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: y = -}(x + 1)² – 11 O x = -1 O x = -11 O x = 1 O x = 11

A:

Q: Given the function y = 6x2 - x3 a. Find the intersections with the x and y axes b. Find maximum,…

A: Given. Y = 6X² - X³ And at maxima and minima dY/dX = 0

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A:

Q: What is the equation of the function? O A. y : O B. y= 2 O C. y 2(3)* O D. y = 312 2/3

A: To find the equation of the function

Q: (v+2) +3

A:

Q: 4. The initial size of a bacteria culture is 1 200. After 6 h, there are 8400 bacteria. Please…

A: The exponential growth model Initial population.Growth rate Time in hours Population at time t

Q: Consider the graph of Cx + Ay = B where A, B, and C are all positive consta (a) Find the coordinates…

A: Given: Cx+Ay=B

Q: a. Graph the function f (x) = 4e-0.3x.b. Find f ( -10) and f (10).

A: a. Graph the function f (x) = 4e-0.3x.b. Find f ( -10) and f (10).

Q: x² + y² + 2z² – 2x + 8y – 12z + 35 = 0

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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

A: (5.1) Given that                  y=cot2x-π2 Graph:

Q: - The percentage of Americans y diagnosed with diabetes at so y the equation y = 0.42x - 13.91,…

A: The percentage of Americans y diagonalized with diabetes at some point in their lives can be modeled…

Q: which graph is linear and a function  a. x2+ 3  b. y= 2x + 3  c. y= 2/x

A:

Q: II. Suppose that the total worldwide sales for a song album are approximated by the function: 150x³…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2. Diana Nyad was the first person to swim from Cuba to the Florida Straits without a shark cage, a…

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

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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 percentage of a certain country's national income generated by nonfarm proprietors may be…

A: Given: px=14x3-240x2-2461x+584,77580,784 x is the number of years since 1962. To find: The year…

Q: B1. a. Find the largest two-digit integer that leaves the remainders 2 and 3 when divided by 5 and…

A:

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: 5) This chart shows the depth of water at the end of a boat dock. X (Hours) Y (Depth in Ft) midnight…

A: Solve the following

Q: What is the graph of xy = 0? Defend your answer.

A: Given, xy=0 ⇒y=0⇒x=0

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Q: Let f (x) = 2x² – 3x + 1. %3| A. Find the vertex. B. State the range of the function.

A:

Q: Jeremy boards a Ferris wheel at the 3- o'clock position and rides the Ferris wheel for multiple…

A:

Q: The point F in the graph has the coordinates ( 17 9 ♦ ).

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.