Mathematical competency in calculus (and beyond) entails both being procedurally fluent and having a grasp of the ideas and strategies with which you apply calculus to solve problems. While homework problems will include assessments of your procedural fluency, complementing the homework for each module will be an assignment that targets your grasp of the main ideas based on the insights explored during the module week. For this conceptual quiz, you will analyze the relationship between 0 (the angle measure between the horizontal axis and the blue line connecting the origin to the blue dot on the curve) and r (the radius, or length of the blue line) as determined by the specific curve given in the following GeoGebra application. Goal: Determine whether there is a constant of non-constant rate of change relationship between 0 and r. If 0 and r have a constant rate of change relationship, provide an equation that specifies their relationship. If 0 and r have a non-constant rate of change relationship, give the average rate of change between 0 and r over the interval of 0 between 0 = 1 and 0 = 2. To manipulate this application, you may alter the "0=" and "Scale=" sliders, which will alter the value of 0 between 0 and 27, and alter the scale that determines how far apart the tick marks are. Notice that though 0 has units of radians and r has units of centimeters, the length between two tick marks has the same numerical value given by the scale. For instance, if Scale=1, then the distance between tick marks for r is 1cm, and the tick marks along the curve also mark a 0-change of 1 radian. You may also enter a value for 0, which will alter the slider accordingly. This lets you input more precise values for O such as - IT, or 271 as desired. (Caution: At 27, the computer may round the tick marks up, which might give slightly misleading calculations).ses to x Module 1 Concep X Do Homework - N X MyStatLab X Thomas' Calculus X Thomas' Calculus X Mail m/courses/142438/assignments/2787031 1 Activity Requirements In this assignment, you will prepare and submit a document with your responses to this activity. Your solution should not only be an answer to the question but should include a convincing argument for the correctness of your proposed solution. This argument should contain all elements of mathematical and scientific discourse discussed on the Mathematical Discourse page. Any claims you make should be backed up by evidence, and you should include a justification that links the evidence to the claim and incorporates the appropriate features of a constant rate of change relationship. Your evidence should include a description of the information gained from the applet from which you determined your answer. The amount of information gained from the applet should be enough for you to reasonably conclude that a pattern persists beyond the specific values that you observe. Your justification should specifically refer to what it means for two variables to have a constant rate of change relationship, and should directly link your provided evidence to your claim that r and @ either do or do not have a constant rate of change relationship. Welcome to your first Conceptual Assessment! Mathematical competency in calculus (and beyond) entails both being procedurally fluent and having a grasp of the ideas and strategies with which you apply calculus to solve problems. While homework problems will include assessments of your procedural fluency, complementing the homework for each module will be an assignment that targets your grasp of the main ideas based on the insights explored during the module week. For this conceptual quiz, you will analyze the relationship between 0 (the angle measure between the horizontal axis and the blue line connecting the origin to the blue dot on the curve) and r (the radius, or length of the blue line) as determined by the specific curve given in the following GeoGebra application. Goal: Determine whether there is a constant or non-constant rate of change relationship between 0 and r. If 0 and r have a constant rate of change relationship, provide an equation that specifies their relationship. If 0 and r have a non-constant rate of change relationship, give the average rate of change between 0 and r over the interval of 0 between 0 = 1 and 0 = 2. To manipulate this application, you may alter the "0=" and "Scale=" sliders, which will alter the value of 0 between 0 and 27, and alter the scale that determines how far apart the tick marks are. MacBook Pro C G Search or type URL , @ & * W# 4 6 7 8 9 O W E R T Y U O P1 cm H Scale = 1 4 0 = TT 2 1 rad TT 6 8 10 12 14 H N -2 -4 6 -8 -10