Application Exercises The maximum heart rate, in beats per minute, that yon should achieve during exercise is 220 minus your age: 220 - a. This algebraic expression gives maximum heart rate in terms of age, a. The following bar graph shows the target heart rate ranges for four types of exercise goals. The lower and upper limits of these ranges a re fractions of the maximum heart rate, 220 - a. Exercises 129 -130 are based on the information in the graph. If your exercise goal is to improve overall health, the graph shows the following range for target heart rate, H , in beats per minute: Lower limit of range H = 1 2 ( 220 − a ) Upper limit of range H = 3 5 ( 220 − a ) . a. What is the lower limit of the heart rate range, in beats per minute, for a 30-year-old with this exercise goal? b. What is the upper limit of the heart rate range, in beats per minute, for a 30-year-old with this exercise goal?
Application Exercises The maximum heart rate, in beats per minute, that yon should achieve during exercise is 220 minus your age: 220 - a. This algebraic expression gives maximum heart rate in terms of age, a. The following bar graph shows the target heart rate ranges for four types of exercise goals. The lower and upper limits of these ranges a re fractions of the maximum heart rate, 220 - a. Exercises 129 -130 are based on the information in the graph. If your exercise goal is to improve overall health, the graph shows the following range for target heart rate, H , in beats per minute: Lower limit of range H = 1 2 ( 220 − a ) Upper limit of range H = 3 5 ( 220 − a ) . a. What is the lower limit of the heart rate range, in beats per minute, for a 30-year-old with this exercise goal? b. What is the upper limit of the heart rate range, in beats per minute, for a 30-year-old with this exercise goal?
Solution Summary: The author explains that the lower limit of heart rate during exercise for a 30-year-old is 95 beats per minute.
The maximum heart rate, in beats per minute, that yon should achieve during exercise is 220 minus your age:
220 - a.
This algebraic expression gives maximum heart rate in terms of age, a.
The following bar graph shows the target heart rate ranges for four types of exercise goals. The lower and upper limits of these ranges are fractions of the maximum heart rate, 220 - a. Exercises 129-130 are based on the information in the graph.
If your exercise goal is to improve overall health, the graph shows the following range for target heart rate, H, in beats per minute:
Lower limit of range
H
=
1
2
(
220
−
a
)
Upper limit of range
H
=
3
5
(
220
−
a
)
.
a. What is the lower limit of the heart rate range, in beats per minute, for a 30-year-old with this exercise goal?
b. What is the upper limit of the heart rate range, in beats per minute, for a 30-year-old with this exercise goal?
Assume {u1, U2, us} spans R³.
Select the best statement.
A. {U1, U2, us, u4} spans R³ unless u is the zero vector.
B. {U1, U2, us, u4} always spans R³.
C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set.
D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³.
OE. {U1, U2, 3, 4} never spans R³.
F. none of the above
Assume {u1, U2, 13, 14} spans R³.
Select the best statement.
A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set.
B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector.
C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set.
D. {U1, U2, us} always spans R³.
E. {U1, U2, u3} may, but does not have to, span R³.
F. none of the above
Let H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane.
Select an Answer
u =
3
1.
-10
8-8
-2
,v=
5
Select an Answer
-2
u =
3
4
2.
+
9
,v=
6
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