f(t) = mt + b+ A sin-
Family of Curves
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.
Show all work
Given data:
The given price of the model is: f(t)=mt+b+Asin(πt/6).
The given price on the first January is: f(0)=$20.00.
The given price on the first April is: f(3)=$37.50.
The given price on the first July is: f(6)=$35.00.
The given price on the first October is: f(9)=$32.50.
The given price on the first January is: f(12)=$50.00.
(a)
Substitute 0 for t in the given expression of price function.
Substitute the given value of f(0) in the above expression.
Substitute 6 for t in the given expression of price function.
Substitute the given value of f(0) and m in the above expression.
Substitute 3 for t in the given expression of price function.
Substitute the value of t and above-calculated constants in the above expression.
The price function for February month f(1), march month f(2), may month f(4), June month f(5), August month f(7), September month f(8), November month f(10), and December month f(11) are,
Substitute the given values in the above expression.
The expression for the variation in price from January to February is,
Substitute the given values in the above expression.
The expression for the variation in price from February to March is,
Substitute the given values in the above expression.
The expression for the variation in price from March to April is,
Substitute the given values in the above expression.
The expression for the variation in price from April to May is,
Substitute the given values in the above expression.
The expression for the variation in price from May to June is,
Substitute the given values in the above expression.
The expression for the variation in price from June to July is,
Substitute the given values in the above expression.
The expression for the variation in price from July to August is,
Substitute the given values in the above expression.
The expression for the variation in price from August to September is,
Substitute the given values in the above expression.
The expression for the variation in price from September to October is,
Substitute the given values in the above expression.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 30 images
