Draining a tank (Torricelli’s law) A cylindrical tank with

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Problem 64E Chapter 1.1

Calculus: Early Transcendentals | 1st Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

4 5 0 403 Reviews
10
3
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

Chapter 1.1, Problem 64E is Solved
Step 5 of 6

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
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 275 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.

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Draining a tank (Torricelli’s law) A cylindrical tank with

×
Log in to StudySoup
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 1.1 - Problem 64e

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 1.1 - Problem 64e
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here