1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Varvara68 [4.7K]
3 years ago
6

(a) find the general solution to y^{\,\prime\prime} + 3 y^{\,\prime} = 0. give your answer as y = . . . \ . in your answer, use

c_1 and c_2 to denote arbitrary constants and x the independent variable. enter c_1 as c1 and c_2 as c2.
Mathematics
1 answer:
KengaRu [80]3 years ago
4 0
We want to solve
y'' + 3y' = 0

Solve the indicial equation.
m² + 3m = 0
m(m + 3) = 0
m = 0 or m = -3

The basic solutions are e⁰=1 and e^{-3x}.

Answer:
The general solution is
y(x) = c_{1} + c_{2}e^{-3x}

You might be interested in
A circle passes through the point (0,0.5). What it’s radius
belka [17]

Answer: The radius of this circle is 0.5

Step-by-step explanation:

We have a circle that passes through the point (0, 0.5)

We do not know the center of the circle, so we have infinite possible radius to answer this, but let's suppose that the center of the circle is in the point (0, 0)

For a circle centered in the origin, we have the equation:

x^2 + y^2 = r^2

Where r is the radius.

Here we have that x = 0 and y = 0.5

then:

0^2 + (0.5)^2 = r^2

0.5^2 = r^2

r = 0.5

The radius of this circle is 0.5

6 0
3 years ago
The Scottsdale fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distr
IgorC [24]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the population mean.

As per given , we have

H_0:\mu \leq4\\\\ H_a: \mu >4

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given \sigma=1 , so we perform one-tailed z-test.

Test statistic : z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where \mu = Population mean

\sigma = Population standard deviation

n= sample size

\overline{x} = Sample mean

For n= 18 , \overline{x}=4.50 , \sigma=1 , \mu =4, we have

z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12)  [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

3 0
3 years ago
X + 3 =12 <br><br>What Number Is X<br><br>​
gulaghasi [49]
The answer is 9, to find it just do inverse and in this case that is 12-3 and u should always get the answer
7 0
3 years ago
Read 2 more answers
Complete the equation: 4 1/2 c = ? oz
vitfil [10]
4.5 cups to ounces is 36 fluid ounces.
7 0
3 years ago
Read 2 more answers
What integer increased by - 12 is 28?
guajiro [1.7K]

Answer:

40

Step-by-step explanation:

Let n represent the integer. Then the increase can be written as ...

n + (-12) = 28

We can add 12 to both sides of this equation:

n + (-12) + (+12) = 28 +12

n + 0 = 40 . . . . . . -12 and 12 total to zero; 28 and 12 total to 40.

n = 40

The integer is 40.

4 0
2 years ago
Other questions:
  • HURRY AND ANSWER
    9·1 answer
  • A health group conducted a survey. It showed that a heavier newborn did not necessarily need a larger or smaller amount of diape
    6·1 answer
  • The front of an a-frame house is in the shape of a triangle.The height of the house is 20 feet.The area of the front of the a-fr
    6·1 answer
  • (ASAP) NEED HELP ON FINDING THE AREA OF THIS FIGURE PLEAASEEEEEE :)
    13·1 answer
  • Puede un ángulo obtuso tener dos ángulos iguales porque
    10·1 answer
  • A person is chosen at random from a room that contains 24 men and 26 women. What is the probability that a woman is chosen?
    8·1 answer
  • Answer plsplsplsplsplsplsplsplspls
    12·1 answer
  • Subtract the linear expressions. (−2.6x+4.2)−(3.9x+2.5) What is the difference? Enter your answer in the box.
    15·2 answers
  • Noel works as a driver for a transportation company. On average, he drives 152 hours to make 19 successful deliveries. Assume th
    14·1 answer
  • HELP PLEASE
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!