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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![**Question:**
Find the general solution of the differential equation below and check the result by differentiation.
\[
\frac{dQ}{dx} = \frac{8}{5} x^{\frac{3}{5}}
\]
**Select one:**
a. \(\displaystyle Q(x) = \frac{24}{25} x^{\frac{-2}{5}} + C\)
b. \(\displaystyle Q(x) = \frac{8}{5} x^{3}\)
c. \(\displaystyle Q(x) = x^{\frac{8}{5}} + C\)
d. \(\displaystyle Q(x) = \frac{24}{25} x^{\frac{8}{5}} + C\) **Incorrect**
e. \(\displaystyle Q(x) = \frac{8}{5} x^{\frac{8}{5}} + C\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F466923f0-6f55-4935-bc1a-e5c184127f99%2F2295ede1-9858-4c2a-9db4-5761c8d1a2e9%2Fglnkmq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Find the general solution of the differential equation below and check the result by differentiation.
\[
\frac{dQ}{dx} = \frac{8}{5} x^{\frac{3}{5}}
\]
**Select one:**
a. \(\displaystyle Q(x) = \frac{24}{25} x^{\frac{-2}{5}} + C\)
b. \(\displaystyle Q(x) = \frac{8}{5} x^{3}\)
c. \(\displaystyle Q(x) = x^{\frac{8}{5}} + C\)
d. \(\displaystyle Q(x) = \frac{24}{25} x^{\frac{8}{5}} + C\) **Incorrect**
e. \(\displaystyle Q(x) = \frac{8}{5} x^{\frac{8}{5}} + C\)
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