**Question 3: Paraffin Wax Heating in the Laboratory**A sample of paraffin wax is being heated in a laboratory. The temperature of the paraffin is given by \( H = f(t) \) degrees Celsius, where \( t \) represents time, in minutes (see the graph to the right).**Graph Details:** - The graph displays the temperature \( H \) on the y-axis and time \( t \) on the x-axis.- Time \( t \) ranges from 0 to 10 minutes.- The curve starts below the x-axis, slopes upwards quickly between \( t = 1 \) and \( t = 3 \), flattens between \( t = 3 \) and \( t = 6 \), and steeply increases again from \( t = 6 \) to \( t = 10 \).**Questions:**(a) On what time intervals, if any, is the temperature of the paraffin increasing?(b) On what time intervals, if any, is the temperature of the paraffin decreasing?(c) On what time intervals, if any, is the rate of temperature change increasing? Also, **explain** how you know your answer is right.(d) On what time intervals, if any, is the rate of temperature change decreasing? Also, **explain** how you know your answer is right.**Graph Interpretation:**1. **Temperature Increasing:** - Observing the graph, the temperature increases during the entire interval, as the graph is rising from \( t = 0 \) to \( t = 10 \).2. **Temperature Decreasing:** - There are no intervals where the temperature decreases, as the graph shows a continuous upward slope.3. **Rate of Temperature Change Increasing:** - Occurs where the graph's slope is getting steeper, specifically from \( t = 0 \) to \( t = 3 \) and \( t = 6 \) to \( t = 10 \). - Explanation: The steepness of the graph indicates the rate of change is increasing.4. **Rate of Temperature Change Decreasing:** - Occurs where the graph's slope is flattening, from \( t = 3 \) to \( t = 6 \). - Explanation: The flattening of the graph suggests the rate of temperature change is decreasing.

Answered: Image /qna-images/answer/a87a44a1-aad4-4ee3-9d2c-ed9b3c882131.jpg

Answered: 3. A sample of paraffin wax is being…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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1. The temperature was recorded at several times during the day. Function T gives the temperature in degrees Fahrenheit, n hours since midnight. Here is a graph for this function. For each time interval, decide if the average rate of change is positive, negative, or zero: 70 60 a. From n= 1 to n = 5 50 b. From n 5 to n = 7 40 c. From n 10 to n 20 10 15 25 d. From n = 15 to n 18 time of day e. From n =20 to n= 24 temperature (Fahrenheit) 20

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