×
Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 6.7 - Problem 58
Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 6.7 - Problem 58

×

# Coiling a rope A 60-m-long, 9.4-mm-diameter rope hangs

ISBN: 9780321947345 167

## Solution for problem 58 Chapter 6.7

Calculus: Early Transcendentals | 2nd Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Calculus: Early Transcendentals | 2nd Edition

4 5 1 241 Reviews
27
1
Problem 58

Coiling a rope A 60-m-long, 9.4-mm-diameter rope hangs free from a ledge. The density of the rope is 55 g>m. How much work is needed to pull the entire rope to the ledge?

Step-by-Step Solution:
Step 1 of 3

Calculus notes for week of 9/19/16 3.6 Derivatives as Rates of Change Velocity is measured as: V ave(t+∆t) or s(b) – s(a) ∆t b – a (Change in position over change in time.) S’’(t) = V’(t) = A(t) (From left to right: S=Position, V= Velocity, and A=Acceleration) Average and Marginal Cost Suppose C(x) gives the total cost to produce x units of a good cost. Sometimes, C(x) = FC + VC * x FC = Fixed cost which does not change with units produced. VC = Variable cost which is the cost to produce each unit. C(x) = Average cost. C’(x) = Marginal cost, which is approximately the extra cost to produce one more unit beyond x units. C’(x) = lim C(x+∆x) – C(x) ∆x>0 ∆x 3.7 Chain Rule How do we differentiate a composi

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321947345

The answer to “Coiling a rope A 60-m-long, 9.4-mm-diameter rope hangs free from a ledge. The density of the rope is 55 g>m. How much work is needed to pull the entire rope to the ledge?” is broken down into a number of easy to follow steps, and 33 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. Since the solution to 58 from 6.7 chapter was answered, more than 265 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 58 from chapter: 6.7 was answered by , our top Calculus solution expert on 12/23/17, 04:24PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 128 chapters, and 9720 solutions.

#### Related chapters

Unlock Textbook Solution