Activity Level In the summer the activity level of a certain type of lizard varies according to the time of day. A biologist has determined that the activity level is given by the function a(1) = 0.0087³ – 0.288² + 2.3041 + 7, where t is the number of hours after 12 noon. When is the activ- ity level highest? When is it lowest?

Q: On Monday, a dental hygienist cleans teeth of 5 patients by the time she takes her lunch break at…

A:

Q: Bill plants a 6-inch tomato plant in his garden. The plant grows by about 14% per week for several…

A: We are given that the plant is 6-inch and grows by about 14% per week for several months. Let t be…

Q: The number of cell phone subscribers in the U.S between the years 2000 and 2010 is approximated  by…

A:

Q: Medicine Concentration The concentration C of a medicationin the bloodstream t hours after being…

A: Consider the given function. Ct=−0.002t4+0.039t3−0.285t2+0.766t+0.085 (a)  We have to calculate the…

Q: A crate open at the top has vertical sides, a square bottom, and a volume of 864 cubic meters. Using…

A: We will use derivative test to solve the problem.

Q: A campground owner has 2500m of fencing. He wants to enclose a rectangular field bordering a​ river,…

A: Given, width = x m Let, length = y m So, the total fencing = 2x+y= 2500  So, y=2500-2x  Answer(a):…

Q: Average revenue. Tongue-Tied Sauces, Inc., finds that the revenue, in dollars, from the sale of x…

A: The revenue function from the sale of 'x' bottles of barbecue sauce is given as follows - R(x) =…

Q: The reproduction function for a whale is estimated to be  f(p) = −0.0005p2 + 1.06p,  where p and…

A: Consider the given function, fp=-0.0005p2+1.06p find the first derivative of the function with…

Q: Life Expectancy The figure gives the number ofyears the average man is estimated to live beyond…

A:

Q: The total cost of manufacturing x units during the daily production run at a factory, isC(x) = x^2 +…

A:

Q: The figure shows an open box with a square base and a partition down the middle. The box is to have…

A: A square base with partition in between and height of y

Q: A rectangle has a perimeter of 40 cm. Express the area of the rectangle as a function of the length…

A:

Q: FUNCTIONS During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For the first…

A: first 3 hours of the typhoon, the rain falls at a constant rate of 25 mm per hour. So, if we…

Q: Rate of Increase:-  Which function grows faster as n approaches infinity? Explain. f (n) = 7n…

A:

Q: Q1 Functions: Graphs of Functions Chai tea is a favorite drink of many given its spicy flavor and…

A: NOTE:- AS PER BARTLEBY GUIDELINES WE ARE ANSWERING FIRST THREE PART OF THE QUESTIONS. KINDLY REPOST…

Q: The weekly profit P for a widget producer is a function of the number n of widgets sold. The formula…

A: Given P=-5+2.6n-0.2n2

Q: A crate open at the top has vertical sides, a square bottom, and a volume of 864 cubic meters. Using…

A: Here base = x , height = h      So , Surface Area = x2 + 4xh

Q: A model for the yield of an agricultural crop as a function of the nitrogen level N and phosphorus…

A:

Q: The figure shows an open box with a square base and a partition down the middle. The box is to have…

A: In the given diagram of open box with a square base and a partition down the middle. The height of…

Q: Depreciation A business property valued at $300,000is depreciated over 30 years by the straight-line…

A: The depreciation function is: V=300,000-10,000x

Q: A marine biologist is testing a new under water probe. The probe is catapulted from the ship into…

A: It is given that the probe enters the water at 3 seconds that is    f(x=3)=0       to find how long…

Q: Junker Renovation completely overhauls junked or abandoned cars. Data shows their 1970's models hold…

A:

Q: The reproduction function for king salmon in a sea is f(p) = - p + 8.5p, where p and f(p) are in…

A: Given,           The reproduction function for king salmon in a sea is fp=-14p2+8.5p ;…

Q: function C gives the number of bushels of corn produced on a tract of farmland that is treated with…

A: C is the number of bushels of corn produced . C91 can not be negative since the smallest amount of…

Q: Carbon Monoxide Pollution The number of cars running in the business district of a town at time t is…

A: topic - composite functions

Q: Sales of an electronic device are projected to decline at a rate given by the function -25 Vt2 where…

A: Given, dS/dt= -25t2/3 where, dS/dt is the rate at which the sale of the electronic devices decline.

Q: The output y of a manufacturing process is a function of the size of labor force n using the…

A: Given that, The function of size labor force n is, (a)   To calculate the expression for the…

Q: ut-of-pocket spending in a country for health care increased between 2003 and 2008. The function…

A: Here we calculate only by putting the values in the given equation

Q: The reproduction function for king salmon in a sea is f(p) = - p? + 9.5p, where p and f(p) are in…

A: Given, The reproduction function  fp = -18p2+9.5p  We have to find the population p which gives…

Q: Handwritten # 4.- In the year 2012, the population of Clackamas County was 340 thousand people. In…

A:

Q: An ice cube tray holding room temperature (21 C) water is placed into the freezer. The time it takes…

A: Topic = Graph

Q: Junker Renovation completely overhauls junked or abandoned cars. Data shows their 1970's models hold…

A: Find the long-term value of one of these cars: fx=75−14xx+2For long term value,x→∞,then find…

Q: What is the symmetry of the function? f(x)=6x/x^2-4 Origin symmetry Y-axis symmetry neither…

A: Note that  (1)   The function f(x) is said to be origin symmetry if  f(-x)= - f(x) (2)   The…

Q: A roof has a 0.4-inch layer of ice on it from a previous storm. Another ice storm begins to deposit…

A:

Q: 51. Classic Cars Sonia Orta invests in vintage automobiles. Three years ago, she purchased a 1953…

A: Given that, three years ago Sonia Orta purchased a 1953 corvette roadster for $99,000. Two years ago…

Q: Out-of-pocket spending in a country for health care increased between 2003 and 2008. The function…

A:

Q: A contractor is constructing the house shown in the figure. The cross section up to the roof is in…

A: The area of the rectangular floor of the house is given as 2500 square feet. The width of the…

Q: The reaction R of the body to a dose M of medication is often represented by the general function…

A:

Q: World wind energy generating1 capacity, W, was 371 gigawatts by the end of 2014 and has been…

A: An exponential growth can be represented by the formula y=aert where a is the initial value, r is…

Q: Out-of-pocket spending in a country for health care increased between 2002 and 2006. The function…

A:

Q: A "surge function" is used in a wide range of mathematical models of real- world phenomenon, such as…

A: The given function S(t)=Ate-kt,  where A, k are both positive constants.

Q: The total cost of manufacturing x units  during the daily production run  at a factory, is C(x) = x2…

A: Given:

Q: The yearly profit P for a widget producer is a function of the number n of widgets sold. The formula…

A:

Q: Abortions The number of abortions in the UnitedStates per 1000 women aged 15–44 can be modeledby the…

A: Given function is, y=-0.026x2+0.951x+18.161, where x is the number of years after 1970 and y is…

Q: Solve. The function A = Age-0.01386x models the amount in pounds of a particular %3D radioactive…

A: Decay model

Q: A baseball team plays in a stadium that holds 53,000 spectators. With the ticket price at $10, the…

A: Given,         A baseball team plays in a stadium that holds 53,000 spectators. With the ticket…

Q: The function C=g(t) gives the concentration of a drug (in ng per ml) t minutes after a drug was…

A: Solution is given below...

Q: An employee's monthly productivity M, in number of units produced, is found to be a function of the…

A:

Q: 7. Printing Cost A publisher estimates that the cost C(x) of printing a run of x copies of a certain…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The figure shows an open box with a square base. The box is to have a volume of 10 cubic feet.…

A: Given- The box is to have a volume of 10 cubic feet. To express- The amount of material needed to…