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rjkz [21]
3 years ago
12

2 hours of childcare cost $25.4 hours costs $60. fit a linear function to the data points

Mathematics
1 answer:
Strike441 [17]3 years ago
6 0

(x)=x^2 ∛x, then f' (-8)= - 17853341

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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
10.1 and 10.5 witch one is greater
OLga [1]

Answer:

10.5

Step-by-step explanation:

Because the digit at tenths place in 10.5 is greater than that of in 10.1

5 > 1

3 0
2 years ago
Read 2 more answers
What term best describes the point line or curve defined by the intersection of a cone and a plane?
Sindrei [870]
Conic section from apex
6 0
3 years ago
A pair of shoes cost $88. You get
Maurinko [17]

Answer:

$77.44

Step-by-step explanation:

If the shoes cost $88 but you get a 20% discount, subtract 20% from 88: -->

$88-20% = $70.4

Then add 8% of 88 to 70.4 -->

8% of $88 = $7.04.

$70.4 + $7.04 = $77.44

Therefore the final price of the shoes are $77.44

Hope this helps!!!~~ <3

7 0
2 years ago
The cargo of the truck weighs less than 2,800 pounds. Use w to represent the weight (in pounds) of the cargo.
MakcuM [25]

Answer:

w < 2,800lb

Step-by-step explanation:

w weighs less than 2,800 pounds.

5 0
2 years ago
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