Answer:
b= -32b+32
Step-by-step explanation:
You multiply the 8(-b-4) then multiply the b by 4
Answer:
Step-by-step explanation:
g(x) = -2f(x)
Vertical stretch by virtue of the factor 2
Reflection over the x-axis by virtue of the factor -1
I don't know what method is referred to in "section 4.3", but I'll suppose it's reduction of order and use that to find the exact solution. Take

, so that

and we're left with the ODE linear in

:

Now suppose

has a power series expansion



Then the ODE can be written as


![\displaystyle\sum_{n\ge2}\bigg[n(n-1)a_n-(n-1)a_{n-1}\bigg]x^{n-2}=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%5Cge2%7D%5Cbigg%5Bn%28n-1%29a_n-%28n-1%29a_%7Bn-1%7D%5Cbigg%5Dx%5E%7Bn-2%7D%3D0)
All the coefficients of the series vanish, and setting

in the power series forms for

and

tell us that

and

, so we get the recurrence

We can solve explicitly for

quite easily:

and so on. Continuing in this way we end up with

so that the solution to the ODE is

We also require the solution to satisfy

, which we can do easily by adding and subtracting a constant as needed:
Answer:
Step-by-step explanation:
Split the area into two sections by extending 6 in segment.
We get a rectangle of 5 in x 10 in and a trapezoid.
<u>Rectangle:</u>
<u>Trapezoid:</u>
- A = 1/2(b₁ + b₂)h
- A = 1/2((15 - 5) + 7)*(10 - 6) = 1/2*17*4 = 34 in²
<u>Total area:</u>
Answer: its b
Step-by-step explanation:
bc i used a calculator and it said so