APPLIED CALCULUS-PRINT COMPANION (LL)
APPLIED CALCULUS-PRINT COMPANION (LL)
6th Edition
ISBN: 9781119275565
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 3.4, Problem 46P

(a)

To determine

To find:

The method in way it is possible for the total cholesterol of the patient to increase but the cholesterol ratio to remain constant if cholesterol ratio is given by the ratio of good cholesterol G(t) to the total cholesterol R(t)=G(t)T(t). The safety situation is when the cholesterol ratio is R(t)>15.

(b)

To determine

To calculate:

The rate of change of total cholesterol level in the first week of the diet. On January 1, the total cholesterol is 120 mgdl and the good cholesterol level is 30 mgdl Although the cholesterol ratio is in safety limit but the doctor prefers that the good cholesterol increases with 40 mgdl. In order to change the diet-plan the good cholesterol needs to change with the rate 1 mgdl. Cholesterol ratio is given by the ratio of good cholesterol G(t) to the total cholesterol R(t)=G(t)T(t). The safety situation is when the cholesterol ratio is R(t)>15.

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Question 1: If a barometer were built using oil (p = 0.92 g/cm³) instead of mercury (p = 13.6 g/cm³), would the column of oil be higher than, lower than, or the same as the column of mercury at 1.00 atm? If the level is different, by what factor? Explain. (5 pts) Solution: A barometer works based on the principle that the pressure exerted by the liquid column balances atmospheric pressure. The pressure is given by: P = pgh Since the atmospheric pressure remains constant (P = 1.00 atm), the height of the liquid column is inversely proportional to its density: Step 1: Given Data PHg hol=hgx Poil • Density of mercury: PHg = 13.6 g/cm³ Density of oil: Poil = 0.92 g/cm³ • Standard height of mercury at 1.00 atm: hμg Step 2: Compute Height of Oil = 760 mm = 0.760 m 13.6 hoil = 0.760 x 0.92 hoil = 0.760 × 14.78 hoil = 11.23 m Step 3: Compare Heights Since oil is less dense than mercury, the column of oil must be much taller than that of mercury. The factor by which it is taller is: Final…

Chapter 3 Solutions

APPLIED CALCULUS-PRINT COMPANION (LL)

Ch. 3.1 - Prob. 11PCh. 3.1 - Prob. 12PCh. 3.1 - Prob. 13PCh. 3.1 - Prob. 14PCh. 3.1 - Prob. 15PCh. 3.1 - Prob. 16PCh. 3.1 - Prob. 17PCh. 3.1 - Prob. 18PCh. 3.1 - Prob. 19PCh. 3.1 - Prob. 20PCh. 3.1 - Prob. 21PCh. 3.1 - Prob. 22PCh. 3.1 - Prob. 23PCh. 3.1 - Prob. 24PCh. 3.1 - Prob. 25PCh. 3.1 - Prob. 26PCh. 3.1 - Prob. 27PCh. 3.1 - Prob. 28PCh. 3.1 - Prob. 29PCh. 3.1 - Prob. 30PCh. 3.1 - Prob. 31PCh. 3.1 - Prob. 32PCh. 3.1 - Prob. 33PCh. 3.1 - Prob. 34PCh. 3.1 - Prob. 35PCh. 3.1 - Prob. 36PCh. 3.1 - Prob. 37PCh. 3.1 - Prob. 38PCh. 3.1 - Prob. 39PCh. 3.1 - Prob. 40PCh. 3.1 - Prob. 41PCh. 3.1 - Prob. 42PCh. 3.1 - Prob. 43PCh. 3.1 - Prob. 44PCh. 3.1 - Prob. 45PCh. 3.1 - Prob. 46PCh. 3.1 - Prob. 47PCh. 3.1 - Prob. 48PCh. 3.1 - Prob. 49PCh. 3.1 - Prob. 50PCh. 3.1 - Prob. 51PCh. 3.1 - Prob. 52PCh. 3.1 - Prob. 53PCh. 3.1 - Prob. 54PCh. 3.1 - Prob. 55PCh. 3.1 - Prob. 56PCh. 3.1 - Prob. 57PCh. 3.1 - Prob. 58PCh. 3.1 - Prob. 59PCh. 3.1 - Prob. 60PCh. 3.1 - Prob. 61PCh. 3.1 - Prob. 62PCh. 3.1 - Prob. 63PCh. 3.1 - Prob. 64PCh. 3.1 - Prob. 65PCh. 3.1 - Prob. 66PCh. 3.1 - Prob. 67PCh. 3.1 - Prob. 68PCh. 3.1 - Prob. 69PCh. 3.1 - Prob. 70PCh. 3.1 - Prob. 71PCh. 3.1 - Prob. 72PCh. 3.1 - Prob. 73PCh. 3.1 - Prob. 74PCh. 3.1 - Prob. 75PCh. 3.1 - Prob. 76PCh. 3.1 - Prob. 77PCh. 3.1 - Prob. 78PCh. 3.1 - Prob. 79PCh. 3.2 - Prob. 1PCh. 3.2 - Prob. 2PCh. 3.2 - Prob. 3PCh. 3.2 - Prob. 4PCh. 3.2 - Prob. 5PCh. 3.2 - Prob. 6PCh. 3.2 - Prob. 7PCh. 3.2 - Prob. 8PCh. 3.2 - Prob. 9PCh. 3.2 - Prob. 10PCh. 3.2 - Prob. 11PCh. 3.2 - Prob. 12PCh. 3.2 - Prob. 13PCh. 3.2 - Prob. 14PCh. 3.2 - Prob. 15PCh. 3.2 - Prob. 16PCh. 3.2 - Prob. 17PCh. 3.2 - Prob. 18PCh. 3.2 - Prob. 19PCh. 3.2 - Prob. 20PCh. 3.2 - Prob. 21PCh. 3.2 - Prob. 22PCh. 3.2 - Prob. 23PCh. 3.2 - Prob. 24PCh. 3.2 - Prob. 25PCh. 3.2 - Prob. 26PCh. 3.2 - Prob. 27PCh. 3.2 - Prob. 28PCh. 3.2 - Prob. 29PCh. 3.2 - Prob. 30PCh. 3.2 - Prob. 31PCh. 3.2 - Prob. 32PCh. 3.2 - Prob. 33PCh. 3.2 - Prob. 34PCh. 3.2 - Prob. 35PCh. 3.2 - Prob. 36PCh. 3.2 - Prob. 37PCh. 3.2 - Prob. 38PCh. 3.2 - Prob. 39PCh. 3.2 - Prob. 40PCh. 3.2 - Prob. 41PCh. 3.2 - Prob. 42PCh. 3.2 - Prob. 43PCh. 3.2 - Prob. 44PCh. 3.2 - Prob. 45PCh. 3.2 - Prob. 46PCh. 3.2 - Prob. 47PCh. 3.2 - Prob. 48PCh. 3.2 - Prob. 49PCh. 3.2 - Prob. 50PCh. 3.2 - Prob. 51PCh. 3.2 - Prob. 52PCh. 3.2 - Prob. 53PCh. 3.2 - Prob. 54PCh. 3.2 - Prob. 55PCh. 3.2 - Prob. 56PCh. 3.2 - Prob. 57PCh. 3.2 - Prob. 58PCh. 3.2 - Prob. 59PCh. 3.2 - Prob. 60PCh. 3.3 - Prob. 1PCh. 3.3 - Prob. 2PCh. 3.3 - Prob. 3PCh. 3.3 - Prob. 4PCh. 3.3 - Prob. 5PCh. 3.3 - Prob. 6PCh. 3.3 - Prob. 7PCh. 3.3 - Prob. 8PCh. 3.3 - Prob. 9PCh. 3.3 - Prob. 10PCh. 3.3 - Prob. 11PCh. 3.3 - Prob. 12PCh. 3.3 - Prob. 13PCh. 3.3 - Prob. 14PCh. 3.3 - Prob. 15PCh. 3.3 - Prob. 16PCh. 3.3 - Prob. 17PCh. 3.3 - Prob. 18PCh. 3.3 - Prob. 19PCh. 3.3 - Prob. 20PCh. 3.3 - Prob. 21PCh. 3.3 - Prob. 22PCh. 3.3 - Prob. 23PCh. 3.3 - Prob. 24PCh. 3.3 - Prob. 25PCh. 3.3 - Prob. 26PCh. 3.3 - Prob. 27PCh. 3.3 - Prob. 28PCh. 3.3 - Prob. 29PCh. 3.3 - Prob. 30PCh. 3.3 - Prob. 31PCh. 3.3 - Prob. 32PCh. 3.3 - Prob. 33PCh. 3.3 - Prob. 34PCh. 3.3 - Prob. 35PCh. 3.3 - Prob. 36PCh. 3.3 - Prob. 37PCh. 3.3 - Prob. 38PCh. 3.3 - Prob. 39PCh. 3.3 - Prob. 40PCh. 3.3 - Prob. 41PCh. 3.3 - Prob. 42PCh. 3.3 - Prob. 43PCh. 3.3 - Prob. 44PCh. 3.3 - Prob. 45PCh. 3.3 - Prob. 46PCh. 3.3 - Prob. 47PCh. 3.3 - Prob. 48PCh. 3.3 - Prob. 49PCh. 3.3 - Prob. 50PCh. 3.3 - Prob. 51PCh. 3.3 - Prob. 52PCh. 3.3 - Prob. 53PCh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.4 - Prob. 5PCh. 3.4 - Prob. 6PCh. 3.4 - Prob. 7PCh. 3.4 - Prob. 8PCh. 3.4 - Prob. 9PCh. 3.4 - Prob. 10PCh. 3.4 - Prob. 11PCh. 3.4 - Prob. 12PCh. 3.4 - Prob. 13PCh. 3.4 - Prob. 14PCh. 3.4 - Prob. 15PCh. 3.4 - Prob. 16PCh. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - Prob. 20PCh. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - Prob. 23PCh. 3.4 - Prob. 24PCh. 3.4 - Prob. 25PCh. 3.4 - Prob. 26PCh. 3.4 - Prob. 27PCh. 3.4 - Prob. 28PCh. 3.4 - Prob. 29PCh. 3.4 - Prob. 30PCh. 3.4 - Prob. 31PCh. 3.4 - Prob. 32PCh. 3.4 - Prob. 33PCh. 3.4 - Prob. 34PCh. 3.4 - Prob. 35PCh. 3.4 - Prob. 36PCh. 3.4 - Prob. 37PCh. 3.4 - Prob. 38PCh. 3.4 - Prob. 39PCh. 3.4 - Prob. 40PCh. 3.4 - Prob. 41PCh. 3.4 - Prob. 42PCh. 3.4 - Prob. 43PCh. 3.4 - Prob. 44PCh. 3.4 - Prob. 45PCh. 3.4 - Prob. 46PCh. 3.4 - Prob. 47PCh. 3.4 - Prob. 48PCh. 3.4 - Prob. 49PCh. 3.4 - Prob. 50PCh. 3.4 - Prob. 51PCh. 3.4 - Prob. 52PCh. 3.5 - Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 5PCh. 3.5 - Prob. 6PCh. 3.5 - Prob. 7PCh. 3.5 - Prob. 8PCh. 3.5 - Prob. 9PCh. 3.5 - Prob. 10PCh. 3.5 - Prob. 11PCh. 3.5 - Prob. 12PCh. 3.5 - Prob. 13PCh. 3.5 - Prob. 14PCh. 3.5 - Prob. 15PCh. 3.5 - Prob. 16PCh. 3.5 - Prob. 17PCh. 3.5 - Prob. 18PCh. 3.5 - Prob. 19PCh. 3.5 - Prob. 20PCh. 3.5 - Prob. 21PCh. 3.5 - Prob. 22PCh. 3.5 - Prob. 23PCh. 3.5 - Prob. 24PCh. 3.5 - Prob. 25PCh. 3.5 - Prob. 26PCh. 3.5 - Prob. 27PCh. 3.5 - Prob. 28PCh. 3.5 - Prob. 29PCh. 3.5 - Prob. 30PCh. 3.5 - Prob. 31PCh. 3.5 - Prob. 32PCh. 3.5 - Prob. 33PCh. 3.5 - Prob. 34PCh. 3.5 - Prob. 35PCh. 3.5 - Prob. 36PCh. 3.5 - Prob. 37PCh. 3 - Prob. 1SYUCh. 3 - Prob. 2SYUCh. 3 - Prob. 3SYUCh. 3 - Prob. 4SYUCh. 3 - Prob. 5SYUCh. 3 - Prob. 6SYUCh. 3 - Prob. 7SYUCh. 3 - Prob. 8SYUCh. 3 - Prob. 9SYUCh. 3 - Prob. 10SYUCh. 3 - Prob. 11SYUCh. 3 - Prob. 12SYUCh. 3 - Prob. 13SYUCh. 3 - Prob. 14SYUCh. 3 - Prob. 15SYUCh. 3 - Prob. 16SYUCh. 3 - Prob. 17SYUCh. 3 - Prob. 18SYUCh. 3 - Prob. 19SYUCh. 3 - Prob. 20SYUCh. 3 - Prob. 21SYUCh. 3 - Prob. 22SYUCh. 3 - Prob. 23SYUCh. 3 - Prob. 24SYUCh. 3 - Prob. 25SYUCh. 3 - Prob. 26SYUCh. 3 - Prob. 27SYUCh. 3 - Prob. 28SYUCh. 3 - Prob. 29SYUCh. 3 - Prob. 30SYUCh. 3 - Prob. 31SYUCh. 3 - Prob. 32SYUCh. 3 - Prob. 33SYUCh. 3 - Prob. 34SYUCh. 3 - Prob. 35SYUCh. 3 - Prob. 36SYUCh. 3 - Prob. 37SYUCh. 3 - Prob. 38SYUCh. 3 - Prob. 39SYUCh. 3 - Prob. 40SYUCh. 3 - Prob. 41SYUCh. 3 - Prob. 42SYUCh. 3 - Prob. 43SYUCh. 3 - Prob. 44SYUCh. 3 - Prob. 45SYUCh. 3 - Prob. 46SYUCh. 3 - Prob. 47SYUCh. 3 - Prob. 48SYUCh. 3 - Prob. 49SYUCh. 3 - Prob. 50SYUCh. 3 - Prob. 1FOTCh. 3 - Prob. 2FOTCh. 3 - Prob. 3FOTCh. 3 - Prob. 4FOTCh. 3 - Prob. 5FOTCh. 3 - Prob. 6FOTCh. 3 - Prob. 7FOTCh. 3 - Prob. 8FOTCh. 3 - Prob. 9FOTCh. 3 - Prob. 10FOTCh. 3 - Prob. 11FOTCh. 3 - Prob. 12FOTCh. 3 - Prob. 1FOPCh. 3 - Prob. 2FOPCh. 3 - Prob. 3FOPCh. 3 - Prob. 4FOPCh. 3 - Prob. 5FOPCh. 3 - Prob. 6FOPCh. 3 - Prob. 7FOPCh. 3 - Prob. 8FOPCh. 3 - Prob. 9FOPCh. 3 - Prob. 10FOPCh. 3 - Prob. 11FOPCh. 3 - Prob. 12FOPCh. 3 - Prob. 13FOPCh. 3 - Prob. 14FOPCh. 3 - Prob. 15FOPCh. 3 - Prob. 16FOPCh. 3 - Prob. 17FOPCh. 3 - Prob. 18FOPCh. 3 - Prob. 19FOPCh. 3 - Prob. 20FOPCh. 3 - Prob. 21FOPCh. 3 - Prob. 22FOPCh. 3 - Prob. 23FOPCh. 3 - Prob. 24FOPCh. 3 - Prob. 25FOPCh. 3 - Prob. 26FOPCh. 3 - Prob. 27FOPCh. 3 - Prob. 28FOPCh. 3 - Prob. 29FOPCh. 3 - Prob. 30FOPCh. 3 - Prob. 31FOPCh. 3 - Prob. 32FOPCh. 3 - Prob. 33FOPCh. 3 - Prob. 34FOPCh. 3 - Prob. 35FOPCh. 3 - Prob. 36FOPCh. 3 - Prob. 37FOPCh. 3 - Prob. 38FOPCh. 3 - Prob. 39FOPCh. 3 - Prob. 40FOPCh. 3 - Prob. 41FOPCh. 3 - Prob. 42FOPCh. 3 - Prob. 43FOPCh. 3 - Prob. 44FOPCh. 3 - Prob. 45FOPCh. 3 - Prob. 46FOPCh. 3 - Prob. 47FOPCh. 3 - Prob. 48FOPCh. 3 - Prob. 49FOPCh. 3 - Prob. 50FOPCh. 3 - Prob. 51FOPCh. 3 - Prob. 52FOPCh. 3 - Prob. 53FOPCh. 3 - Prob. 54FOPCh. 3 - Prob. 55FOPCh. 3 - Prob. 56FOPCh. 3 - Prob. 57FOPCh. 3 - Prob. 58FOPCh. 3 - Prob. 59FOPCh. 3 - Prob. 60FOPCh. 3 - Prob. 61FOPCh. 3 - Prob. 62FOPCh. 3 - Prob. 63FOP
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