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?
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3 13 Details
Find an Euler path for the graph. Enter your response as a sequence of vertices in the order
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You are provided with three 2D data points, p1, p2 and p3. Solving A C = B for C provides youwith the coefficients of a natural cubic spline curve that interpolates these points.Additionally, you have been given A and B, but some elements are missing. Moreover, the last two rowsof A are entirely absent. Your task is to determine and fill in the missing elements. For the last two rows,enforce a zero tangent at the beginning (in p1) and a not-a-knot boundary condition in p2. The matricesA and B are given as follows:Explain how to find the entries of A and B . How would you adapt these matrices if the data pointswere 3D? What if your spline should go through five data points? How many “extra rows” would there thenbe (with “extra” meaning “in addition to securing C2-continuity”)?
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