The next step is to solve the recurrence, but let's back up a bit. You should have found that the ODE in terms of the power series expansion for
which indeed gives the recurrence you found,
but in order to get anywhere with this, you need at least three initial conditions. The constant term tells you that
, and substituting this into the recurrence, you find that
for all
.
Next, the linear term tells you that
, or
.
Now, if
is the first term in the sequence, then by the recurrence you have
and so on, such that
for all
.
Finally, the quadratic term gives
, or
. Then by the recurrence,
and so on, such that
for all
.
Now, the solution was proposed to be
so the general solution would be
Answer:
1. x = +/- 2 - 7
2. x = +/-
3. n = +/-
Step-by-step explanation:
1. Divide both sides by 2: (x + 7)^2 = 8
Square root both sides: x + 7 = +/- 2
Subtract 7 from both sides: x = +/- 2 - 7
2. Square root both sides: x - 3 =
Since there is a negative inside the radical, we need to have an imaginary number: . So,
Add 3 to both sides: x = +/-
3. Divide by -5 from both sides: (n - 2)^2 = -2
Square root both sides: n - 2 =
Again, we have to use i:
Add 2 to both sides: n = +/-
Hope this helps!
Answer:
The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099
Step-by-step explanation:
A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of 8 dollars.
Standard deviation =
We are supposed to find proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars i.e.P(104.60<x<108.20)
At x = 104.60
Z= 2.2
At x=108.20
Z= 2.65
Refer the z table for p value :
P(x<108.20)-P(x<104.60)=P(Z<2.65)-P(Z<2.2)=0.9960-0.9861=0.0099
Hence The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099
Answer:
1
Step-by-step explanation:
5x2 is 10 subtract that and add it to 6 which gives you -4 then you do -4/-4 which is 1
40% is the answer. you create a ratio and percent table is a way of solving it. Hope this helps!