The number of yearly visits to physicians’ offices varies in part by the age of the patient. For the data shown in the table. a represents the age of patients (in yr) and n a represents the corresponding number of visits to physicians’ offices per year. a. Use regression to find a quadratic function to model the data. b. At what age is the number of yearly visits to physicians’ offices the least? Round to the nearest year of age. c. What is the minimum number of yearly visits? Round to 1 decimal place.
The number of yearly visits to physicians’ offices varies in part by the age of the patient. For the data shown in the table. a represents the age of patients (in yr) and n a represents the corresponding number of visits to physicians’ offices per year. a. Use regression to find a quadratic function to model the data. b. At what age is the number of yearly visits to physicians’ offices the least? Round to the nearest year of age. c. What is the minimum number of yearly visits? Round to 1 decimal place.
Solution Summary: The author explains how to calculate the quadratic function by using regression to model the provided data.
The number of yearly visits to physicians’ offices varies in part by the age of the patient. For the data shown in the table. a represents the age of patients (in yr) and
n
a
represents the corresponding number of visits to physicians’ offices per year.
a. Use regression to find a quadratic function to model the data.
b. At what age is the number of yearly visits to physicians’ offices the least? Round to the nearest year of age.
c. What is the minimum number of yearly visits? Round to 1 decimal place.
Mid-Term Review
Find the formula for (f + g)(x).
f(x) = x² - 10x + 25 and g(x) = x² - 10x + 24
(f + g) (x) = [ 2 ]x²
X +
DELL
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S
Calculus III
May I please have some elaborations on Example 2 part a? Thank you.
1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in
feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b)
the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the
8-second period.
t
0 2
4 6 8
V
10 15
12 10 16
2. Find the midpoint rule approximation for
(a) n = 4
+5
x²dx using n subintervals.
1° 2
(b) n = 8
36
32
28
36
32
28
24
24
20
20
16
16
12
8-
4
1
2
3
4
5
6
12
8
4
1
2
3
4
5
6
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