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3 years ago

10

in a class of 45 students, 25 students failed Maths, 20 students failed Physics, and students failed both . A student is selecte

d at random.

1 answer:

Nezavi [6.7K]3 years ago

6 0

Answer:

What is the question?

Step-by-step explanation:

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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

2 years ago

Find the arc length of a central angle of 7pi/3 in a circle whose radius is 3 inches.

skelet666 [1.2K]

$\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ \hrulefill\\ r=3\\ \theta =\frac{7\pi }{3} \end{cases}\implies s=3\cdot \cfrac{7\pi }{3}\implies s=7\pi$

4 0

3 years ago

Read 2 more answers

Can someone help me and my friend on this problem?

irina [24]

Absolute value was $55. I don't really get the problem...

4 0

2 years ago

A local fast-food restaurant can serve

Marizza181 [45]

Answer:

4 hours, 150 x 4 = 600 pls give brainliest

5 0

2 years ago

Find the surface area of the cylinder. Use a ~ 3.14 20 m

lesantik [10]

Answer:

1444.4 m2

Step-by-step explanation:

Surface Area = 2 * 3.14 * (R*R + R*L) = 2 * 3.14 * (10*10+10*13) = 1444.4 m2

Note .. You can Derive this

"Surface Area = 2 * 3.14 * (R*R + R*L)"

Using Calculus by differentiating its Volume

V = 3.14 * R * R * L

6 0

2 years ago