Reminder Round all answers to decimal places unless otherwise indicated.
Hiking You are hiking in a hilly region, and
a. Explain the meaning of
b. Where might you be when
c. You reach a point where
d. Where might you be when
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
- The carbon content of machine steel for gages usually ranges from 0.15% to 0.25%. Round the answers for a and b to 2 decimal places. a. What is the minimum weight of carbon in 250 kilograms of machine steel? b. What is the maximum weight of carbon in 250 kilograms of machine steel?arrow_forwardPower Consumption: The figure shows the power consumption in San Francisco for a day in September (P is measured in megawatts; t is hours stating at midnight). (a) What was the power consumption at 6:00 A.M? At 6:00 P.m.? (b) When was the power consumption the lowest? (c) Find the net change in the power consumption from 9:00 A.M. to 7:00 P.M/arrow_forwardMedical Drugs When a certain medical drug is administered to a patient, the number of milligrams remaining in the patients bloodstream after t hours is modeled by D(t)=50e0.2t How many milligrams of the drug remain in the patients bloodstream after 3 hours?arrow_forward
- Doctors treated a patient at an emergency room from 2:00P.M. to 7:00P.M. The patient’s blood oxygen level L (in percent) during this time period can be modeled by L=0.270t2+3.59t+83.1,2t7 where t represents the time of day, with t=2 corresponding to 2:00P.M. Use the model to estimate the time (rounded to the nearest hour) when the patient’s blood oxygen level was 93 .arrow_forwardThe function A(d) gives the pain level on a scale of 0 to 10 experienced by a patient with d milligrams of a pain- reducing drug in her system.The milligrams of the drug in the patient’s system after t minutes is modeled by m(t) . Which of the following would you do in order to determine when the patient will be at a pain level of 4? a. Evaluate A(m(4)) . b. Evaluate m(A(4)) . c. Solve A(m(t))=4 . d. Solve m(A(d))=4 .arrow_forwardA Mathematical Term: If f=f(x), then we use dfdx to denote the rate of change in f. What is the technical mathematical term for dfdx?arrow_forward
- Computer Virus The number V of computers infected by a virus increases according to the model Vt=100e4.6052t, where t is the time in hours. Find the number of computers infected after (a) 1 hour, (b) 1.5 hours, and (c) 2 hours.arrow_forwardTemperature Conversions In everyday experience, the measure of temperature most often used are Fahrenheit F and Celsius C. Recall that the relationship between them is given by F=1.8C+32. Physicists and chemists often use the Kelvin temperature scale. You can get kelvinsK from degrees Celsius by using K=C+273.15. a. Explain in practical terms what K30 means, and then calculate that value. b. Find a formula expressing the temperature C in degrees Celsius as a function of the temperature K in kelvins. c. Find a formula expressing the temperature F in degrees Fahrenheit as a function of the temperature K in kelvins. d. What is the temperature in degrees Fahrenheit of an object that is 310 kelvins?arrow_forwardRunning Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner’s time at the each of each lap, obtaining the data in the following table. (a) What was the man’s average speed (rate) between 68 s and 152 s? (b) What was the man’s average speed between 263 s and 412 s? (c) Calculate the man’s speed for cadi lap, Is he slowing down, speeding up, or neither?arrow_forward
- SKILL BUILDING EXERCISES Buying a company: You are considering buying a company whose value as a function of time is given by V(t). Would you be more inclined to buy if dVdt is positive, negative or 0?arrow_forwardSales A company that produces snowboards forecasts monthly sales over the next 2 years to be S=23.1+0.442t+4.3cost6 where S is measured in thousands of units and t is the time in months, with t=1 corresponding to January 2017. Predict the sales for each of the following months. a February 2017 b February 2018 c June 2017 d June 2018arrow_forwardBlood Flow As blood moves through a vein or an artery, its velocity v is greatest along the central axis and decreases as the distance r from the central axis increases see the figure. The formula that gives v as the function of r is called the law of laminar flow. For an artery with radius 0.5 cm, the relationship between v in cm/s and r in cm is given by the function v(r)=18,500(0.25r2)0r0.5 a Find v(0.1)andv(0.4). b What do your answers to part a tell you about the flow of blood in this artery? c Make a table of values of v(r)forr=0,0.1,0.2,0.3,0.4,0.5. d Find the net change in the velocity v as r changes from 0.1 cm to 0.5 cm.arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill