 on the interval [1, 5]. Give the exact answer in the simplest fo...

A: To Find : Average value of the function f(x)=x-4 on the interval [1,5]   Note : The average value of...

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

Q: 2. Solve the following differential equations. (a) y' = x2 – xy+ 1. (Hint: Consider the subsitution ...

A: Both the parts have been solved in detail. 

Q: r(x)=(6−x)3 Step 1 of 2 :   Determine the more basic function that has been shifted, reflected, str...

A: Solved below

Q: dy = 3y + 2t dt %3D Given the above differential equation with the initial condition y(t=D0) = 5.0 a...

A: Solution is written in below steps.

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Q: You forgot to answer: Use the trigonometric identity for cos0/sin0. 1/sin0 - sin0 = ____?

A: Use the trigonometric identity for cos0/sin0. 1/sin0 - sin0 = ____?

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A: The answer is in step 2.

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