The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4
To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
![y= \sqrt[5]{Bx+C}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%5B5%5D%7BBx%2BC%7D%20)
</span>
The answer is 34.05
The total distance (D) is the sum of three distances (d1, d2, and d3).
The distance formula is

Distance 1: Phoenix (–12, –16) to Blythe (–20, –9)<span>:
</span>

Distance 2: Blythe (–20, –9) to Los Angeles (–33, –4):

Distance 3: Los Angeles (–33, –4) to <span>San Francisco (–36, 5)
</span>

<span>
D = d1 + d2 + d3 = 10.63 + 13.93 + 9.49 = 34.05</span>
D
the n th term (explicit ) formula for a geometric sequence is
= 

The given explicit formula therefore has
= 5 and r = - 
The recursive formula, allows us to find the next term in the sequence from the previous term
Here the next term in the sequence is obtained by multiplying the previous term by - 
=
(-
) with
= 5
The answer is 1.7325
1x5=5
1x2=2
1x8=8
Add a zero
2x5=10
2x2=4
2x8=40
Add a Zero
All the answers to the next number will all be zero.
Add that all together.