# Consider The Following. W = Yz/X, X = Θ2, Y = R + 7θ, Z = R − 7θ (A) Find ∂W/∂R And ∂W/∂Θ By Using The Appropriate Chain

Consider The Following. W = Yz/X, X = Θ2, Y = R + 7θ, Z = R − 7θ (A) Find ∂W/∂R And ∂W/∂Θ By Using The Appropriate Chain

1) Consider the following.

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w = yz/x, x = θ2y = r + 7θz = r − 7θ

(a) Find ∂w/∂r and ∂w/∂θ by using the appropriate Chain Rule.

 ∂w ∂r
=
 ∂w ∂θ
=

(b) Find ∂w/∂r and ∂w/∂θ by converting w to a function of r and θ before differentiating.

 ∂w ∂r
=
 ∂w ∂θ
=

2) Evaluate fxfy and fz at the given point.

f(xyz) = x2y3 + 7xyz − 5yz, (−1, 2, 1)

 fx(−1, 2, 1) =
 fy(−1, 2, 1) =

3) For f(xy), find all values of x and y such that fx(xy) = 0 and fy(xy) = 0 simultaneously.

f(xy) = x2 + 4xy + y2 − 18x − 12y + 14

(xy) =
The text passage contains multiple mathematical questions, each with a specific task to solve, such as finding partial derivatives and evaluating functions at given points.
multiple_questions
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Consider The Following. W = Yz/X, X = Θ2, Y = R + 7θ, Z = R − 7θ (A) Find ∂W/∂R And ∂W/∂Θ By Using The Appropriate Chain

Consider The Following. W = Yz/X, X = Θ2, Y = R + 7θ, Z = R − 7θ (A) Find ∂W/∂R And ∂W/∂Θ By Using The Appropriate Chain

1) Consider the following.

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Hire a Pro to Write You a 100% Plagiarism-Free Paper.

w = yz/x, x = θ2y = r + 7θz = r − 7θ

(a) Find ∂w/∂r and ∂w/∂θ by using the appropriate Chain Rule.

 ∂w ∂r
=
 ∂w ∂θ
=

(b) Find ∂w/∂r and ∂w/∂θ by converting w to a function of r and θ before differentiating.

 ∂w ∂r
=
 ∂w ∂θ
=

2) Evaluate fxfy and fz at the given point.

f(xyz) = x2y3 + 7xyz − 5yz, (−1, 2, 1)

 fx(−1, 2, 1) =
 fy(−1, 2, 1) =

3) For f(xy), find all values of x and y such that fx(xy) = 0 and fy(xy) = 0 simultaneously.

f(xy) = x2 + 4xy + y2 − 18x − 12y + 14

(xy) =
user
The text passage contains multiple mathematical questions, each with a specific task to solve, such as finding partial derivatives and evaluating functions at given points.

TYPE: MULTIPLE_QUESTIONS