The demand equation for tuna in a small town is  pq1.5=50000 where q is the number of pounds of tuna that can be sold in on month at a price of $p per pound. The towns fishery finds that the demand for tuna is currently 900 pounds per month and is increasing at a rate of 100 pounds per month each month. How fast is the price changing?

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Q: Suppose that the world's current oil reserves is 2090 billion barrels. If, on average, the total…

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A: Solve in the following way:-

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Q: A baseball team plays in a stadium that holds 52000 spectators. With the ticket price at $11 the…

A:

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $12 the…

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A: Here we have price-demand equation  x=a+bp, where a = 11 and b = 180,  ⇒x=11+180p Differentiate with…

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the…

A: Topic- Application of Derivatives

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Q: A baseball team plays in a stadium that holds 56000 spectators. With the ticket price at $9 the…

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Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $11 the…

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Q: A baseball team plays in a stadium that holds 46000 spectators. With the ticket price at $11 the…

A: Here I am attaching image so that you understand each and every step.

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the…

A: First we have make revenue function And then calculate it's derivative to find price for ticket to…

Q: In 2009, the school population was 1,700. By 2017 the population had grown to 2,500.  Assume the…

A: population grow between 2009 and 2017 =(Population in 2017)-(Population in 2009)

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Q: Suppose that the price p (in dollars) and the weekly demand, x (in thousands of units) of a…

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Q: A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $12 the…

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Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $11 the…

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Q: A retailer Sold 18o units of a product when the price was $30/unit, after a price increase of $5,…

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Q: After 3 months of membership at a health club, a new member had paid a total of $240. After 7…

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Q: A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $11 the…

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Q: A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $10 the…

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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.