Explanation Given: Carbon dioxide concentration of air entering in the room is 0.06 % , Volume of room is 8000 ft 3 , rate of air entering the room is 2000 ft 3 / min and the initial concentration of carbon dioxide in the room is 0.2 % . Calculation: Rate at which carbon dioxide is entering the room is, R i n = 0.06 % ( 2000 ft 3 / min ) = 0.06 100 ( 2000 ft 3 / min ) = 0.06 × 20 ft 3 / min = 1.2 ft 3 / min Rate at which carbon dioxide is going outside the room is, R o u t = A 8000 × 2000 = A 4 (1) Here, amount of carbon dioxide in the air going outside the room is A . Therefore, resulting differential equation for the rate of flow of carbon dioxide is, d A d t = R i n − R o u t (2) Substitute 1.2 for R i n and A 4 for R o u t in the equation (2). d A d t = 1.2 − A 4 d A d t + A 4 = 1.2 (3) Solution of the equation (2) is, A ( I . F ) = ∫ 1.2 ( I . F ) d x (4) Here, integration factor of the differential equation is ( I . F ) . Integration factor of the differential equation is, ( I . F ) = e ∫ 1 4 d t = e t 4 Substitute e t 4 for ( I . F ) in equation (2). A e t 4 = ∫ 1.2 e t 4 d t A e t 4 = 1

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Chapter 2, Problem 32CR

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The concentration of carbon dioxide in air of room after 10 min.

The steady state concentration of carbon dioxide in air.

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Chapter 2, Problem 31CR

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[) Hwk 25 4. [-/4 Points] Hwk 25 - (MA 244-03) (SP25) || X Answered: Homework#7 | bartle X + https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606604 DETAILS MY NOTES LARLINALG8 6.4.019. Use the matrix P to determine if the matrices A and A' are similar. -1 -1 12 9 '-[ ¯ ¯ ], ^ - [ _—2—2 _ ' ], ^' - [ ˜³ −10] P = 1 2 A = -20-11 A' -3-10 6 4 P-1 = Are they similar? Yes, they are similar. No, they are not similar. Need Help? Read It SUBMIT ANSWER P-1AP = 5. [-/4 Points] DETAILS MY NOTES LARLINALG8 6.4.023. Suppose A is the matrix for T: R³ - → R³ relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'. A' = -1 -2 0 A = -1 0 0 ' 0 02 B' = {(−1, 1, 0), (2, 1, 0), (0, 0, 1)} ☐☐☐ ↓ ↑ Need Help? Read It Update available →] - restart now ASK YOUR T Sync and save data { Sign In ill ↑ New tab HT New window N New private window +HP ASK YOUR T Bookmarks History Downloads > > HJ Passwords Add-ons and themes HA Print... HP Save page as... HS…

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[J) Hwk 25 Hwk 25 - (MA 244-03) (SP25) || X Answered: Homework#7 | bartle X + https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606604 1. [-/4 Points] DETAILS MY NOTES Find the matrix A' for T relative to the basis B'. LARLINALG8 6.4.003. T: R² → R², T(x, y) = (x + y, 4y), B' = {(−4, 1), (1, −1)} A' = Need Help? Read It Watch It SUBMIT ANSWER 2. [-/4 Points] DETAILS MY NOTES LARLINALG8 6.4.007. Find the matrix A' for T relative to the basis B'. T: R³ → R³, T(x, y, z) = (x, y, z), B' = {(0, 1, 1), (1, 0, 1), (1, 1, 0)} A' = ↓ ↑ Need Help? Read It SUBMIT ANSWER 具⇧ ASK YOUR TEACHER PRACTICE ANOTHER ill ASK YOUR TEACHER PRACTICE ANOTHER 3. [-/4 Points] DETAILS MY NOTES LARLINALG8 6.4.013. ASK YOUR TEACHER PRACTICE ANOTHER

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The concentration of carbon dioxide in air of room after 10 min . The steady state concentration of carbon dioxide in air.

Solution Summary: The author explains the steady state concentration of carbon dioxide in air after 10min and the rate of air entering the room.

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The steady state concentration of carbon dioxide in air.

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The concentration of carbon dioxide in air of room after 10 min . The steady state concentration of carbon dioxide in air.

Solution Summary: The author explains the steady state concentration of carbon dioxide in air after 10min and the rate of air entering the room.

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The concentration of carbon dioxide in air of room after 10 min. The steady state concentration of carbon dioxide in air.

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The concentration of carbon dioxide in air of room after 10 min.

The steady state concentration of carbon dioxide in air.