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Can [ i ] be a column of a unitary matrix?
[-i ]
Justify your answer
1. F(x, y) = cos(e^t) dt
2.f(x,y,z)=xy^2e^-xz
You've been asked to build a machine for a TV commercial that
launches soda bottles from ground level over a volleyball net.
You estimate the soda needs to clear at least 8 feet in order
to sail over the net. The equation that represents the height of
the bottle as a function of time (
t
) in seconds is:
h
=
−
16
t
2
+
33.6
t
How many times does the soda cross the 8 foot threshold?
How many vacant black squares do we have in a chess board with 64 total white and black squares?
create 3 equations of the form ax + by cz = d , where a, b, c, and d are constants (integers between – 5 and 5). For example, x +2y -z = -1 . Perform row operations on your system to obtain a row-echelon form and the solution.
Go to the 3D calculator website GeoGebra: www.geogebra.org/3d?lang=pt and enter each of the equations.
After you have completed this first task, choose one of the following to complete your discussion post.
1. Reflect on what the graphs are suggesting for one equation, two equations, and three equations, and describe your observations. Think about the equation as a function f of x and y, for example x + 2y +1 = z, in the example above. Geogebra automatically interprets this way, that is, like z = f(x,y) = x + 2y +1 , it isolates z in the equation.
2. What did the graphs show when you entered the second equation?
Reflect on the concepts of linear and non-linear systems. What concepts (only the names) did you need to accommodate the concept of linear and non-linear systems in your mind? What are the simplest linear system and non-linear system you can imagine? In your day to day, is there any occurring fact that can be interpreted as linear systems and non-linear systems? What strategy are you using to get the graph of linear systems and non-linear systems?
Calculate using Scaffolding method and explain each steps 265÷7
589÷4
735÷3
4581÷7
X(x-3)-y(x+3y)
Forest stand’s growth of uneven-aged forests is represented by the logarithm equation:
log N = log k – a D log e
where:
• N= number of trees per diameter class
• D = DBH class
• e = base of natural logarithm
• k = number of trees at smallest DBH recognized – and index of relative density
• a = slope of line – the rate at which the number of trees logarithmically diminishes between
successive diameter classes
Explain how the logarithmic formula above would be transformed to predict and determine the
number of trees in a given diameter class of uneven-aged forest stands.
