Suppose p² = 3x³ P=9 x=3 de 2 = 4 : Find: dx dt

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...
Question
The image presents a mathematical problem involving derivatives and rates of change. Here is the transcription:

**Problem Statement:**

Suppose:
- \( p = 9 \)
- \( x = 3 \)
- \( \frac{dp}{dt} = 4 \)

Given the equation:
\[ p^2 = 3x^3 \]

**Objective:**

Find:
\[ \frac{dx}{dt} \]

The objective is to determine the rate of change of \( x \) with respect to \( t \), given the above conditions and values.
Transcribed Image Text:The image presents a mathematical problem involving derivatives and rates of change. Here is the transcription: **Problem Statement:** Suppose: - \( p = 9 \) - \( x = 3 \) - \( \frac{dp}{dt} = 4 \) Given the equation: \[ p^2 = 3x^3 \] **Objective:** Find: \[ \frac{dx}{dt} \] The objective is to determine the rate of change of \( x \) with respect to \( t \), given the above conditions and values.
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