(a).
To calculate: Calculate a quadratic model of y
(a).
Answer to Problem 18CT
The required quadratic model of y,
Explanation of Solution
Given information:
Time, x ( In second) | Height, y (In feet) |
0 | 0 |
1 | 1 |
2 | 23 |
3 | 60 |
4 | 115 |
5 | 188 |
Calculation:
Quadratic regression:
Function | Value |
Mean of x | 2.5 |
Mean of y | 64.5 |
0.99962917 | |
a | -0.4285714 |
b | -6.2428571 |
c | 8.7857143 |
Hence, the required quadratic model of y,
(b).
To calculate: Calculate the velocity of the shuttle at after 5 second.
(b).
Answer to Problem 18CT
Explanation of Solution
Given information: quadratic model of y,
Let, time after 5 second is 6 second, since x = 6 sec
Calculation:
Differentiate the quadratic model of y with respect to ‘ x’ .
Now,
Put,
Hence, the required velocity of the shuttle is 99.189 per second.
Chapter 11 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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