Computing Body Mass Index (BMI) Materials: Calculator Estimated Time: 10 minutes Group Size: 2 Body mass index is a statistical measures of an individual's weight in relation to the person's height. It is computed by BMI = 703 W h 2 were W is a person's weight in p o u n d s . h is the person's height in i n c h e s . The National Institutes of Health (NIH) categorizes body mass indices as shown in the table. Body Mass Index (BMI) Weight Status 18.5 ≤ BMI ≤ 24.9 Considered ideal 25.0 ≤ BMI ≤ 29.9 Considered overweight BMI ≥ 30.0 Considered obese For a fixed height, body mass index is a function of a person's weight only. For example, for a person 72 in. tall (6ft), solve the following inequality to determine the person's ideal weight range. 18.5 ≤ 703 W ( 72 ) 2 ≤ 24.9
Computing Body Mass Index (BMI) Materials: Calculator Estimated Time: 10 minutes Group Size: 2 Body mass index is a statistical measures of an individual's weight in relation to the person's height. It is computed by BMI = 703 W h 2 were W is a person's weight in p o u n d s . h is the person's height in i n c h e s . The National Institutes of Health (NIH) categorizes body mass indices as shown in the table. Body Mass Index (BMI) Weight Status 18.5 ≤ BMI ≤ 24.9 Considered ideal 25.0 ≤ BMI ≤ 29.9 Considered overweight BMI ≥ 30.0 Considered obese For a fixed height, body mass index is a function of a person's weight only. For example, for a person 72 in. tall (6ft), solve the following inequality to determine the person's ideal weight range. 18.5 ≤ 703 W ( 72 ) 2 ≤ 24.9
Solution Summary: The author calculates the ideal weight range of a person if the relation between the height and ideal BMI is given as follows: 18.5le 703W(72)2
Body mass index is a statistical measures of an individual's weight in relation to the person's height. It is computed by
BMI
=
703
W
h
2
were
W
is a person's weight in
p
o
u
n
d
s
.
h
is the person's height in
i
n
c
h
e
s
.
The National Institutes of Health (NIH) categorizes body mass indices as shown in the table.
Body Mass Index (BMI)
Weight Status
18.5
≤
BMI
≤
24.9
Considered ideal
25.0
≤
BMI
≤
29.9
Considered overweight
BMI
≥
30.0
Considered obese
For a fixed height, body mass index is a function of a person's weight only. For example, for a person 72 in. tall (6ft), solve the following inequality to determine the person's ideal weight range.
(1) Let M and N be non-empty subsets of a linear space X, show that whether
= U or not, and show that there whether exsits a liear function
from P₂(x) into R' which onto but not one-to-one or not.
ام
(2) Let R be a field of real numbers and P,(x)=(a+bx+cx? / a,b,ce R} be a vector space
over R, show that whether there exsit two hyperspaces A and B such that AUB is a
hyperspace or not.
(3) Let A be an affine set in a linear space X over afield F and tEA, show that A-t is a
subspace of Xand show that if M and N are balanced sets then M+N is balanced set.
(4) Write the definition of bounded set in a normed space, and write with prove
an equivalent statement to definition.
(5) Let d be a metric on a linear space X over a field F, write conditions on d in order to
get that there is a norm on X induced dy d and prove that.
(6) Let M be a non-empty subset of a normed space X, show that xEcl(M) iff for any r>o
there exsits yEM such that llx-yll
Find all solutions to the following equation. Do you get any extraneous solutions? Explain why or why
not.
2
2
+
x+1x-1
x21
Show all steps in your process. Be sure to state your claim, provide your evidence, and provide your
reasoning before submitting.
Directions: For problems 1 through 3, read each question carefully and be sure to show all work.
1. What is the phase shift for y = 2sin(2x-)?
2. What is the amplitude of y = 7cos(2x+л)?
3. What is the period of y = sin(3x-π)?
Directions: For problems 4 and 5, you were to compare and contrast the two functions in each problem situation. Be sure to
include a discussion of similarities and differences for the periods, amplitudes, y-minimums, y-maximums, and any phase shift
between the two graphs. Write in complete sentences.
4. y 3sin(2x) and y = 3cos(2x)
5. y 4sin(2x) and y = cos(3x- -플)
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