- #1
healey.cj
- 11
- 0
Hey everyone,
We've been covering tangents and derivatives etc in class recently but there is a question on the assignment that we've been given that i don't know how to do.
The question is:
"A quadratic equation can be fitted to any three points on a cartesian plane. The model for such an equation in y=ax + bx+ c. By substitution three separate points (The first, middle and last data points) derive the equation of the Quadratic function that models the data."
The situation is a cup of hot coffee is left to cool over a 50 minute period and we have been given this table of values:
mins : Degrees Celcius
0 :83
5 :76.5
8 :70.5
11:65
15:61
18:57.5
24:52.5
35: 51
30:47.5
34:45
38:43
42:41
45:39.5
50:38
From there i have plotted the time vs. temp graph and attached 3 tangents to points time (t) = 0, t = 25 & t = 50.
at t=0 the Rate of Change or gradient was -1.85Degrees/min
at t=25, the ROC or Gradient was -0.92degrees/min
at t=50, the ROC or Gradient was -0.13degrees/min
I'm not asking for you to do this for me, I am just asking for the path i need to take or an idea of what i need to do...
Thanks everyone,
Chris
We've been covering tangents and derivatives etc in class recently but there is a question on the assignment that we've been given that i don't know how to do.
The question is:
"A quadratic equation can be fitted to any three points on a cartesian plane. The model for such an equation in y=ax + bx+ c. By substitution three separate points (The first, middle and last data points) derive the equation of the Quadratic function that models the data."
The situation is a cup of hot coffee is left to cool over a 50 minute period and we have been given this table of values:
mins : Degrees Celcius
0 :83
5 :76.5
8 :70.5
11:65
15:61
18:57.5
24:52.5
35: 51
30:47.5
34:45
38:43
42:41
45:39.5
50:38
From there i have plotted the time vs. temp graph and attached 3 tangents to points time (t) = 0, t = 25 & t = 50.
at t=0 the Rate of Change or gradient was -1.85Degrees/min
at t=25, the ROC or Gradient was -0.92degrees/min
at t=50, the ROC or Gradient was -0.13degrees/min
I'm not asking for you to do this for me, I am just asking for the path i need to take or an idea of what i need to do...
Thanks everyone,
Chris