A company determines that its weekly online​ sales, S(t)​,in hundreds of​ dollars, t weeks after online sales​ began, can be estimated by the equation below. Find the average weekly sales for weeks 2 through 5 (t=1 to t=5​).   S(t)=7e^t

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Q: Estimate their density after 3.4 weeks.

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Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x)=…

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Q: For the years from 2002 and projected to 2024, the national health care expenditures H, in billions…

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A:

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Q: Differentiate the function. y = ln (square root of 5+8x/5-8x)

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Q: A company’s sales, in millions of peso, of electrical appliances can be modelled by S(x) = -1.3x3 +…

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Q: For the years​ 1970-2006, the percent of females in the workforce is given by y=10.956+8.280lnx​,…

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Q: 9. Find the family of the curve whose slope at any point is √x + √x and also the member which passes…

A: According to the company rule we can answer only first question and rest can be reposted.

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.