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svet-max [94.6K]
3 years ago
13

Note Your teacher will grade your responses to questions 4-8 to ensure you receive proper credit for your answers.

Mathematics
1 answer:
Papessa [141]3 years ago
5 0
Are you cheating? Or is that homework?
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Find the limit, if it exists, or type dne if it does not exist.
Phantasy [73]
\displaystyle\lim_{(x,y)\to(0,0)}\frac{\left(x+23y)^2}{x^2+529y^2}

Suppose we choose a path along the x-axis, so that y=0:

\displaystyle\lim_{x\to0}\frac{x^2}{x^2}=\lim_{x\to0}1=1

On the other hand, let's consider an arbitrary line through the origin, y=kx:

\displaystyle\lim_{x\to0}\frac{(x+23kx)^2}{x^2+529(kx)^2}=\lim_{x\to0}\frac{(23k+1)^2x^2}{(529k^2+1)x^2}=\lim_{x\to0}\frac{(23k+1)^2}{529k^2+1}=\dfrac{(23k+1)^2}{529k^2+1}

The value of the limit then depends on k, which means the limit is not the same across all possible paths toward the origin, and so the limit does not exist.
8 0
3 years ago
Mitch wrote the subtraction below what mistake did Mitch make. What is the correct answer
PtichkaEL [24]

Mitch did not line the place values up right


8 0
3 years ago
Which of these is the algebraic expression for "5 less than 6 times some number"?
Pachacha [2.7K]
The answer for the algebraic expression is 5-6t
7 0
3 years ago
find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. if y
dlinn [17]

Answer:

The Question isn't clear

Step-by-step explanation:

7 0
3 years ago
What is the simplified form of (4j2+6)+(2j2-3)
Galina-37 [17]

Answer: 6j^2+3

Step-by-step explanation:

In order to solve this exercise it is important to remember the multiplication of signs. Notice that:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

In this case you have the following expression given in the exercise:

(4j^2+6)+(2j^2-3)

Where the variable is "j".

When you multiply signs, you get:

=4j^2+6+2j^2-3

Now you need to identify that like terms and then you need to add them (or combine them). So, applying this procedure you get that the simplified form of the expression is  the shown below:

=6j^2+3

As you can observe, you get a 2nd degree binomial.

5 0
4 years ago
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