A chemist is carrying out laboratory experiments to verify the operation of a new pharmacy on abacterium. The model makes a count of the number of bacteria present in the sample with respect to thetime in hours, from which the drug is supplied and is:N (t) = 10t³ - 255t² + 1800t + 1000a) According to the model presented, how many bacteria were counted before administering the drug?b) How long after the drug is administered do the first signs of its effectiveness appear? That is, at whatpoint do bacteria begin to decline?c) At what time does the drug show its best result? That is, at what time does it maximize and reach thelowest number of bacteria?d) If the drug must be administered again as soon as it begins to stop working, how long after should anew dose be administered?

The population of bacteria is defined using the equation: N(t)=10t3-255t2+1800t+1000, where t is the…

Answered: A chemist is carrying out laboratory…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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b) Data was collected on 344 corporate executives to find out the effect of MBA degree and work experience on their salary. The following model was estimated: Y = 2.3501 + 3.6306D11 – 2.6354 D2i + 0.8527 X¡ + 1.634 (D, * X)i (2.1805) (- 3.457) (1.263) (7.605) (2.98) R? = 0.8968 Y: Annual Income in Lakhs of Rupees Di and D2 are MBA and gender dummies respectively X: Work experience in years DI = 1 if one has MBA degree = 0 otherwise D2 = 1 for a female executive = 0 for a male executive i. Write the regression equations for female MBA executives and male MBA executives separately. ii. Find the mean income level for the reference category and interpret it. iii. Test the statistical significance of differential intercept coefficient between female MBA executives and Male MBA executives at 5% level of significance. iv. Interpret the coefficient of D,*Xi.
A 3-ply core/sheath yarn consists of a 250 denier (core) yarn, and two 200 denier (sheath) yarns. Analysis of the plied yarn showed that 1 mof the plied yarn has 1.08 m each of the two 200 denieryarns, and 1 m of the core yarn. (a) What is the denier of the plied yarn? (b) What is the cotton count of the plied yarn? Show calculations.
If an antibiotic is taken orally, only a fraction of the antibiotic is actually absorbed in the bloodstream. This fraction is called bioavailability of the dose. Suppose that for a specific antibiotic, when a mg is taken orally, only 50% of the dose is absorbed, that is the bioavailability can be expressed as 2 I. Now, if h mg of antibiotic enters the bloodstream, the amount eventually absorbed at the site of the infection 4h is g(h) = mg. h+ 4 !! Finally, if g mg is absorbed into the site of the infection, the number of surviving bacteria is given by 3000 f(9) = CFU (colony forming units). %3D 9+g? a) If a dose of 8 mg is given orally, compute the amount of antibiotic absorbed at the site of infection. An er: mg. Round to 1 decimal place as needed. b) If an amount of 7 mg enters the bloodstream, compute the amount that is eventaully absorbed at the site of the infection. Answer: mg. Round to1 decimal place as needed. c) If a dose of 6 mg is injected directly into the bloodstream…
A student is taking courses at a local college as a prerequisite to get into a university program they are interested in. Their school uses a 4.0 GPA scale, meaning the highest possible GPA is 4.0. The average GPA for applicants accepted into their program of interest is 3.44. This student has already completed 3 semesters of their college program, with each semester consisting of 5 credits for a total weight of 15 credits. Their GPA over these 15 credits is 3.36. If they take a fourth semester with an additional 5 credits, what GPA must they obtain in their courses for the fourth semester (only the fourth semester) in order to bring their total GPA for all 20 credits across all four semesters up to 3.44?
Engineers at a large company are trying to investigate if there is any difference in the average wear of brand A, brand B or brand C tires for the company's new models. To help them arrive at a decision, an experiment is conducted using 11 of each brand. The tires are run until they wear out. The results ( in kilometres) are as follows: Brand A: xī = 37,900 S1 = 5100 Brand B: X2 = 39,800 S2 = 5900 Brand C: X3 =38,500 S3 = 5600
A certain species of virulent bacteria is being grown in a culture. It is observed that the rate of growth of the bacterial population is proportional to the number present. If there were 1000 bacteria in the initial polulation and the number doubled after the first 60 minutes, how many bacteria will be present after 2 hours? a) 03,000 b) 07,000 c) 04,000 d) 06,000 e) 02,000
A town's raccoon population is growing exponentially. The expected population can be estimated using the relation P = 1350 (1.013)", where P is the population and n is the number of years. a) What was the current raccoon population? b) What is the expected population in 5 years?
A bacteria culture is known to grow at a rate proportional to the amount present. After one hour, 1000 bacteria are observed in the culture; and after four hours, the population increased by 150%. Find an expression for the number of bacteria present in the culture at any time t. Select the correct response: 1000 e0.366t /2.5 P P = Poekt 1000 e0.305t V2.5 P = none of these P = 400V6.25e0.333 ln 2.5t P = 694e0.366t
3'21. Out of a total number of 1.807 women who were interviewed for employment. in a Pextile factory of Mumbai; 512 were from textile greas and the rest from the non-textile areas. Amongst the married women who belonged to textile areas. 247 were experienced and 73 inexperienced, while for non- textile areas, the corresponding figures were 49 and 520. The total number of inexperienced women was 541 of whom 111 resided in textile areas. Of the total number of women, 918 were unmarried and of these the number of experienced women in the textile and non-textile areas was 154 and 16 respectively. Tabulate. 29 3
Sol". :-(a) M=80 o=20 34% (34% 13S 244% 20 4o 60 80 L00 120 L40 M-o=80-20 = 60 Nto = 80+20 =1r0 %3D H-20 = 80-2X20 =40 , H+20 = 80+2x20 = 120 %3D M-30= B0-3X 20 = 20, M+30=Bot3x2=140 %3D nſ X-N ii) How many students are eligible to receive th scholarship? What score separates the top 1% of students from the bottom 99% ? c) The Ministry of Education has developed a 3-tier rating for secondary schools. Students’ Common Entrance scores determine whether they attend a school in Tier 1, Tier 2 or Tier 3. For students to attend a Tier 1 School, they must score 85% or higher on the Common Entrance Score. A score between 60% and 85% will get students to a Tier 2 School. A Tier 3 school will accept students with scores below 60%. What percentage of students will attend schools in each Tier? Tier 1 Tier 2 Tier 3
calculator Google Search × New Tab Quiz: Practice Questions for Am × + tcinstructure.com/courses/2438849/quizzes/8459601/take D Question 1 uncements 123 les 3365 omes & Events ent Resources 1 pts Assuming there were no buying/selling fees, what would be the total capital gain if 107 shares of DCBA stock were purchased for $33.88 per share and all 107 shares were sold for $41.66 per share six months later? Round your answer to the nearest penny. Input just the number. Do not input the dollar sign. Do not use a comma. Example: 1021.57 Question 2 1 pts Updates e Evaluations Zoe was comparing the variability of three of her stocks. Over the last month EAC stock had a mean price of $32.81 per share with a standard deviation of $1.52, while FJF stock had a mean price of $44.28 per share with a standard deviation of $3.1, and QSR stock had a mean price of $51.7 per share with a standard deviation of $2.79. Out of these three stocks, what was the smallest coefficient of variation? Round your…
NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6 Step 1 of 2 : Suppose a sample of 595 people is drawn. Of these people, 315 passed out at G forces greater than 6. Using the data, estimate the proportion of people who pass out at more than 6 Gs. Enter your answer as a fraction or a decimal number rounded to three decimal places.

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