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Snowcat [4.5K]
3 years ago
10

Câu 99: Cho hàm số f x  xác định trên ℝ , bảng biến thiên của hàm số f x   như sau.

Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

i doesn,t understand this language

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(1 point) solve the separable differential equation y′(x)=2y(x)+18−−−−−−−−−√, y′(x)=2y(x)+18, and find the particular solution s
luda_lava [24]
We write the equation in terms of dy/dx,
<span>y'(x)=sqrt (2y(x)+18)</span>
dy/dx = sqrt(2y + 18)
dy/dx = sqrt(2) ( sqrt(y + 9)) 

Separating the variables in the equation, we will have:
<span>1/sqrt(y + 9) dy= sqrt(2) dx </span>

Integrating both sides, we will obtain
<span>2sqrt(y+9) = x(sqrt(2)) + c </span>
<span>where c is a constant and can be determined by using the boundary condition given </span>
<span>y(5)=9 : x = 5, y = 9
</span><span>sqrt(9+9) = 5/sqrt(2) + C </span>

<span>C = sqrt(18) - 5/sqrt(2) = sqrt(2) / 2</span>

Substituting to the original equation,
sqrt(y+9) = x/sqrt(2) + sqrt(2) / 2

<span>sqrt(y+9) = (2x + 2) / 2sqrt(2) 
</span>
Squaring both sides, we will obtain,
<span>y + 9 = ((2x+2)^2) / 8</span>

y = ((2x+2)^2) / 8 - 9
7 0
3 years ago
What is the equation of a line with slope<br> 12 / 2 and a y-intercept of -4 ?
ValentinkaMS [17]

Answer: y= 6x-4

Step-by-step explanation:

I wrote it in y=mx+b format. m is the slope and b is the y-intercept.

The slope is 6 because 12/2=6

6 0
2 years ago
2) Puppy B weighs 8 pounds, which is about 75% of its adult weight. What will be the
masha68 [24]

Answer:

Puppy A weighs 8 pounds, which is about 25% of its adult weight. What will be the adult weight of Puppy A? Puppy B weighs 8 pounds, which is about 75% of its adult weight. What will be the adult weight of Puppy B?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help me with this question <br><br> image attached
Mumz [18]

Answer:  (D) 9

<u>Step-by-step explanation:</u>

This is an isosceles triangle.  Since the legs are congruent, then the base angles are congruent.

9x + 3 = 84

<u>     - 3  </u>  <u>  -3 </u>

9x        = 81

<u>÷9       </u>   <u>÷9 </u>

 x         = 9

8 0
3 years ago
The mean salary of 5 employees is $33700. The median is $34600. The mode is $35600. If the median paid employee gets a $3500 rai
fgiga [73]

Step-by-step explanation:

Given:

Mean = 33700

Median = 34600

Mode = 35600

The mean is the average, the median is the middle number, and the mode is the most common number.

a)

First, we need to find the new mean (average) if one of the employees gets a 3500 raise.  The average is the total salary divided by number of employees:

(5 × 33700 + 3500) / 5 = 34400

b)

The mode is the most common number in a set.  Since there are only five employees, and the mode is different than the median, then the two highest earners must have the same salary.  The salaries from smallest to largest is therefore:

?, ?, 34600, 35600, 35600

When the median gets the 3500 raise, the set becomes:

?, ?, 35600, 35600, 38100

So the new median is 35600.

c)

The most common number is still 35600.  So the mode hasn't changed: 35600.

4 0
3 years ago
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