The following function takes t, minutes since a bar of metal was removed from a furnace, and gives A, the temperature of the bar (in degrees Fahrenheit).     A(t) = 75 + 625e to the -0.046t power     1. Determine the temperature of the metal bar as it was pulled out of the furnace (in other words, when t = 0).   2. Determine when the temperature of the bar drops below 600 degrees Fahrenheit (This determines how long it can be easily shaped).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The following function takes t, minutes since a bar of metal was removed from a furnace, and gives A, the temperature of the bar (in degrees Fahrenheit).  

 

A(t) = 75 + 625e to the -0.046t power

 

 

1. Determine the temperature of the metal bar as it was pulled out of the furnace (in other words, when t = 0).

 

2. Determine when the temperature of the bar drops below 600 degrees Fahrenheit (This determines how long it can be easily shaped).

 

The following function takes t, number of seconds since a ball was tossed in the air, and gives H, the distance from the ball to the ground (in feet).  

H(t) = - 16t^2 + 90t +5

3. Determine the distance from the ball to the ground 1 second after it was tossed.

4. Determine how long it takes for the ball to hit the ground (in other words, determine when the distance drops to 0 feet)

 

The following function takes t, the number of years since a number of elk were released into a nature preserve, and gives E, the number of elk.  

E(t) = 300/1+9e^-0.035t

 

5. Determine how many years it takes for the number of elk to reach 270 (which is 90% of the maximum number of elk the preserve can maintain).

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