Suppose that z varies jointly with and y. Find the constant of proportionality k if z = 2470 when y = 20 and x = 19. k = Using the k from above write the variation equation in terms of and y. z = Using the k from above find z given that y = 42 and x = 25. Z= If needed, round answer to 3 decimal places. Enter DNE for Does Not Exist, oo for Infinity

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose that \( z \) varies jointly with \( x \) and \( y \).

**1. Find the constant of proportionality \( k \) if \( z = 2470 \) when \( y = 20 \) and \( x = 19 \).**

\( k = \) [  ]

**2. Using the \( k \) from above write the variation equation in terms of \( x \) and \( y \).**

\( z = \) [  ]

**3. Using the \( k \) from above find \( z \) given that \( y = 42 \) and \( x = 25 \).**

\( z = \) [  ]

---

If needed, round answer to 3 decimal places.  
Enter DNE for Does Not Exist, \(\infty\) for Infinity.

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Transcribed Image Text:Suppose that \( z \) varies jointly with \( x \) and \( y \). **1. Find the constant of proportionality \( k \) if \( z = 2470 \) when \( y = 20 \) and \( x = 19 \).** \( k = \) [ ] **2. Using the \( k \) from above write the variation equation in terms of \( x \) and \( y \).** \( z = \) [ ] **3. Using the \( k \) from above find \( z \) given that \( y = 42 \) and \( x = 25 \).** \( z = \) [ ] --- If needed, round answer to 3 decimal places. Enter DNE for Does Not Exist, \(\infty\) for Infinity. **Question Help:** - [ ] Message instructor - [ ] Calculator **Submit Question**
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