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4 years ago

Which graph represents y=⌈x⌉ over the domain 2≤x≤5?

Mathematics

2 answers:

mars1129 [50]4 years ago

8 0

Answer:

<h2>Fourth graph.</h2>

Step-by-step explanation:

The black circles represent closed intervals, and the white circles represent open intervals.

So, according to function domain given, x = 2 is part of the domain, so must have a black circle. X = 5 is also closed interval, that is part of the domain, so also must have a black circle.

The only graph that has this characteristics is the fourth.

Viefleur [7K]4 years ago

3 0

The fourth graph is the correct answer

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Solve the differential equation. y' + 5xey = 0.

galben [10]

Answer:

The solution is $y = - ln(\frac{5}{2}x^{2} + C)$

Step-by-step explanation:

To solve the differential equation, we will find $y$

From the given equation, y' + 5xey = 0.

That is, $y' + 5xe^{y} = 0$

This can be written as

$\frac{dy}{dx} + 5xe^{y} = 0$

Then,

$\frac{dy}{dx} = - 5xe^{y}$

$\frac{dy}{e^{y}} = - 5x dx$

Then, we integrate both sides

$\int {\frac{dy}{e^{y}}} =\int {- 5x dx}$

$\int {e^{-y}dy }} =\int {- 5x dx}$

Then,

$-e^{-y} = -\frac{5}{2}x^{2} + C$

$e^{-y} = \frac{5}{2}x^{2} + C$

Then,

$ln(e^{-y}) = ln(\frac{5}{2}x^{2} + C)$

Then,

$-y = ln(\frac{5}{2}x^{2} + C)$

Hence,

$y = - ln(\frac{5}{2}x^{2} + C)$

5 0

3 years ago

What is the Greatest Common Factor of 8 and 36?

vovikov84 [41]

I believe that the answer is 4.
4*2=8
4*9=36
:)

Hope this helps!

5 0

4 years ago

Read 2 more answers

Whow we found equation 45n+15

My name is Ann [436]

45n+15
Factor out 15 from the expression

15(3n+1)

6 0

3 years ago

Order the number from least to greatest 1/3,0.3,2/3 and 2/5

sammy [17]

0.3, 1/3, 2/5, 2/3
Hope this helps!

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3 years ago

HELP ASAP!!!!!!!!! Please answer both

maks197457 [2]

Step-by-step explanation:

questions 8, obviously the mid part of the parabola is 3, that is the axis of symmetry.

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3 years ago