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)
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565 is the correct answer
2x = 7 + 3
2x = 10
x = 10/2
x = 5
S: {5}
Answer:
f(- 2) = 2
Step-by-step explanation:
To evaluate f(- 2), substitute x = - 2 into f(x)
f(- 2) = 3(- 2)² + 5(- 2) = (3 × 4) - 10 = 12 - 10 = 2