The directional derivative of at the point in the direction of is
We have
With ,
has magnitude
and so the directional derivative is
Answer:
12 would be your answer.
Step-by-step explanation:
There were 4 days and the zombie lost 3 limbs each of those 4 days so 3×3×3×3=12 or 3×4=12. I hope this helps you : )
Answer:
a=1 is the answer
Step-by-step explanation:
let
p(x)=x³-2ax²+16
put x= -2
p(-2)=(-2)³-2a(-2)²+16
p(-2)=-8+16-8a
p(-2)=8-8a
as (x+2) is a factor of p(x) then p(x) is equal to zero
8-8a=0
8=8a
a=1
i hope this will help you
Answer:
The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h
Step-by-step explanation:
At noon the location of Lan = 300 km north of Makenna
Lan's direction = South
Lan's speed = 60 km/h
Makenna's direction and speed = West at 75 km/h
The distance Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km
The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km
The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km
Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.
By Pythagoras' theorem, we have;
s² = x² + y²
The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61
ds²/dt = dx²/dt + dy²/dt
2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt
2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900
ds/dt = 900/(2×30·√61) ≈ 1.92
The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h