Pls choose the diagram. Thank you & I will give thumbs up. **Instructions:**Draw a dependency diagram, and write a chain rule formula for \(\frac{\partial p}{\partial m}\) and \(\frac{\partial p}{\partial n}\), where \(p = g(u, v, w)\), \(u = h(m, n)\), \(v = f(m, n)\), and \(w = k(m, n)\).**Chain Rule Options:**1. \[ \frac{\partial p}{\partial m} = \frac{\partial p}{\partial u} \frac{\partial u}{\partial m} + \frac{\partial p}{\partial v} \frac{\partial v}{\partial m} + \frac{\partial p}{\partial w} \frac{\partial w}{\partial m} \]2. \[ \frac{\partial p}{\partial m} = \frac{\partial p}{\partial u} \frac{\partial u}{\partial m} \]3. \[ \frac{\partial p}{\partial m} = \frac{\partial p}{\partial u} \frac{\partial u}{\partial v} \frac{\partial v}{\partial w} \frac{\partial w}{\partial m} \]**Choose the correct dependency diagram for \(\frac{\partial p}{\partial n}\).****Diagram Options:**- **A.** The diagram is structured as a tree: - \(p = g(u, v, w)\) - branches to \(u\) with \(\frac{\partial p}{\partial u}\), and further branches to \(\frac{\partial u}{\partial m}\) and \(\frac{\partial u}{\partial n}\) for variables \(m\) and \(n\).- **B.** The diagram is structured as a diamond: - \(p = g(u, v, w)\) - connects to \(u\) and \(v\), continuing to \(\frac{\partial p}{\partial u}\) and \(\frac{\partial p}{\partial v}\) on the top, and \(n\) at the bottom connected by \(\frac{\partial u}{\partial n}\) and \(\frac{\partial w}{\partial m}\).- **C.** The diagram is structured as an inverted diamond:

Answered: Image /qna-images/answer/f9eceff7-c07f-43e8-8821-7fccf58497ba.jpg

др Draw a dependency diagram, and write a chain rule formula for and əm up am = с. др др ди = am du am ןןן OD. ap ap du av dw am du av aw am Bu am up uu υμων du am av dm = др Choose the correct dependency diagram for on O A. p=g(u,v,w) u - ap au au an up w dw dm n O B. p=g(u,v,w) ap Bu u au an n dp an ap 8v V 8w 8m where p = g(u,v,w), u=h(m,n), v= f(m,n), and w=k(m,n). O C. ap au u au an p=g(u,v,w) ap av V av an n ap aw W aw an

др Draw a dependency diagram, and write a chain rule formula for and əm up am = с. др др ди = am du am ןןן OD. ap ap du av dw am du av aw am Bu am up uu υμων du am av dm = др Choose the correct dependency diagram for on O A. p=g(u,v,w) u - ap au au an up w dw dm n O B. p=g(u,v,w) ap Bu u au an n dp an ap 8v V 8w 8m where p = g(u,v,w), u=h(m,n), v= f(m,n), and w=k(m,n). O C. ap au u au an p=g(u,v,w) ap av V av an n ap aw W aw an

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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