1-t, where x and y are measured inThe temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is given by x = √3+ t, y = 6 +centimeters. The temperature function satisfies Tx(4, 7) = 4 and Ty(4, 7) = 3. How fast is the temperature rising on the bug's path after 13 seconds?13Step 1dT ƏT dx at dyWe know that the rate of change of the temperature is given by.+dtax dtay dtUsing x = √√3+ t and y = 6 + -t, we have113Step 2dxdtWe are given that Tx(4, 7) = 4 and T,(4, 7) = 3.Step 3dxAlso, after 13 seconds, we have = 4dt=²/² (3+1)=12To find x and y after 13 seconds, we substitute t = 13 into the above equations to obtain x =12√3+tX and = 7dydt1and =dt 13dyX1134 and y = 7✔7

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The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is given by x = √3+t, y = 6 + centimeters. The temperature function satisfies Tx(4, 7) = 4 and T,(4, 7) = 3. How fast is the temperature rising on the bug's path after 13 seconds? Step 1 We know that the rate of change of the temperature is given by Using x = √3+ t and y = 6 + , we have 13 Step 3 dx dt We are given that T (4, 7) = 4 and T,(4, 7) = 3. dv = dT ƏT dx dt ax dt = du ƏT dy ay dt ду Step 2 To find x and y after 13 seconds, we substitute t = 13 into the above equations to obtain x = 4✔ 1 2√3+1 and dy dt = 1 13. 4 1 13 and y = 7✔ 7 t, where x and y are measured in. ₁

The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is given by x = √3+t, y = 6 + centimeters. The temperature function satisfies Tx(4, 7) = 4 and T,(4, 7) = 3. How fast is the temperature rising on the bug's path after 13 seconds? Step 1 We know that the rate of change of the temperature is given by Using x = √3+ t and y = 6 + , we have 13 Step 3 dx dt We are given that T (4, 7) = 4 and T,(4, 7) = 3. dv = dT ƏT dx dt ax dt = du ƏT dy ay dt ду Step 2 To find x and y after 13 seconds, we substitute t = 13 into the above equations to obtain x = 4✔ 1 2√3+1 and dy dt = 1 13. 4 1 13 and y = 7✔ 7 t, where x and y are measured in. ₁

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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