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
Dimas [21]
3 years ago
6

Hello Everyone! If you are having any difficulties in Math book D1 and D2, then do tell me in the channel discussion section. I'

ll be happy to respond to all your math queries. I will be uploading videos with clear explanations in order to clear your concepts.

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

Answer:

h

Step-by-step explanation:

b

You might be interested in
Please someone answer! i need it rn!
SCORPION-xisa [38]
The second one they do not have to pass trough (0,0)
6 0
3 years ago
y′′ −y = 0, x0 = 0 Seek power series solutions of the given differential equation about the given point x 0; find the recurrence
sukhopar [10]

Let

\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = a_0 + a_1x + a_2x^2 + \cdots

Differentiating twice gives

\displaystyle y'(x) = \sum_{n=1}^\infty na_nx^{n-1} = \sum_{n=0}^\infty (n+1) a_{n+1} x^n = a_1 + 2a_2x + 3a_3x^2 + \cdots

\displaystyle y''(x) = \sum_{n=2}^\infty n (n-1) a_nx^{n-2} = \sum_{n=0}^\infty (n+2) (n+1) a_{n+2} x^n

When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.

Substitute these into the given differential equation:

\displaystyle \sum_{n=0}^\infty (n+2)(n+1) a_{n+2} x^n - \sum_{n=0}^\infty a_nx^n = 0

\displaystyle \sum_{n=0}^\infty \bigg((n+2)(n+1) a_{n+2} - a_n\bigg) x^n = 0

Then the coefficients in the power series solution are governed by the recurrence relation,

\begin{cases}a_0 = y(0) \\ a_1 = y'(0) \\\\ a_{n+2} = \dfrac{a_n}{(n+2)(n+1)} & \text{for }n\ge0\end{cases}

Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.

• If n is even, then n = 2k for some integer k ≥ 0. Then

k=0 \implies n=0 \implies a_0 = a_0

k=1 \implies n=2 \implies a_2 = \dfrac{a_0}{2\cdot1}

k=2 \implies n=4 \implies a_4 = \dfrac{a_2}{4\cdot3} = \dfrac{a_0}{4\cdot3\cdot2\cdot1}

k=3 \implies n=6 \implies a_6 = \dfrac{a_4}{6\cdot5} = \dfrac{a_0}{6\cdot5\cdot4\cdot3\cdot2\cdot1}

It should be easy enough to see that

a_{n=2k} = \dfrac{a_0}{(2k)!}

• If n is odd, then n = 2k + 1 for some k ≥ 0. Then

k = 0 \implies n=1 \implies a_1 = a_1

k = 1 \implies n=3 \implies a_3 = \dfrac{a_1}{3\cdot2}

k = 2 \implies n=5 \implies a_5 = \dfrac{a_3}{5\cdot4} = \dfrac{a_1}{5\cdot4\cdot3\cdot2}

k=3 \implies n=7 \implies a_7=\dfrac{a_5}{7\cdot6} = \dfrac{a_1}{7\cdot6\cdot5\cdot4\cdot3\cdot2}

so that

a_{n=2k+1} = \dfrac{a_1}{(2k+1)!}

So, the overall series solution is

\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = \sum_{k=0}^\infty \left(a_{2k}x^{2k} + a_{2k+1}x^{2k+1}\right)

\boxed{\displaystyle y(x) = a_0 \sum_{k=0}^\infty \frac{x^{2k}}{(2k)!} + a_1 \sum_{k=0}^\infty \frac{x^{2k+1}}{(2k+1)!}}

4 0
2 years ago
What value of x is in the solution set of 2(3x – 1) 2 4x - 6?<br> 0-10<br> O -5<br> O-3<br> 0 -1
DaniilM [7]
-3 is the correct answer
3 0
2 years ago
ASAP PLS I HHAVE SCHOOL TOMORROW :((
tatyana61 [14]

Answer:

it divides by five

Step-by-step explanation:

500/5=100

100/5=20

20/5=4

4/5=0.8!

Brainliest pls

8 0
2 years ago
-2=-5+z/-2<br> Solve for z<br><br> Steps on how to do this?
Sedaia [141]

Step-by-step explanation:

fjrnrn.dnd.amsamammqmmakakqkkwkwkwjkwk

5 0
2 years ago
Read 2 more answers
Other questions:
  • We draw a random sample of size 36 from a population with standard deviation 3.5. If the sample mean is 27, what is a 95% confid
    12·2 answers
  • What is the greatest common factor of 343, 49, and 196? 49 14 7 343 3?
    11·1 answer
  • Simplify the expression: 3(4d + 1) <br>​
    14·2 answers
  • Whats these -4e-9=19 answer
    11·1 answer
  • How many inches are in 1 2/5 groups of 1 2/3 inches? PLEASE HELPPPP I ONLY HAVE 10 MINUTES LEFT
    5·1 answer
  • A credit card company charges 22% interest fee on any charges not paid at the end of the month.. If the bill totals $450 for thi
    8·1 answer
  • 308 miles in 7 hours. Find the
    7·1 answer
  • We toss a fair coin 4 times. Let X count heads. Find P(X = 0) to nearest ten thousandth (4 decimal places).
    7·2 answers
  • Bruce collected coins. He collected a total of 125 coins. If 72% of the coins he collected were​ foreign, how many other coins d
    14·1 answer
  • A plant that is 6 inches tall grows 1 inch each week. Another plant is 4 inches tall and grows 2 inches each week
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!