(ii) An efficiency study of the morning shift at a certain factory indicates that an averageworker arriving on the job at 7: 00 A. M. will have assembled f (x) = x3 + 6x2 + 15xunits x hours later. Approximately how many units will the worker assemblebetween 8: 00 and 8: 15 A. M. ?

Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: 5. The management of Porter Airlines finds that its monthly m approximated by R(x) = 0.96 – 0.0064x

A:

Q: The median size of a new single-family house built in the United States between 1987 and 2001 can be…

A: The median size of a new single-family house built in the United States is modeled by the equation…

Q: diau uonsann Suppose the average number of vehicles arriving at the main gate of an amusement park…

A: Answer: (a) The admittance is about 20 vehicles per minute. (nearest tenth value) (b) 3 attendants…

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A:

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A:

Q: It was determined that the number of prey consumed by a predator over a period of time was a…

A:

Q: (1) If you have been hired at an annual salary of $23,000 and expect to receive annual increases of…

A: Since there are multiple questions the first question is answered as per our guidelines. kindly…

Q: Given a total-revenue function R(x) = 800/x - 0.2x and a total-cost function C(x) = 1600 (x +5)+…

A: Total-revenue function R(x)= 800x2-0.2x Total-cost function C(x)= 1600(x2+5)13+500 Profit function…

Q: An efficiency study of the morning shift at a factory indicates that an average worker arriving on…

A:

Q: The cost function for the manufacture of portable MP3 players is given by: C(x) = 25,000 + 20x +…

A: Given cost function is C(x) = 25,000 + 20x + 0.001x2  So the average cost function is…

Q: A construction company has determined its price-demand function for a certain product is given by…

A: A construction company has determined its price-demand function for a certain product(i.e., price…

Q: Is f(x)=(2x^3) + (300/x^3) + 4 increasing, decreasing or not changing at x=-2? * Decreasing…

A: Given: fx=2x3+300x3+4

Q: The median size of a new single-family house built in the United States between 1987 and 2001 can be…

A: H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514We need find the value of 'x' such that dHdxis…

Q: When professors select texts for their courses, they usually choose from among the books already on…

A: The first-year sales are given by the function

Q: 4) Suppose that x thousand units of a product will be sold when the price is p(x) = -2x + 31 dollars…

A: Please see the explanation below

Q: An article† in The New York Times states, "The number of gas stations [in a city] grows only in…

A: Part (a) G1=cN10.77G2=cN20.77N2=2N1G2=c2N10.77G2=c20.77N10.77G2=20.77G1G2=1.705G1G2≈1.71G1 If one…

Q: The median size of a new single-family house built in the United States between 1987 and 2001 can be…

A:

Q: On a college campus of 5000 students, the spread of flu virus through the student is modeled by P(t)…

A: The spread of the flu among the students is given by the equation P(t)=50001+4999e-0.8t where, P(t)…

Q: 7. Given the profit function P(x) = 500x –- where 100 x is number of units sold. Find x to get…

A:

Q: Coffee consumption in the United States is greater on a per capita basis than anywhere else in the…

A: Given, fx=2.77+0.0848x-0.00832x2+0.000144x3.   The objective is to draw the graph of given function…

Q: An ichthyologist has discovered that the weight of a certain species of fish is a power function of…

A:

Q: 13. The revenue from a manufacturing process (in millions of dollars) is projected to follow the…

A: R(t) = 100+0.08 t C(t) = 60+0.2 t2   P(t) = R(t)- C(t)       = 100 +0.08 t -60 - 0.2 t2 P(t) = -0.2…

Q: At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season…

A:

Q: Based on data for the years 1910-2007, the expected life span of people in Country A can be…

A:

Q: The number of daily users for Japan’s Line messaging service (in millions) can be approximated by…

A: The approximating function that represents the given scenario is: g(x)=53.1+63.1 ln(x) where x…

Q: An articlet in The New York Times states, "The number of gas stations [in a city] grows only in…

A: We will use the given relation between population and gas station.

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given : A manufacturer finds that the revenue generated by selling x units of a certain commodity is…

Q: It has been found that a worker new to the operation of a certain task on the assembly line will…

A:

Q: Suppose f(x)=−x2+10x−6 models the per household smoothie consumption, in quarts, in the town of…

A: Given that : fx=-x2+10x-6. Therefore, take first order derivative : f'x=-2x+10. At f'(x)=0 , we get…

Q: The population, f, of a small community on the outskirts of a city grew rapidly over a fifteen year…

A: Newton's backward difference formula uses the formula below to approximate f(x) .…

Q: Find f' (æ) for f (x) = 7 ln(4 + æ²).

A:

Q: A fast food restaurant hos a cost Production C(x) = ||x+120 and arevenue function R (x) = 5x,When…

A: Consider the profit function is P(x)=R(x)-C(x) when this function is more than 0 then company makes…

Q: An animal feed company must produce 200 kg of mixture consisting of ingredients x and x2.x costs 3…

A: we will first formulate the LPP using the given statements and then we will find the optimal…

Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: A company has found that its rate of expenditure​ (in hundreds of​ dollars) on a certain type of job…

A:

Q: What is the meaning of g(f(0)) in the context of the virus epidemic?

A:

Q: The cost, in thousands of dollars, of airing x 30-second television commercials during a major…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: As baby boomers enter their golden years, the number of people afflicted with Alzheimer's disease is…

A: the number of people with Alzheimer's disease in the USA ae 65 years and over is projected to be…

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A: In a particular very small region, the consumer price index, C, depends on the current value of…

Q: A certain species of fish is to be introduced into a lake, and wildlife experts estimate the…

A: Population of fish

Q: Suppose the weight (in pounds) of a baby boy x months old, for his first 10 months can be…

A: Given function, f(x)=1.6x+8.3 Where x is in months.

Q: An industrial psychologist conducts two efficiency studies at the Chilco appliance factory. The…

A: Please check further steps for solution.!

Q: 1.) The cost of producing and shipping x squeaky dog toys per month is given by the function C(x) =…

A: Since t=you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Suppose you have a clothes dryer that uses 4000 watts of power and run it for an average year f 1…

A: To determine the operational cost of the hair dryer.

Q: The median size of a new single-family house built in the United States between 1987 and 2001 can be…

A:

Q: 3 The graph of f(x) = 2x° + 15x² – 84x + 24 has two horizontal tangents. One occurs at a negative…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.