We're looking for a scalar function 
such that 
. That is,
Integrate the first equation with respect to 
:
Differentiate with respect to 
:
Integrate with respect to :
So 
is indeed conservative with the scalar potential function
where 
is an arbitrary constant.
The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)
If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
Answer:
80
Step-by-step explanation:
(20 x 2) + (10 x 4) = 40 + 40 = 80
brainliest please ;)
Answer:
2 cm per hour
Step-by-step explanation:
1 hour lines up with 2cm
2 hours line up with 4cm
3 hours line up with 6cm
Alright, lets get started.
One report takes to file an average of = 45 minutes
Means 12 reports takes to file time = 12 * 45 = 540 minutes
12 reports filing total time = 540 minutes
We are asked to find time to file 75 % of them.
Which means 75 % of 540
= 540 * 75/100
= 540 * 0.75
= 405 minutes
We could convert it into hrs dividing with 60.
405 / 60 = 6.75 hrs
Means it will take 6.75 hrs to file 75% of them: Answer
Hope it will help :)
