The equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3
<h3>What is the graph of the parent function (y)?</h3>
The set of all coordinates (x, y) in the plane that satisfy the equation y = f(x) is the graph of the function. Suppose a function is only specified for a small set of input values, the graph of the function will only have a small number of points, in which each point's x-coordinate represents an input number and its y-coordinate represents an output number.
From the given information,
- The domain for the is at x ≥ 0,
- The range is the set of values that the dependent variable for which the function is defined. f(x) ≥ 0.
In the second question:
Multiply by LCM
Solve c - (c - 3) = 3: True for all c
c ≠ 0, c ≠ 3
Therefore, we can conclude that since the equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3
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7x +(3x-5)+(8x+5)=180
simplify
18x=180
divide by 18
x=10
Answer:
6 < f(x) < 12
Step-by-step explanation:
Timed test I assume?
Answer:
The answer is D
Step-by-step explanation:
the graph matches the Q
I'm going to assume that "−" is supposed to be some kind of minus character, so that the given system of DEs is supposed to be
Take the Laplace transform of both sides of both equations. Recall the transform for a second-order derivative,
where <em>F(s)</em> denotes the transform of <em>f(t)</em>. You end up with
and solving for <em>X(s)</em> and <em>Y(s)</em> (nothing tricky here, just two linear equations) gives
Now solve for <em>x(t)</em> and <em>y(t)</em> by computing the inverse transforms. To start, split up both <em>X(s)</em> and <em>Y(s)</em> into partial fractions.
• Solving for <em>x(t)</em> :
Taking the inverse transform, you get
• Solving for <em>y(t)</em> :
Inverse transform: