In Problems 17 and 18 , a relation expressed verbally is given. What is the domain and the range of relation ? Express the relation using mapping. Express the relation as a set of ordered pairs. The density of a gas under constant pressure depends on temperature. Holding pressure constant at 14.5 pounds per square inch, a chemist measures the density of an oxygen sample at temperatures of 0 , 22 , 40 , 70 , and 100 o C and obtains densities of 1.411 , 1.305 , 1.229 , 1.121 , and 1.031 k g / m 3 , respectively.
In Problems 17 and 18 , a relation expressed verbally is given. What is the domain and the range of relation ? Express the relation using mapping. Express the relation as a set of ordered pairs. The density of a gas under constant pressure depends on temperature. Holding pressure constant at 14.5 pounds per square inch, a chemist measures the density of an oxygen sample at temperatures of 0 , 22 , 40 , 70 , and 100 o C and obtains densities of 1.411 , 1.305 , 1.229 , 1.121 , and 1.031 k g / m 3 , respectively.
Solution Summary: The author explains that the relation is defined as temperature as input and densities as output.
In Problems
17
and
18
, a relation expressed verbally is given.
What is the domain and the range of relation
?
Express the relation using mapping.
Express the relation as a set of ordered pairs.
The density of a gas under constant pressure depends on temperature. Holding pressure constant at
14.5
pounds per square inch, a chemist measures the density of an oxygen sample at temperatures of
0
,
22
,
40
,
70
,
and
100
o
C
and obtains densities of
1.411
,
1.305
,
1.229
,
1.121
,
and
1.031
k
g
/
m
3
, respectively.
The peak flow rate of a person is the fastest rate at which the person can expel air after taking a deep breath.Peak flow rate is measured in units of liters per minute and gives an indication of the person’s respiratoryhealth. Researchers measured peak flow rate and height for each of a sample of 17 men. The results are givenin the table. (image included)
a. Create a scatterplot displaying the relationship between peak flow rate and height.b. Calculate the sample correlation coefficient for peak flow rate and height.c. If we were to predict the peak flow rate using height with a least-squares regression model, whatis the slope estimate ˆb?d. Continuing with part a, what is the intercept estimate ˆa?e. Based on the regression model, what is the predicted peak flow rate for a subject that is 175cmtall?f. Looking at the original data, subject 8 is 175cm tall with a peak flow rate of 670l/min. What isthe residual for this subject?g. Fit the least-squares model in R. What is the…
Many factors influence a plant's uptake of boron from the soil, but one key factor is soil type. One experiment† compared plant content C of boron, in parts per million, with the amount B, in parts per million, of water-soluble boron in the soil. In Decatur silty clay the relation is given by C = 33.78 + 37.5B.In Hartsells fine sandy loam the relation is given by C = 31.22 + 71.17B.
(a) What amount of water-soluble boron available will result in the same plant content of boron for Decatur silty clay and Hartsells fine sandy loam? (If you choose to solve this problem graphically, we suggest a horizontal span of 0 to 0.5 for B. Round your answer to three decimal places.) part per million(b) For available boron amounts larger than that found in part (a), which of the two soil types results in the larger plant content of boron?
Hartsells fine sandy loamDecatur silty clay
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY