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Alex
3 years ago
6

What are the restrictions of the domain of the function F(x) = 1/x^2-9

Mathematics
1 answer:
Sonbull [250]3 years ago
6 0
f(x)=\frac{1}{x^2-9}

The denominator can't be equal to 0.
x^2-9 \not= 0 \\
x^2 \not= 9 \\
x \not= -3 \ \land \ x \not= 3

The domain is all numbers except -3 and 3.
x \in \mathbb{R} - \{-3, 3 \}
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Convert (2, π) to rectangular form
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Answer: 0 . x=2⋅0.

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3 0
3 years ago
The differential equation of a certain system is 20⁢y′⁢′+c⁢y′+80⁢y=0
Sholpan [36]

Answer:

c=80

Step-by-step explanation:

Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.

So let's see that characteristic equation:

20⁢r^2+c⁢r+80⁢=0

The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.

a=20

b=c

C=80

c^2-4(20)(80)

We want this to be 0.

c^2-4(20)(80)=0

Simplify:

c^2-6400=0

Add 6400 on both sides:

c^2=6400

Take square root of both sides:

c=80 or c=-80

Based on further reading damping equations in form

a⁢y′⁢′+b⁢y′+C⁢y=0

should have positive coefficients with b also having the possibility of being zero.

5 0
3 years ago
1) What is the opposite of adding 5?
andriy [413]

Answer:

1. subtracting 5

2. adding 20

3. dividing by 1/2

4. multiplying by 10

5 0
2 years ago
Read 2 more answers
I stumbled on this question
nadezda [96]
Q20) c < 82-76
c < 6
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4 0
3 years ago
Which is the equation of a line that has a slope of 2 and contains the point (0,5)
riadik2000 [5.3K]

\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=2(x-0) \\\\\\ y-5=2x\implies y=2x+5

7 0
3 years ago
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