Life science: maximum heart rate. Use the data in Exercise 50. [ R .6 ] a. Use regression to fit a linear function to the data. b. Use the linear function to predict the maximum heart rate of a woman whose resting heart rate is 67. c. Compare your answer to that found in Exercise 50. Are the answers equally reliable? Why or why not?
Life science: maximum heart rate. Use the data in Exercise 50. [ R .6 ] a. Use regression to fit a linear function to the data. b. Use the linear function to predict the maximum heart rate of a woman whose resting heart rate is 67. c. Compare your answer to that found in Exercise 50. Are the answers equally reliable? Why or why not?
Solution Summary: The author explains the linear function y=0.2x+160 that fits the provided data.
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
=
5 37
A 4 8 0.5
06
9
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
Chapter R Solutions
Calculus and Its Applications, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
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