Math Midterm - Calculus
I need help with my math midterm which will be after 12 hours from now! CHAPTER 1 1. The following graph shows the number, in millions, of students graduating from high school in the U.S., in the given year. a. Explain in practical terms what N(1989) means and find its value. b. Use functional notation to express the number of graduates in 1988 and estimate its value. c. Find the average rate of change per year during the period 1989 – 1991. d. Use part c to try to estimate N(1992) 0. The following graph shows a population N=N(d), where d is the date. a. Is the function increasing, decreasing, or neither for d from 2006 to 2016? b. When is the function concave down and when is it concave up? Give the ranges in years. c. At what date is there an inflection point? 0. You currently have $780 in your bank account, which pays no interest. You withdraw $39 each week. Find a formula for the balance B, in dollars, in the account after t weeks. 0. One cell phone plan charges a flat monthly rate of $39.95 with extra charges of $0.10 per text message after the first 100 text messages. a. Choose letters to represent the variables b. Write a formula to express the cell phone charges as a function of the number of text messages (assume that the number of text messages is at least 100.) c. Use functional notation to represent the cost of the cell phone if you have 450 text messages. d. Use the formula from part b to calculate the cost. e. Write a formula to express the charges assuming the number of text messages is less than 100. 0. It starts to snow when there is already snow on the ground. The depth, in inches, of the snow t hours later is given by  S(t)=10.00 + 0.4t. ​ a. How much snow was on the ground when the snow started to fall? b. By how much did the depth of snow increase from hour 3.00 to hour 6.00? c. Snow ceases to fall after 10 hours. What is the resulting depth of snow on the ground? 0. The following table shows the U.S. population, in millions, in the given year. d = year 1960 1970 1980 1990 2000 N= population in millions 179.32 203.3 226.54 248.71 281.42 ​ a. Calculate the average rate of change from 1980 to 1990 b. Use the average rate of change to estimate the U.S. population in 1982. 0. A hot potato is placed on the kitchen counter to cool. Its temperature after t minutes is given by T(t). The temperature of the kitchen is 74 degrees Fahrenheit. What is the limiting value of ​T? 0. The graph below shows the growth rate G, in water fleas per day, of a population of water fleas as a function of the population size N.  Calculate the average rate of change in G from 130 to 160 water fleas. Round to 3 decimal places. 0. You sell earrings for $6.33 each. You paid $57.21 for supplies to make the earrings.  Write a formula for the profit P, in dollars, you make from making and selling E earrings, where the most earrings you can make with the supplies is 26. 0. The weight W, in pounds, of a rock is proportional to its volume V, in cubic inches.  The constant of proportionality is the density, d, in pounds per cubic inch. ​ a. Write a formula that expresses the proportionality relationship. b. What is the weight of a rock that has a density of 1.02 pounds per cubic inch and a volume of 14 cubic inches? 0. The world record time for a certain track event in 2000 was 74.98 seconds.  In the ensuing years, the record time has decreased by 0.94 seconds each year.   ​ a. Write a formula for the record R, in seconds, t years after 2000. b. Use functional notation to express the record in 2002. c. Calculate the value you found in part B 0. You start with $32.28 in your piggy bank and add $9.28 each week.  Write a formula for the amount P of money, in dollars, in your piggy bank after t weeks. 0. The graph below shows the value, in dollars, of a foreign currency t years after 2000. In what year from 2000 to 2020 did the value of the foreign currency reach its maximum, and what was that maximum value?  CHAPTER 2 0. The number of deer on the George Reserve t years after introduction is given by N=6.210.035 + 0.45t   deer. a. How many deer were introduced into the deer reserve? b. Calculate N(4) and explain the meaning of the number you have calculated. c. Find the carrying capacity for deer in the reserve. d. Explain how the population varies with time. Include the average rate of increase over each 2-year period for the first 8 years. 0. A gliding bird’s movement is measured in terms of the rate at which the bird’s altitude decreases, the sinking speed s, and the airspeed u. For a gliding pigeon, these are related by                              s=u32500+ 25u . Here s and u are measured in meters per second. a. Make a graph of the sinking speed s as a function of the airspeed u for values of u up to 20 meters per second. b. At what airspeed does the smallest sinking speed occur? c. If the airspeed is very slow, does the pigeon sink quickly or slowly?  0. The profit P, in millions of dollars, that a manufacturer makes is a function of the number N, in millions, of items produced in a year, and the formula is                             P=10N-N2-6.34  . A negative quantity for P represents a negative profit—that is, a loss—and the formula is valid up to a level of 10 million items produced. a. Express using functional notation the profit at a production level of 7 million items. b. What is the loss at a production level of N = 0? c. Determine the two break-even points for this manufacturer—that is, the two production levels at which the profit is zero. d. Determine the production level that gives maximum profit, and determine the amount of the maximum profit. 0. If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula  D = 0.265 t2 – 4.055t +15.5 where t is the time, in minutes, that the spigot is open and D is the depth, in inches, above the spigot. a. Make a graph of D versus t. Include values of t up to 7.5 minutes. b. Calculate D(3) and explain in practical terms what your answer means. c. When will the water jug be completely drained? d. Does the water drain faster near the beginning or when the water is mostly drained?   0. We want to form a free-standing rectangular pen. Let W be the width, in feet, and L the length, in feet. Let F be the total amount of fence needed. Assume that the total area of the pen will be 144 square feet. a. Write a formula for F in terms of W and L. b. Express, as an equation involving W and L, the requirement that the total area of the pen be 144 square feet. c. Solve the equation you found in part b for W. d. Use your answers to parts a and c to find a formula for F in terms of L alone. e. Make a graph of F versus L for values of L up to 24 feet. f. Determine the dimensions of the pen that require the minimum amount of fence. Explain how your graph from part e illustrates or confirms your answer.   0. The length of North Sea sole, a species of fish, can be determined using the von Bertalanffy model by the formula L=14.8-19.106×0.631t Here t is age, in years, and L is length, in inches. a. Make a graph of L versus t. Include values of t from 1 to 10 years. b. Use functional notation to express the length of a 4-year-old sole, and then calculate that value. c. At what age will a sole be 10 inches long? d. What is the limiting length for a North Sea sole? 0. The three principal measures of temperature are Fahrenheit F, Celsius C, and Kelvin K. These are related by the formulas below: F = 1.8C + 32 K = C + 273.15 a. Solve each of the equations for C. b. Find a formula expressing F in terms of K. c. Find a formula expressing K in terms of F. d. Express the temperature 0 degrees Celsius in terms of degrees Fahrenheit and in terms of kelvins (degrees on the Kelvin scale). e. Express the temperature 72 degrees Fahrenheit in terms of degrees Celsius and in terms of kelvins. 0. The red curve represents the temperature of a metal bar in degrees Fahrenheit as a function of time, t, in minutes.  a. Write the inequality for the time when the bar is at least 720 degrees. b. Write the inequality for the time when the bar is at least 700 degrees. 0. The cost function, C(n) = 743 – 0.36n + 0.00012n2 is graphed below a. At what value of n does the minimum cost occur? b. What is the minimum? Answers 1. a. The number of students in the millions that graduated from high school in the U.S. in 1989 b.   C.    d.    2. a.  increasing b.  concave up 2006-2012   and concave down 2012-2016 c. 2012 3.   B = 780 – 39t 4. a.  Let C = total charges and n = the number of texts b.   c.    d.    e.    5.   a.  10 inches b.  12.4 – 11.2 = 1.2 inches c.  10 – 0.4(10) = 14 inches 6. a.  million/year b.  million 7.  74 degrees 8.   9.  for 0 ≤ E ≤ 26 10. a.    b.  pounds 11. a.   b. c.  seconds 12.   13. Maximum occurred in 2008 and the maximum was 1.8 14.  a. 6 b. 82 deer after 4 years c. 177 d. From t=0 to t=2 increase was 10.07, from t=2 to t = 4 increase was 40.8. from t = 4 to t = 6 the increase was 30.85, then from t = 6 to t = 8 the increase was 12.94 deer per year. The rate of increase was increasing and then decreasing, though the population was increasing all 8 years. 15.  a. b. 12.01 meters per second c. Quickly  16.  a. P(7) b. Loss of 6.34 million dollars c. N = 0.68 million and N = 9.32 million items d. N = 5 million items, profit of 18.66 million dollars. 17. a b. D(3) = 5.72, the water in the jug is 5.72 inches deep c. At 7.436 seconds d. Drained fastest at the beginning 18. a. F = 2L + 2W b. L·W = 144 c. W=144L d. F=2L+2144L e. f. Length of 12 feet which would use 48 feet of fence. It is the lowest point in the graph. 19. a. b. L(4) = 11.77 c. 3 years d. 14.8 inches 20. a. C=F-321.8 and C=K-273.15 b. F=1.8K-273.15+32 c. K=F-321.8+273.15 d. 0°C = 32°F = 273.15°K e. 72°F = 22.2°C = 295.37°K 21. a. 2.557≤ t ≤ 3.923 b. 2.079 ≤ t ≤ 4.941 22. a. minumum occurs at n=1500 b. C(1500) = 473
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Your assignment may be more than 5 paragraphs but not less. INSTRUCTIONS:  To access the FNU Online Library for journals and articles you can go the FNU library link here:  https://www.fnu.edu/library/ In order to n that draws upon the theoretical reading to explain and contextualize the design choices. Be sure to directly quote or paraphrase the reading ce to the vaccine. Your campaign must educate and inform the audience on the benefits but also create for safe and open dialogue. A key metric of your campaign will be the direct increase in numbers.  Key outcomes: The approach that you take must be clear Mechanical Engineering Organic chemistry Geometry nment Topic You will need to pick one topic for your project (5 pts) Literature search You will need to perform a literature search for your topic Geophysics you been involved with a company doing a redesign of business processes Communication on Customer Relations. 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Throughout your nurse practitioner program Vignette Understanding Gender Fluidity Providing Inclusive Quality Care Affirming Clinical Encounters Conclusion References Nurse Practitioner Knowledge Mechanics and word limit is unit as a guide only. The assessment may be re-attempted on two further occasions (maximum three attempts in total). All assessments must be resubmitted 3 days within receiving your unsatisfactory grade. You must clearly indicate “Re-su Trigonometry Article writing Other 5. June 29 After the components sending to the manufacturing house 1. In 1972 the Furman v. Georgia case resulted in a decision that would put action into motion. Furman was originally sentenced to death because of a murder he committed in Georgia but the court debated whether or not this was a violation of his 8th amend One of the first conflicts that would need to be investigated would be whether the human service professional followed the responsibility to client ethical standard.  While developing a relationship with client it is important to clarify that if danger or Ethical behavior is a critical topic in the workplace because the impact of it can make or break a business No matter which type of health care organization With a direct sale During the pandemic Computers are being used to monitor the spread of outbreaks in different areas of the world and with this record 3. Furman v. Georgia is a U.S Supreme Court case that resolves around the Eighth Amendments ban on cruel and unsual punishment in death penalty cases. The Furman v. Georgia case was based on Furman being convicted of murder in Georgia. 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Georgia (1972) is a landmark case that involved Eighth Amendment’s ban of unusual and cruel punishment in death penalty cases (Furman v. Georgia (1972) With covid coming into place In my opinion with Not necessarily all home buyers are the same! When you choose to work with we buy ugly houses Baltimore & nationwide USA The ability to view ourselves from an unbiased perspective allows us to critically assess our personal strengths and weaknesses. This is an important step in the process of finding the right resources for our personal learning style. Ego and pride can be · By Day 1 of this week While you must form your answers to the questions below from our assigned reading material CliftonLarsonAllen LLP (2013) 5 The family dynamic is awkward at first since the most outgoing and straight forward person in the family in Linda Urien The most important benefit of my statistical analysis would be the accuracy with which I interpret the data. 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The team is currently using an I would start off with Linda on repeating her options for the child and going over what she is feeling with each option.  I would want to find out what she is afraid of.  I would avoid asking her any “why” questions because I want her to be in the here an Summarize the advantages and disadvantages of using an Internet site as means of collecting data for psychological research (Comp 2.1) 25.0\% Summarization of the advantages and disadvantages of using an Internet site as means of collecting data for psych Identify the type of research used in a chosen study Compose a 1 Optics effect relationship becomes more difficult—as the researcher cannot enact total control of another person even in an experimental environment. Social workers serve clients in highly complex real-world environments. 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