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
GREYUIT [131]
3 years ago
14

Which one is the correct answer?

Mathematics
2 answers:
Gala2k [10]3 years ago
7 0
The second one is the right answer

Ugo [173]3 years ago
5 0
The correct answer would be the second one.
You might be interested in
4. In Ghana the high temperatures in degrees Fahrenheit for five days in January were -14°
S_A_V [24]

Answer:

69

Step-by-step explanation:

5 0
3 years ago
Solution for dy/dx+xsin 2 y=x^3 cos^2y
vichka [17]
Rearrange the ODE as

\dfrac{\mathrm dy}{\mathrm dx}+x\sin2y=x^3\cos^2y
\sec^2y\dfrac{\mathrm dy}{\mathrm dx}+x\sin2y\sec^2y=x^3

Take u=\tan y, so that \dfrac{\mathrm du}{\mathrm dx}=\sec^2y\dfrac{\mathrm dy}{\mathrm dx}.

Supposing that |y|, we have \tan^{-1}u=y, from which it follows that

\sin2y=2\sin y\cos y=2\dfrac u{\sqrt{u^2+1}}\dfrac1{\sqrt{u^2+1}}=\dfrac{2u}{u^2+1}
\sec^2y=1+\tan^2y=1+u^2

So we can write the ODE as

\dfrac{\mathrm du}{\mathrm dx}+2xu=x^3

which is linear in u. Multiplying both sides by e^{x^2}, we have

e^{x^2}\dfrac{\mathrm du}{\mathrm dx}+2xe^{x^2}u=x^3e^{x^2}
\dfrac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]=x^3e^{x^2}

Integrate both sides with respect to x:

\displaystyle\int\frac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]\,\mathrm dx=\int x^3e^{x^2}\,\mathrm dx
e^{x^2}u=\displaystyle\int x^3e^{x^2}\,\mathrm dx

Substitute t=x^2, so that \mathrm dt=2x\,\mathrm dx. Then

\displaystyle\int x^3e^{x^2}\,\mathrm dx=\frac12\int 2xx^2e^{x^2}\,\mathrm dx=\frac12\int te^t\,\mathrm dt

Integrate the right hand side by parts using

f=t\implies\mathrm df=\mathrm dt
\mathrm dg=e^t\,\mathrm dt\implies g=e^t
\displaystyle\frac12\int te^t\,\mathrm dt=\frac12\left(te^t-\int e^t\,\mathrm dt\right)

You should end up with

e^{x^2}u=\dfrac12e^{x^2}(x^2-1)+C
u=\dfrac{x^2-1}2+Ce^{-x^2}
\tan y=\dfrac{x^2-1}2+Ce^{-x^2}

and provided that we restrict |y|, we can write

y=\tan^{-1}\left(\dfrac{x^2-1}2+Ce^{-x^2}\right)
5 0
3 years ago
15-x=2(x+3) I need this solved and show me how you solved it
Sunny_sXe [5.5K]
15 - x = 2(x + 3)
15 - x = 2x + 6
15 = 3x + 6
9 = 3x
3 = x
x = 3
4 0
3 years ago
How do you use a net to find the surface area od a triangular prism
Nikolay [14]
Find the area of each figure.
4 0
3 years ago
How many pennies are on the chessboard? 264 264 – 1 264 – 232
ale4655 [162]
18,446,744,073,709,551,615 pennies
7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the value of x in this equation.<br><br> 13(6x – 5) – x = 13 – 2(x + 1)
    5·1 answer
  • Help plz?????????????????
    5·2 answers
  • Twin Primes (a) Let p &gt; 3 be a prime. Prove that p is of the form 3k +1 or 3k – 1 for some integer k. (b) Twin primes are pai
    14·1 answer
  • Ms. Ghandi runs 1 mile each morning and 1 mile each evening. She also does 10 pushups each morning and evening.
    14·1 answer
  • In △Rst, the measure of
    15·2 answers
  • Every day of the week Sam's Swim
    9·1 answer
  • Solve for x |2x-8|&gt;6
    15·1 answer
  • 30. Solve the equation below.<br> 2<br> X- - 5 = 7<br> PLEASE HELP !!
    13·2 answers
  • 6. What is the length of BC?
    6·1 answer
  • 14x - 2x + 3
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!