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# Draining a tank (Torricelli’s law) A cylindrical tank with ISBN: 9780321570567 2

## Solution for problem 64E Chapter 1.1

Calculus: Early Transcendentals | 1st Edition

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Problem 64E

Draining a tank (Torricelli’s law) A cylindrical tank with a cross-sectional area of 100 cm2 is filled to a depth of 100 cm with w ? ater. At ? = 0, a drain in the bottom of the tank with an area of 10 cm2 is opened allowing water to flow out of the tank. The depth of water in the ta ? nk at ti?m?e ?t ? 0 is ?? ) = (10 ? ? 2.2?t)2. ? a. Check that d? (0) = 100, as specified. b. What is an appro?priate domain for ?d? c. At what time is the tank first empty?

Step-by-Step Solution:

Step-by-step solution Step 1 of 6 Step 2 of 6 In order to do that we will put the value 0 instead t in the relation d(t) = (102.2t) 2 Now it is proven that the depth of water is equal to 100 cm in the beginning (t=0). Step 3 of 6 T he tank is opened at t=0. Th e domain of function d (t) represent the time from the moment when the tank is opened (t=0) to the moment when the tank is empty. When the the tank is empty the depth of water is equal to zero. Therefore, if we want to findthe domain of function d (t) we must solve the equation d(t)=0. Let’s rearrange this equation.

Step 4 of 6

Step 5 of 6

##### ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Draining a tank (Torricelli’s law) A cylindrical tank with a cross-sectional area of 100 cm2 is filled to a depth of 100 cm with w ? ater. At ? = 0, a drain in the bottom of the tank with an area of 10 cm2 is opened allowing water to flow out of the tank. The depth of water in the ta ? nk at ti?m?e ?t ? 0 is ?? ) = (10 ? ? 2.2?t)2. ? a. Check that d? (0) = 100, as specified. b. What is an appro?priate domain for ?d? c. At what time is the tank first empty?” is broken down into a number of easy to follow steps, and 104 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 64E from chapter: 1.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 64E from 1.1 chapter was answered, more than 325 students have viewed the full step-by-step answer. This full solution covers the following key subjects: tank, area, Water, depth, draining. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.

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