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sattari [20]
3 years ago
8

Write the equation of the given circle. center (1, -5) radius of 10

Mathematics
1 answer:
Rufina [12.5K]3 years ago
5 0
I don't see it please take a pic
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Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y
ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; (x^2-4)^2y'' + (x + 2)y' + 7y = 0

The above equation can be better expressed as:

y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

p(x) = \dfrac{(x+2)}{(x^2-4)^2} \

p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \

p(x) = \dfrac{1}{(x+2)(x-2)^2}

Also;

q(x) = \dfrac{7}{(x^2-4)^2}

q(x) = \dfrac{7}{(x+2)^2(x-2)^2}

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\lim \limits_{x \to-2} (x+ 2) p(x) =  \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{1}{(x-2)^2}

\implies \dfrac{1}{16}

\lim \limits_{x \to-2} (x+ 2)^2 q(x) =  \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{7}{(x-2)^2}

\implies \dfrac{7}{16}

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

5 0
3 years ago
Carmin is trying to find the equation of a line that passes through the points (-1,16) and (5,88) . Does the equation y=12x+28 w
BartSMP [9]

Answer:

Yes! The equation, y = 12x + 28 , work.

Step-by-step explanation:

The line passes through points (-1, 16) and (5, 88)

The slope of the line = change in y ÷ change in x

i.e slope = \frac{88 - 16}{5 - -1} = 12

Taking another point (x ,y) on the line;

Slope is \frac{y - 16}{x - -1} = 12

y - 16 = 12x + 12

y = 12x + 12 + 16

y = 12x + 28

So the equation, y = 12x + 28, work!

3 0
3 years ago
N − 7.32 / 2 = 1.04<br><br> What is "n"?
Pachacha [2.7K]

Answer:

n= 4.7

Step-by-step explanation:

n+−3.66=1.04

n−3.66=1.04

Step 2: Add 3.66 to both sides.

n−3.66+3.66=1.04+3.66

n=4.7

Answer:

n=4.7

7 0
3 years ago
A sock weighs 1 oz. A shoe weighs 16 oz. how much heavier is the shoe ?
MrMuchimi
The answer is 15 oz
Hope I helped
5 0
3 years ago
The sum of 12 and the product of 9 and a number results in 57
xxTIMURxx [149]
If i read this correctly then the answer would be 
57-12= 45
45/9= 5

The answer is 5
7 0
3 years ago
Read 2 more answers
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