Patricia Crane
2021-12-15
Answered

Find the derivative of $y={e}^{5x}$

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asked 2021-05-04

A researcher is trying to determine the doubling time of a population of the bacterium Giardia lamblia. He starts a culture in a nutrient solution and estimates the bacteria count every four hours. His data are shown in the table. Use a graphing calculator to find an exponential curve f(t)=a⋅bt that models the bacteria population t hours later.
Time (hours) 04812162024 Bacteria count (CFU/mL)37476378105130173

asked 2021-08-13

The table shows the annual service revenues R1 in billions of dollars for the cellular telephone industry for the years 2000 through 2006.

(a) Use the regression capabilities of a graphing utility to find an exponential model for the data. Let t represent the year, with t=10 corresponding to 2000. Use the graphing utility to plot the data and graph the model in the same viewing window.

(b) A financial consultant believes that a model for service revenues for the years 2010 through 2015 is

asked 2021-05-03

The data below give the number of bacteria, in millions, found in a certain culture.

Time (hours) 0 1 2 3 4

Bacteria 5 8 15 26 48

Find an exponential function that models the data.

Time (hours) 0 1 2 3 4

Bacteria 5 8 15 26 48

Find an exponential function that models the data.

asked 2021-06-13

The table shows the annual service revenues R1 in billions of dollars for the cellular telephone industry for the years 2000 through 2006. Year 2000 2001 2002 2003 2004 2005 2006 R1 52.5 65.3 76.5 87.6 102.1 113.51 25.5

(a) Use the regression capabilities of a graphing utility to find an exponential model for the data. Let t represent the year, with t=10 corresponding to 2000. Use the graphing utility to plot the data and graph the model in the same viewing window.

(b) A financial consultant believes that a model for service revenues for the years 2010 through 2015 is

asked 2021-06-09

Transform the given differential equation or system into an equivalent system of first-order differential equations.

asked 2021-05-17

Transform the given differential equation or system into an equivalent system of first-order differential equations.

${x}^{\left(4\right)}+6x{}^{\u2033}-3{x}^{\prime}+x=\mathrm{cos}3t$

asked 2022-06-25