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- Algebra and trigonometry
- Further applications of
- Parametric equations
Section exercises
Verbal
What is a system of parametric equations?
A pair of functions that is dependent on an external factor. The two functions are written in terms of the same parameter. For example,
and
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Explain how to eliminate a parameter given a set of parametric equations.
Choose one equation to solve for
substitute into the other equation and simplify.
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What is a benefit of using parametric equations?
Some equations cannot be written as functions, like a circle. However, when written as two parametric equations, separately the equations are functions.
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Algebraic
For the following exercises, eliminate the parameter
to rewrite the parametric equation as a Cartesian equation.
For the following exercises, rewrite the parametric equation as a Cartesian equation by building an
table.
For the following exercises, parameterize (write parametric equations for) each Cartesian equation by setting
or by setting
For the following exercises, parameterize (write parametric equations for) each Cartesian equation by using
and
Identify the curve.
Parameterize the line from
to
so that the line is at
at
and at
at
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Parameterize the line from
to
so that the line is at
at
and at
at
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Technology
For the following exercises, use the table feature in the graphing calculator to determine whether the graphs intersect.
For the following exercises, use a graphing calculator to complete the table of values for each set of parametric equations.
Extensions
Find two different sets of parametric equations for
answers may vary:
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Find two different sets of parametric equations for
answers may vary: ,
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Questions & Answers
Ayele, K., 2003. Introductory Economics, 3rd ed., Addis Ababa.
can you send the book attached ?
Ariel
the study of how humans make choices under conditions of scarcity
AI-Robot
U(x,y) = (x×y)1/2
find mu of x for y
U(x,y) = (xÃy)1/2
find mu of x for y
Desalegn
this is the study of how the society manages it's scarce resources
Belonwu
macroeconomic is the branch of economics which studies actions, scale, activities and behaviour of the aggregate economy as a whole.
husaini
difference between firm and industry
what's the difference between a firm and an industry
Abdul
firm is the unit which transform inputs to output where as industry contain combination of firms with similar production 😅😅
Abdulraufu
Suppose the demand function that a firm faces shifted from
Qd 120 3P
to
Qd 90 3P
and the supply function has shifted from
QS
20 2P
to
QS
10 2P .
a) Find the effect of this change on price and quantity.
b) Which of the changes in demand and supply is higher?
explain standard reason why economic is a science
factors influencing supply
scares
means__________________ends
resources. unlimited
Jan
economics is a science that studies human behaviour as a relationship b/w ends and scares means which have alternative uses
Jan
calculate the profit maximizing for demand and supply
Why qualify 28 supplies
Milan
out-of-pocket costs for a firm, for example, payments for wages and salaries, rent, or materials
AI-Robot
concepts of supply in microeconomics
identify a demand and a supply curve
there's a difference
Aryan
Demand curve shows that how supply and others conditions affect on demand of a particular thing and what percent demand increase whith increase of supply of goods
Israr
Hi Sir please how do u calculate Cross elastic demand and income elastic demand?
Abari
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Source:
OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6
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