Determine if the statement is true or false. If a linear system has the same number of equations and variables, then it must hav
1 answer:
Answer:
False
Step-by-step explanation:
Consider the equations with the same number of equations and variables as shown below,
<u>Case 1</u>
This equation has no solution because it is not possible to have two numbers that give a sum of 0 and 1 simultaneously.
<u>Case 2</u>
This equation has infinitely many possible solutions.
Therefore it is FALSE to say a linear system with the same number of equations and variables, must have a unique solution.
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The domain and range of the functions sin x, cos x, and tan x will be (-∞, ∞) and [-1, 1], (-∞, ∞) and [-1, 1], and R - (2n + 1)π/2 and (-∞, ∞) respectively.
<h3>What are domain and range?</h3>The domain means all the possible values of x and the range means all the possible values of y.
The three restricted functions are given below.
f(x) = sin (x)
f(x) = cos (x)
f(x) = tan (x)
Then the domain of the three restricted functions will be
The domain of sin x will be (-∞, ∞).
The domain of cos x will be (-∞, ∞).
The domain of tan x will be R - (2n + 1)π/2.
Then the range of the three restricted functions will be
The range of sin x will be [-1, 1].
The range of cos x will be [-1, 1].
The range of tan x will be (-∞, ∞).
The graph is given below.
More about the domain and range link is given below.
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