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antiseptic1488 [7]
2 years ago
13

Find the general solution for the differential equation (dy)/(dx) + 3y = 18 Y=

Mathematics
1 answer:
harkovskaia [24]2 years ago
5 0

Answer:

y=-e^{-3x-c_1}+6

Step-by-step explanation:

\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6

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Which of the following rational functions is graphed below?​
asambeis [7]

Answer:

B.

Step-by-step explanation:

According to the graph the function is defined for all real number except -3 and 7 (where the two red dashed vertical lines cross the x-axis)

so our function should be :

\frac{1}{(x-(-3))(x-7)} =\frac{1}{(x+3)(x-7)}

6 0
3 years ago
A banks loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviati
Alona [7]

Answer:

2.87%

Step-by-step explanation:

We have the following information:

mean (m) = 200

standard deviation (sd) = 50

sample size = n = 40

the probability that their mean is above 21.5 is determined as follows:

P (x> 21.5) = P [(x - m) / (sd / n ^ (1/2))> (21.5 - 200) / (50/40 ^ (1/2))]

P (x> 21.5) = P (z> -22.57)

this value is very strange, therefore I suggest that it is not 21.5 but 215, therefore it would be:

P (x> 215) = P [(x - m) / (sd / n ^ (1/2))> (215 - 200) / (50/40 ^ (1/2))]

P (x> 215) = P (z> 1.897)

P (x> 215) = 1 - P (z <1.897)

We look for this value in the attached table of z and we have to:

P (x> 215) = 1 - 0.9713 (attached table)

P (x> 215) =.0287

Therefore the probability is approximately 2.87%

4 0
3 years ago
Estimate.<br> 4,754 dived by 1.9 =
irinina [24]

Answer:

2502.1

Step-by-step explanation:

4754/1.9

= 2,502.1

Hence the andwer is 2502.1

8 0
3 years ago
2,4,6,8...<br> What is the 32nd term of this sequence?
Elza [17]

Answer:

omg im dum i said all the numbers up to 64 i could have just multiplied its 64 xD

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Give me the full working and I give you stars ​
kari74 [83]

→ Area of rectangle = Length * Width

Here given:

  • Length = 63 m
  • Width = 17 m

Here area:

  • L * W
  • 63 * 17
  • 1071 m²
4 0
2 years ago
Read 2 more answers
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