Biocalculus
15th Edition
ISBN: 9781133109631
Author: Stewart, JAMES, Day, Troy
Publisher: Cengage Learning,
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Chapter 3.6, Problem 2P
To determine
To calculate: Using case study of the rate and concentration of RBC loss with patient’s concentration condition given in the problem..
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A specimen of connective tissue (collagen) can be obtained from a beef steak. The temperature at which the collagen shrinks can be determined. A tender piece of meat tends to have a low collagen shrinkage temperature. So, the lower shrinkage temperature, the more tender the meat.It is believed that electrical stimulation of a beef carcass could improve the tenderness of the meat. In one study of this effect, beef carcasses were split in half; one side (half) was subjected to a brief electrical current and the other side was an untreated control. For each side, a steak was cut and tested in various ways for tenderness. In one test, the experimenter obtained a specimen of the connective collagen tissue from the steak and determined the temperature at which the tissue would shrink. The experimenter wishes to prove that electrical stimulation tends to improve the tenderness of the meat. The raw data are found in the table below. Let ? = 0.01.
Table 1: Collagen Shrinkage Temperature…
DDT (dichlorodiphenyltrichloroethane) was used extensively from 1940 to 1970 as an insecticide. It still sees limited use for control of disease. But DDT was found to be harmful to plants and animals, including humans, and its effects were found to be lasting. The amount of time that DDT remains in the environment depends on many factors, but the following table shows what can be expected of 200 kilograms of DDT that has seeped into the soil.
t = time in yearssince application
D = DDT remaining,kilograms
0
200.00
1
190.00
2
180.50
3
171.48
(a) Show that the data are exponential.
The ratio from year 0 to year 1 is ______ , from year 1 to year 2 is ____ , and from year 2 to year 3 is_____ (rounded to two decimal places). Because these successive ratios are all , a) different b)the same , the data are exponential.
Find the antiderivative of this function and provide the solution.
Chapter 3 Solutions
Biocalculus
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
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- Get the appropriate dv so that the antiderivative will exist.arrow_forwardLichen has a high absorbance capacity for radiation fallout from nuclear accidents. Since lichen is a major source for Alaskan caribou, and caribou is major food source tor the Alaskan villagers, it is important to monitor the level of radioactivity in lichen. Researcher at the University of Alaska, Fairbanks, collected 9 lichen specimens and measured the amount in micro-curies per milliliter) of the radioactive element cesium-137 for each. Using the Minitab software, it was found that the mean and standard deviation for the 9 observations were X = 0.009027 аnd s = 0.004854 A) Give a point estimate for the mean amount of cesium in lichen specimens collected in Alaska. B) Give the t- value used in a small sample 95% confidence interval for the true mean amount of cesium in Alaskan lichen specimens. C) Form a 95% confidence interval for the true mean amount of cesium in Alaskan lichen specimens. D) Give a practical interpretation for the interval you obtained in part C. E) What…arrow_forwardButz et al. evaluated the duration of benefit derived from the use of noninvasive positive-pressure ventilation by patients with amyotrophic lateral sclerosis (ALS) on symptoms, quality of life and survival. ALS, aka Lou Gehrig's Disease, is a degenerative disease of the motor neurons. One of the variables of interest is partial pressure of arterial carbon dioxide (PaCO2). The values below (measured in mm Hg) reflect the results of baseline testing on 20 of the 30 subjects in the study, as established by arterial blood gas analyses. (Am. J Med. Rehab. 2003, 82:597-604) 40 47 34 42 54 48 54 57 58 4554 54 43 44 63 42 33 43 52 38 Draw a boxplot of the data. You may use a computer program for this step and Find the skewness and kurtosis using Excel or Matlab.arrow_forward
- Butz et al. evaluated the duration of benefit derived from the use of noninvasive positive-pressure ventilation by patients with amyotrophic lateral sclerosis (ALS) on symptoms, quality of life and survival. ALS, aka Lou Gehrig's Disease, is a degenerative disease of the motor neurons. One of the variables of interest is partial pressure of arterial carbon dioxide (PaCO2). The values below (measured in mm Hg) reflect the results of baseline testing on 20 of the 30 subjects in the study, as established by arterial blood gas analyses. (Am. J Med. Rehab. 2003, 82:597-604) 40 47 34 42 54 48 54 57 58 4554 54 43 44 63 42 33 43 52 38 Find the skewness and kurtosis using Excel or Matlab. And Determine if the data are too skewed or too leptokurtic or platykurtic. Also, Determine the coefficient of variation.arrow_forwardButz et al. evaluated the duration of benefit derived from the use of noninvasive positive-pressure ventilation by patients with amyotrophic lateral sclerosis (ALS) on symptoms, quality of life and survival. ALS, aka Lou Gehrig's Disease, is a degenerative disease of the motor neurons. One of the variables of interest is partial pressure of arterial carbon dioxide (PaCO2). The values below (measured in mm Hg) reflect the results of baseline testing on 20 of the 30 subjects in the study, as established by arterial blood gas analyses. (Am. J Med. Rehab. 2003, 82:597-604) 40 47 34 42 54 48 54 57 58 45 54 54 43 44 63 42 33 43 52 38 Draw a histogram of the data. You may use a computer program (Excel or Matlab) for this step. (Use Sturges' rule to determine a good number of bins, and a good bin range. Remember, bin ranges should be reasonable, like 15-19, not 13.4-18.3.) Hint: To create a histogram, you would first need to decide on the bin ranges. Since the data is numerical and ratio,…arrow_forwardAviation and high-altitude physiology is a specialty in the study of medicine. Let x = oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet). partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure (units: mm Hg/10) (units: mm Hg/10) 7.3 4.6 4.2 3.3 2.1 42.4 31.7 26.2 16.2 13.9 (a) Verify that Ex = 21.5, Ey = 130.4, Ex = 107.39, Ey = 3944.74, Exy = 648.03, and r- 0.969. %3D %3D %3D %3D %3D Σχ Ex? Ey2 Σχy (b) Use a 10% level of significance to test the claim that p > 0. (Use 2 decimal places.) critical t Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null…arrow_forward
- A sports physiologist is investigating whether water or Gatorade provides the best hydration for athletes after training. A sample of 50 athletes between the ages of 18 and 30 was selected. On two consecutive days, each athlete ran 5 miles at a steady rate on a treadmill in a 75-degree room. On one of these days, 32 ounces of water was consumed after running. On the other day, 32 ounces of Gatorade was consumed after running. For each athlete, which beverage was consumed first was randomized. Hydration one hour after beverage consumption was measured, and results for the two beverages were compared. Which of the following is the best description of this study? (A) An experiment using a completely randomized design (B) An experiment using a matched-pairs design (C) An observational study using a simple random sample (D) An observational study using a cluster sample (E) An observational study using a stratified samplearrow_forwardA veterinary nutritionist developed a diet for overweight dogs. The total volume of food consumed remains the same, but one-half of the dog food is replaced with a low-calorie "filler" such as canned green beans. Six overweight dogs were randomly selected from her practice and were put on this program. Their initial weights were recorded, and they were weighed again after 4 weeks. The results of the experiment are shown below. At a=0.05, can it be concluded that the dogs significantly lost weight? Before 42 53 48 65 40 52 After 39 45 40 58 42 47arrow_forwardAccumulation of mercury (Hg) in fish is hypothesized to correlate with the fish size. Barbonymus schwanenfeldii is a species commonly found in a dam in Sarawak. Table 1 shows data of Hg concentration (mg/kg) present in three sizes of fish caught in the dam in triplicates. (i, ii, iii was already answered.)arrow_forward
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