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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Transcribed Image Text:**Question 37:**
Find the derivative of \( y = z \tanh^{-1} z + \ln \sqrt{1-z^2} \).
a. \(\tanh^{-1} z\)
b. \(\sinh^{-1} z\)
c. \(\cosh^{-1} z\)
d. \(\coth^{-1} z\)
e. \(\tanh^{-1} 2z\)

Transcribed Image Text:21. Use differentials to estimate the amount of cubic meters of paint needed to apply a coat of paint 0.18 cm thick to a hemispherical dome with diameter 60 meters.:*
- a. \(2.52\pi\)
- b. \(3.24\pi\)
- c. \(3.82\pi\)
- d. \(2.28\pi\)
- e. \(4.11\pi\)
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