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

Q: A soccer ball manufacturer is planning to expand its workforce. It estimates that the number of…

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Q: Find the point of diminishing returns for the revenue function where x is the amount spent on…

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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: The rate of change in the number of urban transit vehicles such as buses and light-rail trains, in…

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Q: Please I want solution of question 4 with step by step. Many Thanks

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Q: A culture of bacteria is known to grow at a rate proportional to the present amount. After one hour…

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Q: From 1975 to 2009, the age-adjusted incidence rate of invasive lung and bronchial cancer among women…

A: Given that the age-adjusted incidence rate of invasive lung and bronchial cancer among women can be…

Q: Find the critical values of the function below. **x-24x? 8 -x³–24x² f(x)

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Q: Use this formula to find the instantaneous rate of change of the function at the given x-value.f(x)…

A: Given function is

Q: Suppose we have a revenue function given by  R(x) = 3x3 - ax, Where a is a constant. What would the…

A: Average revenue=Revenuex=R(x)x

Q: Find the average rate of change of f(x)= 3x^2-2x+6 from x1=4 to x2=7

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Q: Suppose f(x)=6x2+9x−14f. Write an expression in terms of x and h that represents the average rate of…

A: fx=6x2+9x-14

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

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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: Let f(x) = -x² - 4x + 11. What is the average rate of change from x = -5 to x = 2? %3! O-7

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Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

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Q: Suppose f(x)=6x2+9x−13. Write an expression in terms of x and h that represents the average rate of…

A: Average rate of change is ratio of change in function values and time interval.

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: Differentiate the following function. f(x) = e - 2x2 - 4x d (e -2x2 - 4x) - 2² - *x) = [ dx

A: Given f(x)=e(-2x^2-4x)

Q: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream…

A: The concentration of the drug in the patient's bloodstream after t minutes is given by

Q: Let L(x) be the linearization of the cube root function at x=8. When using L(x) to approximate the…

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Q: Determine the extreme values of the ff. functions. f(x) = x^2 + 3 on [1,3]

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

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Q: If x is large, which function grows faster, f(x) g(x) = x2? %3D

A: The given function is fx=2x   and  gx=x2

Q: During a flu epidemic, the total number of students on a state university campus who had contracted…

A: "Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: When no more than 110 units are produced, the cost (in dollars) of producing x units is given by…

A: Given: C(x)=0.2x3-25x2+1531x+25000

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: Suppose f(x)=5x2+8x−16. Write an expression in terms of x and h that represents the average rate of…

A: Average rate of change is ratio of change in value of f(x) and change in x.

Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Suppose f(x)=6x2+9x−12. Write an expression in terms of x and h that represents the average rate of…

A: The average rate of change is given by: f(x+h)-f(x)h

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 daily cost of producing x high performance wheels for racing is given by the following function,…

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Q: Find the net change in the value of the function between the given inputs.39. f(x) = 3x - 2; from 1…

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

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Q: The total expenditures (in millions) of current dollars for pollution abatement and control during…

A: Here we find the total expenditure.

Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

Q: Given f(x)=ln(5x), what is f'(x) when x=14.2?

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

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Q: A company produces chocolate Easter bunnies at a cost per unit of 0.60 + 0.005x dollars, where x is…

A: The cost function per chocolate bunnies is 0.60 + 0.005x in dollars and x be the number of item…

Q: Given a total-revenue function R(x) = 900/x -0.1x and a total-cost function C(x) = 1400 (x +2) +800,…

A: Given, Total revenue function Rx=900x2-0.1x Total cost function Cx=1400x2+213+800 We have to find…

Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

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: Let L(x) be the linearization of the cube root function at x=64. When using L(x) to approximate the…

A: The linearization L(x) for tge function f(x) at x =a is given as L(x) = f'(a) (x-a) + f(a)

Q: If the average cost per unit C(x) to produce x units of plywood is given by C(x) = 300/x+10 , what…

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Q: Find the average rate of change of f (x) = -3x+3 from x =-4 to x= -2. Simplify your answer as much…

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Q: Find the intervals on which the function f(x)=xlnx is increasing and decreasing.

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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.