Answer:

Interval notation: 
Step-by-step explanation:
<u>First inequality:</u>
<u />
Therefore, this inequality restricts:

<u>Second inequality:</u>

Therefore, this inequality restricts:

Therefore, with both of these restrictions together, we have:
.
Answer:
Step-by-step explanation:instead, try making the subscripts and superscripts stand out:
n-1
a = a * r
n n-1
Believe me, it's worth the extra work to do this!!
Given the sequence -3, -6, -12, -24, you can easily see that the first term,
a is -3. The common factor is 2. Note how (-3)*2=-6, and so on.
1
So, a = -3 and r=2.
1
So the formula for this geometric sequence is
n-1
a = -3*2
n
Answer: 40%
Step-by-step explanation: all percents add to 100%, so 40%+20%=60%, and 100%-60%=40%
Answer:

Step-by-step explanation:
given,
y′′ + 4 y = 4 x
D² y + 4 y = 4 x
(D²+4) y = 4 x
now, writing Auxiliary equation
m² + 4 = 0
m² = -4
m = ± 2 i
now, complimentary function

a = 0 , b = 2

particular integral (y_p)
y_p = a x
y'_p = a
y"_p = 0
now,
y′′+ 4 y = 4 x
0+ 4 (a x )= 4 x
4 a x = 4 x
a = 1
now,
y_p = x
now, general equation

