This is the activity instruction link https://www.youtube.com/watch?v=zL_RWcKNV6g

This is the click-here video for option 1 https://www.youtube.com/watch?v=91ME7OVxaxY&list=PLimqJKkMF4-XWy3_dznjUNzZ0HUh_Zil6&index=3

TASK DESCRH'TIOH: Canada's Wonderland is accepting proposals for a new roller-coaster idea! 1/ In this roller-coaster you must have at least four extreme and three inflection points. I The rollercoaster must be specific to an age-group of your choice (maximum minimum height must be included in the specifics), and must be named after a theme of your choice. Your task is to create a design for a roller coaster in Desmos which incorporates each of the following functions that you have studied in this course. To access the instructions on how to complete the assignment, please click Activity Instructions '2' TO DESIGN THE ROLLER COASTER, YOU MAY USE TWO DIFFERENT APPROACHES AS LISTED BELOW: Option #1- Design and THEN Model by using eguations of functions: (click here for a tutorial) 1. Design the roller coaster by drawing a picture of the rollercoaster. 2. Embed the picture of the designed rollercoaster in DESMOS. 3. Determine/select the equations that can model the shape of your rollercoaster by using appropriate functions as described in PART B of this assignment. Option #2 Design and Model AS YOU GO: Draw the roller coaster on Desmos by using the appropriate functions, design the roller coaster on Desmos. This activig composed of THREE parts: PART A: [COMMUNICATION - 8 MARKS] Please read the rubric on the last page, to better understand the marking scheme In this part, you will have to write a plan that outlines 1. All the steps of the process you followed to complete this assignment. 2. The theme of your roller coaster (background story that explain why you chose your theme). The marking scheme is explained in the rubric. '2' OTHER PARAMETERS 1. Write the steps clearly and in order (please avoid repetitions) 2. You may be as creative as you wish in your design, for example, you decide to design a rollercoaster appropriate for a certain age group, a themed roller coaster (relate to a legend, or a story, etc.). 3. The outlined report should not exceed one page (font size 14). PART B: [THINKING AND INQUIRY ' 1 2 MARKS] Please read the rubric on the last page, to better understand the marking schemes Once you have created the idea and made a decision on the approach you'd like to use in order to complete this task, you will need to model the rollercoaster. by choosing appropriate equations from the functions you have discussed and analyzed in the Calculus course. THE FUNCTIONS YOU CAN USE ARE: > > > > V o 0.0 A polynomial function of the form y = a(x T) (x S) (x t)(x 17) A sinusoidal function of the form y = asin[k(x 6)] + d ory = acos[k(x C)] + d (where the x-values are measured in radians) An exponential function of the form y = a(b)k(xc) + d A logarithmic function of the form y = alog[k(x C)] + d A rational function of the form y = w 906) OTHER PARAM ETERS: You must use at least four out of the six types of functions listed above: 0 Polynomial function 0 Either a sinusoid or co-sinusoid 0 Either and exponential or logarithmic function 0 A rational function. You can use one type of function more than once. For example, you may use a polynomial function at two or more parts of the rollercoaster. The domain for your roller coaster should be {t E RIO S t S 180)} (Where t is the time in seconds) The range for your roller coaster should be {h E R |0 s h s 300)} (Where h is the height in feet the current tallest roller coaster is 460 feet!) *All functions must connect smoothly. *Watch the following video for a walk through of how to do smoothly connect graphs of functions on DESMOS: here PART 0: [KNOWLEDGE/UNDERSTANDING - 24 MARKS: APPLICATION - 24 MARKS] Complete the calculations at the following FIVE points. For the submitted work, you may choose the following options: OPTION #1: Type up your solutions on inside your demos account OPTION #2: Write the solutions on paper and submit a hard copy (in the spaces provided, please include a graph snapshot that features each case). 1. A point on the graph where the roller coaster is INCREASING. [K/U 6 MARKS; APPLICATION - 4 MARKS] Attach a picture of the graph, here. > Determine the FIRST Derivative > Determine the SECOND Derivative Mark the POint you are "Sins in Your ca'CUIE'ion- > Evaluate the speed at that point > Evaluate the acceleration at that point 2. A point on the graph where the roller coaster is DECREASING. [K/U 6 MARKS; APPLICATION - 4 MARKS] Attach a picture of the graph, here. > Determine the FIRST Derivative > Determine the SECOND Derivative Mark the Point you are using in Your calculation > Evaluate the speed at that point > Evaluate the acceleration at that point 3. A point of inflection where the roller coaster is INCREASING. [K/U 5 MARKS; APPLICATION - 4 MARKS] Attach a picture of the graph, here. Mark the point you are using in your calculation. > Determine the FIRST Derivative > Evaluate the speed at that point > Determine the SECOND Derivative > Evaluate the acceleration at that point 4. A point of inflection where the roller coaster is DECREASING. [K/U - 6 MARKS; APPLIUlTION - 4 MARKS] Attach a picture of the graph, here. Mark the point you are using in your calculation. > Determine the FIRST Derivative > Evaluate the speed at that point > Determine the SECOND Derivative > Evaluate the acceleration at that point 5. The HIGHEST POINT of the roller coaster. [APPLICATION - 4 MARKS] > Attach a picture of the graph, here. > Mark the point you are using in your calculation. > Determine the acceleration at the HIGHEST point 6. The LOWEST POINT of the roller coaster. [APPLICATION - 4 MARKS] > Attach a picture of the graph, here. > Mark the point you are using in your calculation. > Determine the acceleration at the LOWEST point