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RUDIKE [14]
2 years ago
15

Put answer in comments please or I cant read it

Mathematics
1 answer:
Mars2501 [29]2 years ago
6 0

Answer:

what is the question

Step-by-step explanation:

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Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y) → (0, 0) x4 − 34y2 x2 + 17y2
HACTEHA [7]

Answer:

<h2>DNE</h2>

Step-by-step explanation:

Given the limit of the function \lim_{(x,y) \to (0,0)} \frac{x^4-34y^2}{x^2+17y^2}, to find the limit, the following steps must be taken.

Step 1: Substitute the limit at x = 0 and y = 0 into the function

= \lim_{(x,y) \to (0,0)} \frac{x^4-34y^2}{x^2+17y^2}\\=  \frac{0^4-34(0)^2}{0^2+17(0)^2}\\= \frac{0}{0} (indeterminate)

Step 2: Substitute y = mx int o the function and simplify

= \lim_{(x,mx) \to (0,0)} \frac{x^4-34(mx)^2}{x^2+17(mx)^2}\\\\= \lim_{(x,mx) \to (0,0)} \frac{x^4-34m^2x^2}{x^2+17m^2x^2}\\\\\\= \lim_{(x,mx) \to (0,0)} \frac{x^2(x^2-34m^2)}{x^2(1+17m^2)}\\\\\\= \lim_{(x,mx) \to (0,0)} \frac{x^2-34m^2}{1+17m^2}\\

= \frac{0^2-34m^2}{1+17m^2}\\\\=  \frac{34m^2}{1+17m^2}\\\\

<em>Since there are still variable 'm' in the resulting function, this shows that the limit of the function does not exist, Hence, the function DNE</em>

4 0
3 years ago
Which equation represents the line shown on the coordinate grid below?<br> (5, 0)<br> (0,-2)
gizmo_the_mogwai [7]

Answer:

y=2/5x-2

Step-by-step explanation:

The main equation you will need for this is y=mx+b

First, you have to find the slope. the equation for that is \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

-2-0 = -2  (y)

0-5= -5   (x)

A good way to remember this is rise over run or y is always over x

Slope = 2/5 (The negatives cancel out)

The great thing about this is that they have already given you your "y" intercept or "b" which is -2

4 0
3 years ago
A music teacher charged $80.25 for 2 1/2hours. What was the hourly fee to the nearest cent?
Dennis_Churaev [7]
80.25/2.5 = 32.1

Therefore, the fee is $32.10 per hour.

Hope this helps!
3 0
3 years ago
Read 2 more answers
What comes first on a slope x or y
lina2011 [118]

Answer:

x

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What does it mean when solving volume and the problem states what is the volume in terms of pie
tigry1 [53]

Answer:

Step-by-step explanation:

It means that you have to have pi in your answer. For example, if you were finding the area of a circle with a radius of 3, you would do (3)^2*pi and simplify it to just 9pi.

4 0
3 years ago
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