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Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 14.5 - Problem 55
Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 14.5 - Problem 55

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# Answer: Angular speed Consider the rotational velocity

ISBN: 9780321947345 167

## Solution for problem 55 Chapter 14.5

Calculus: Early Transcendentals | 2nd Edition

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Problem 55

Angular speed Consider the rotational velocity field v = 80, 10z, -10y9. If a paddle wheel is placed in the plane x + y + z = 1 with its axis normal to this plane, how fast does the paddle wheel spin (revolutions per unit time)?

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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

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