Model the following data using an exponential function of the form f(x) = Ab". You need to do this rigorously, that is, set up a system of equations, and solve it to get A and b. Getting the right answer by guessing will earn no credit. (a) f(x) is exponential and goes through the points (1, 2) and (4,6). (b) f(x) is exponential and goes through the points (2, 75) and (5, 9375).

Q: A company produces two types of hand soaps: a solid and a liquid soap. The cost of production for a…

A: From the given data:x1=200+100p2-p1 and x2=500-150p2Total…

Q: If a(x)=2-8x, what is an equation for a-1(x)?

A: Given: a(x)=2-8x To find the inverse replace a(x) with y. y=2-8x

Q: Two balloons, one red and one green are released from a platform at t=0. Each balloon goes up for a…

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Q: Solve (x-1)' +(x-2)'+(x - 3)' +(x + 4)' +(x + 5)' = 0

A: The solution for the above question is as shown below.

Q: A company produces two types of hand soaps: a solid and a liquid soap. The cost of production for a…

A: Given that the cost of production of 1 unit of solid soap is 10 cents = 0.1 dollars and the cost of…

Q: UCLAium-1919 is a radioactive element with a half-life of 140 days. Suppose that 10 mg of the…

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Q: Example 3: Using data from the U.S. Census Bureau, the population (in thosands) of Detroit, Michigan…

A:

Q: The cost of a class field trip is $15 per person, plus $50 for a bus ride. Which function can be…

A: Given  Per person charge =$15 So charge for x students = 15x Additional charge = $50

Q: An automobile costs $20000 when sold brand new and depreciates at a rate of 10% per year. Which of…

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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.