Are the following statements true or false?

1. if f⃗ is a vector field in 3-dimensional space satisfying div(f⃗ )=1, and s is a closed surface oriented outward, then ∬sf⃗ ⋅da⃗ is equal to the volume enclosed by s.

2. if f⃗ is a vector field in 3-dimensional space, and w is a solid region with boundary surface s, then ∬s f⃗ ⋅da⃗ =∭wdiv(f⃗ )dv.

3. if ∬sf⃗ ⋅da⃗ =12 and s is a flat disk of area 4π, then div(f⃗ )=3/π.

4. if f⃗ is a vector field in 3-dimensional space, then grad(div(f⃗ ))=0⃗ .

5. if f⃗ and g⃗ are vector fields satisfying div(f⃗ )=div(g⃗ ), then f⃗ =g⃗ .

answer: what

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~

answer:  

step-by-step explanation:

odd numbers are only divisible by 1 and itself.

even numbers are divisible by more than 1 and itself.

for example 6 is even because it is divisible by more than 1 and its self. 1 x 6= 6 ; 2 x 3= 6

and 7 is odd because only 7 x 1 equals seveb