Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded 148 1+ 3.6e where t is measured in years and N is measured in thousands of tons of fish. (a) what is the r value for the Eastern Pacific yellowfin tuna? per yr
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A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
1 t
![Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded
148
N=
1+ 3.6e2.6lt
where t is measured in years and N is measured in thousands of tons of fish.t
(a) What is the r value for the Eastern Pacific yellowfin tuna?
per yr
(b) What is the carrying capacity K for the Eastern Pacific yellowfin tuna?
K =
thousand tons
(c) What is the optimum yield level?
|thousand tons
(d) Use your calculator to graph Nagainst t.
200
200
180
180
160
160
140
140
120
120
N100
N 100
60
60
40
40
20
20
10
12
10
12
200
200
180
180
160
160
140
140
120
120
N 100
N100
80
60
40
40
20
20
10
12
10
12
e) At what time was the population growing the most rapidly? (Round your answer to two decimal places.)
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