A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collected. Which function most accurately represents this data, where n is the number of bacteria and is the time elasped, in hours

Q: 4) A typical cup of coffee contains 100 mg of caffeine. Every hour, approximately 16% of the amount…

A:

Q: For each variable, determine whether it is best thought of as discrete or continuous. Variable…

A: Solution-: We want to determine whether each of the given variable is discrete or continuous?

Q: The average value of gold per ounce over time is modeled by V(t) = 45t+ 279, where t = time in years…

A:

Q: Julie used data from 2017 to create this function to model the amount of daylight in New York City…

A:

Q: A person invested $530 in an account growing at a rate allowing the money to double every 8 years.…

A: Given problem is : A person invested $530 in an account growing at a rate allowing the money to…

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: Let, l = the length of one side of the rectangular field w = the length of the other side.

Q: Fifty percent of the amount of a certain drug is eliminated from the body every hour. A 500mg drug…

A: Given that, Fifty percent of the amount of a certain drug is eliminated from the body every hour…

Q: The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an…

A: bn=2.520n & rn=441,000n a). an=bn-rn=2.520n-441,000n=-4,40,997.48n

Q: average rates of change

A: To find: Average rate of change for different types of linear functions.

Q: What is another method for combining functions?

A: The functions can be combined by method of composition. That is, Let f:A→B & g:B→C be two…

Q: An oil spill is being treated by microbes which eat the oil molecules such that the oil…

A:

Q: during typhoo Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of…

A: For first three hours, the rain fell at a rate of 25 mm per hour.  So for time 1≤t≤3 the rate was 25…

Q: Explain Increasing and Decreasing Functions?

A: Increasing Function: Let y = f(x, y) be differential function on (a, b). If for any two points x1,…

Q: Describe the relationship of input and output values for composite functions

A: Use the definition of composition of two functions.

Q: The average forward speed for neotropical butterflies can be modeled by the function, V(m)= 3.2 √m…

A:

Q: Sketch a graph of the volume of water in the bottle as a function of the height, as the bottle is…

A:

Q: The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an…

A: The function bn is given by:                      bn=2.520n million gallons where, bn represents the…

Q: The function P(h)=14.7(0.5)^h/3.6 models, the atomspheric pressure, P, (in pounds per square inch)…

A:

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.