We want to find a scalar function
such that
.
So we need to have
Integrating both sides with respect to
gives
Differentiating with respect to
gives
So we find that
By the fundamental theorem of calculus, we then know the line integral depends only on the values of
at the endpoints of the path. Therefore
Step-by-step explanation:
6ac+10ac
2ac(6ac+10ac)
2ac(3+5)
Answer:
I hope it's help
Step-by-step explanation:
I hope it's help
Answer:
108,000 joules
Step-by-step explanation:
Kinetic energy, k = 1/2 mv^2
Where,
m = mass of the object in kilogram
v = velocity in meters per seconds
If
Velocity of an object = 20 meters per seconds
Kinetic energy = 48,000 joules
Solve for m
k = 1/2 mv^2
48,000 = 1/2 × m × 20^2
48,000 = 1/2 × m × 400
48,000 = 200m
m = 48,000 / 200
m = 240 kg
If it speeds up to 30 meters per second, then what is its new kinetic energy?
k = 1/2 mv^2
Using m = 240 kg
k = 1/2 mv^2
= 1/2 × 240 × 30^2
= 1/2 × 240 × 900
= 216,000 / 2
= 108,000 joules
The new kinetic energy = 108,000 joules
Answer:
First deposit - Same amount
Second deposit - Sylvia
Third deposit - Sylvia
Step-by-step explanation:
Leroi put $200 in their account. They will add $40 every week.
Deposit 1: $240
Deposit 2: $280
Deposit 3: $320
Sylvia put $200 in their account. They will add 20% of the amount in the account each week.
Deposit 1: $240 (20% of $200 is $40)
Deposit 2: $288 (20% of $240 is $48)
Deposit 3: $345.60 (20% of $288 is $57.60)
So, Sylvia and Leroi have the same amount of money in their accounts after the first deposit. After the second and third deposit, Sylvia has more money.
