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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
![**Transcription for Educational Website**
---
**Problem Statement:**
Solve the equation for the indicated variable. Assume all variables are nonzero.
\[ d = s \sqrt{h} \]
for \( h \).
---
**Solution:**
\[ h = \]
(Simplify your answer.)
**Instructions:**
1. Begin by squaring both sides of the equation to eliminate the square root.
2. Rearrange the equation to solve for \( h \).
3. Ensure all variables remain nonzero throughout the manipulation.
**Note:**
This exercise involves algebraic manipulation to isolate a specific variable. Simplification is key in reaching the solution efficiently.
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff537747e-0d69-4ed8-ad12-350a5c79286a%2Fbb3c4c72-69ae-45d6-90dd-1629bb8b6d37%2Fsiqf4f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
**Problem Statement:**
Solve the equation for the indicated variable. Assume all variables are nonzero.
\[ d = s \sqrt{h} \]
for \( h \).
---
**Solution:**
\[ h = \]
(Simplify your answer.)
**Instructions:**
1. Begin by squaring both sides of the equation to eliminate the square root.
2. Rearrange the equation to solve for \( h \).
3. Ensure all variables remain nonzero throughout the manipulation.
**Note:**
This exercise involves algebraic manipulation to isolate a specific variable. Simplification is key in reaching the solution efficiently.
---
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