Suppose that the cost of drilling x feet for an oil well is C = f(x) dollars. hat are the units of f '(x)? (Write each word in its entirety, in lower case). you've already drilled 560 feet, estimate the cost of drilling an additional foot if f '(560) = 20

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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**Problem Statement:**

Suppose that the cost of drilling \( x \) feet for an oil well is \( C = f(x) \) dollars.

(a) What are the units of \( f'(x) \)? (Write each word in its entirety, in lower case).

Units: \_\_\_\_\_ / \_\_\_\_\_

(b) If you've already drilled 560 feet, estimate the cost of drilling an additional foot if \( f'(560) = 2000 \).

Cost: \_\_\_\_\_
Transcribed Image Text:**Problem Statement:** Suppose that the cost of drilling \( x \) feet for an oil well is \( C = f(x) \) dollars. (a) What are the units of \( f'(x) \)? (Write each word in its entirety, in lower case). Units: \_\_\_\_\_ / \_\_\_\_\_ (b) If you've already drilled 560 feet, estimate the cost of drilling an additional foot if \( f'(560) = 2000 \). Cost: \_\_\_\_\_
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