The image contains handwritten text that outlines a mathematical task. The task is as follows:1. \( F(t) = 73 - 23e^{-0.8t} \)Instructions: Using increments of 1/2 hours for \( t \), graph the formula.Explanation for Educational Website:This is a mathematical exercise involving an exponential function. The equation \( F(t) = 73 - 23e^{-0.8t} \) represents a function where \( F(t) \) is dependent on the variable \( t \), typically representing time. The goal is to graph this function, plotting the values of \( F(t) \) at increments of 0.5 hours, using the specified formula. To graph it:1. Calculate the value of \( F(t) \) for \( t = 0, 0.5, 1.0, 1.5, \ldots \).2. Plot these points on a graph with \( t \) on the x-axis and \( F(t) \) on the y-axis.3. Connect these points to visualize the behavior of the function over time.4. Observe the trend and shape of the graph, noting the effect of the exponential term \( e^{-0.8t} \) on the function’s rate of change. This exercise helps in understanding how to evaluate and graph exponential functions incrementally.

Lets calculate values of the function.. not possible to calculate all values as the function will reach saturation beyond t = 35, calculation of 70 values is a unneeded effort.. We will go for first 10 values, and then see the plot of the function.. Curve reaches saturation at around t = 35.8, due to high sensitivity screenshot captured my pointer a bit after 35.8, this graph is intended to show the nature of function..

Answered: 1. F(H) =73-23e 3+ Using increments of…

Math

Algebra

1. F(H) =73-23e 3+ Using increments of 2 hours for t, graph the formula.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

The image contains handwritten text that outlines a mathematical task. The task is as follows:

1. \( F(t) = 73 - 23e^{-0.8t} \)

Instructions: Using increments of 1/2 hours for \( t \), graph the formula.

Explanation for Educational Website:

This is a mathematical exercise involving an exponential function. The equation \( F(t) = 73 - 23e^{-0.8t} \) represents a function where \( F(t) \) is dependent on the variable \( t \), typically representing time.

The goal is to graph this function, plotting the values of \( F(t) \) at increments of 0.5 hours, using the specified formula.

To graph it:

1. Calculate the value of \( F(t) \) for \( t = 0, 0.5, 1.0, 1.5, \ldots \).
2. Plot these points on a graph with \( t \) on the x-axis and \( F(t) \) on the y-axis.
3. Connect these points to visualize the behavior of the function over time.
4. Observe the trend and shape of the graph, noting the effect of the exponential term \( e^{-0.8t} \) on the function’s rate of change.

This exercise helps in understanding how to evaluate and graph exponential functions incrementally.

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