A biologist is modeling an infestation of fire ants. He determines that the area affected by the ants is given by A(n)=k*(1.5)n+c hectares, where n is the number of weeks after the initial observation and k and c are constants. The model is graphed alongside with point (3, 580). a. Using technology, what is the value of k and c? b. Estimate the time taken for the infested area to reach 1000 hectares.

Q: For a period of x days, an account balance can be modeled by: f(x)= x³ x² 8x. When is the balance…

A:

Q: 1) Draw the graph for the function Y = x³ and then find (D7) & (R). %3D

A: The graph of the function and domain and codomain.

Q: equation y=|x|

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Q: R. K B. Match each equation with a graph above y = 4(1.16)* a. blue (B) y = 2(0.72)² b. green (G) C.…

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Q: In July 2012, Alvarado Niles bought a house for $187,000. In September 2013, a nearby house with the…

A: in july 2012, Price is $187000 in sep 2012, Price is $206000

Q: A person invests $5000 in an account at 4% interest compounded annually. Let V = f(t) be the value…

A:

Q: Sketch the graph of: (5.1) у- cot ( 2x - (5.2) у %3D 3 seес ( х + 6.

A: Topic-curve of function

Q: (a) When were the most tornadoes reported? How many were reported in that year? |tornadoes (b) When…

A: (a) Redraw the given figure as shown below. From the above figure it is clearly observed that, the…

Q: Which graph indicates that y is directly proportional to z? B 1V

A: If y is directly proportional to x then

Q: A trough is 7 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end…

A: The given function is  and the interval is .The current situation can represents as shown below.

Q: Find the estimated value of y when x=3. Round your answer to three decimal places.

A: It is given as the table which help us the calculation easily.

Q: A population of cells doubles in 2 hours. There is an initial population of 120 cells a. Write an…

A:

Q: Graph y = 1/x, y = 5/x, y = 10/x , and y = 20/x on the same set of axes. (Choose your own…

A: The equation given to us is y = 1/x, y = 5/x, y = 10/x , and y = 20/x

Q: the graph of y = b², where b > 0, b = 1 and x € R?

A: To explain: The graph of y=bx, where b>0, b≠1 and x∈R. Explanation: The graph of y=bx, where…

Q: The average profit of a company (in millions per month) from 2001 to 2015 can be modeled by the…

A: The average profit of a company from 2001-2015 is modeled by y=4.51.2x+1.05 where x is the number of…

Q: stephanie has achieved the 45% percentile for long jump compared to 13 year old females. the mean of…

A: From the given information,Mean of the group (µ) = 66Standard deviation (σ)= 4P (X<x ) = 0.45.

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: The line graphs in Figure  show the percentages of marriages ending in divorce based on the wife’s…

A: The line graphs in Figure show the percentages of marriages ending in a divorce based on the wife’s…

Q: Use a graphing calculator and the following scenario. The population P of a fish farm in t years is…

A: Step 1: Step 2: Step 3: Step 4:

Q: i. Use the best-fit-line equation for the sugar graph, y = 59.6 2.43x, to predict the rating of a…

A: Here we need to draw the graph for y=59.6-2.43x Also calculate predict rating of a cereal with 9…

Q: Find the slope of the graph of f(x) = x4 for each value of x. a. x = −1                b. x = 0…

A:

Q: The population of a small town is given by P(t) = 504 (1.05)t . Determine IN HOW MANY YEARS 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.