Critical points

May answer key po ba kayo nito. Icheck ko lang po sana kung tama answers ko. Thank you po. Critical points/maxima and minima

y=4-6x+x²
y=(2x-1)²
y=2+12x-x³
y=x³-3x²-9x+20
y=x³-3x²+4x+5
y=x³-6x²+12x
y=x⁴+2x²+8x+3
y=16x+4x²-x⁴
y=x²(x-2)²
a³y=x⁴
9a³y=x(4a-x)³
a³y=x²(2a²-x²)
a³y=x³(4a-3x)
a⁵y=x⁴(3a²-2x²)

Dynamics

Hi! Pahelp please? Anyone who has a good heart huhuhu. I badly need your help. Anyone who can answer this? I mean with the process.

The collar has a mass of 3kg and is supported on the rod having a coefficient of kinetic friction Uk=0.4. The attached spring has an unstretched length of 0.2m and stiffness k=50N/m. Determine the speed of the collar after the applied force F=200N causes it to be displaced s=1.5m from pt. A. When s=0 the collar is held at rest?

What is the process?

Statics

A 25-kg block rests on a 30° rough incline. The coefficient of static friction between the block and the surface is 0.40. The block is at rest.