A conservative vector field

has curl

. In this case,

so the vector field is not conservative.
The minimum amount of trips would be 5. This is because in one trip he can only carry 3, so you would take 5 times 3. You may think it should be 4 trips, but 12 is 1 short of 13,so you would have to make one extra trip to get all 13 bottles.
D) 160 gallons because you get the total miles and divide it by mpg
Answer : y>0
f(x) = 9*2^x
f(x) is an exponential function

When we plug in positive value for x , the value of y is positive
When we plug in negative value for x , the value y is also positive
So for any value of x, the y value is positive always.
Range is the set of y values for which the function is defined
y values are positive , so range is y >0
<u>Answer</u>
18 and 12
<u>Explanation</u>
Factor is a number or algebraic expression that divides another number or expression evenly that is with no remainder.
Odd number have few factors so the can't be the answer.
WE are going to try the even numbers.
18 ⇒ 18, 9, 6, 3, 2, 1
16 ⇒ 16, 8, 4, 2, 1
12 ⇒ 12, 6, 4, 3, 2, 1
10 ⇒ 10, 5, 2, 1
Other number less than 10 has factors less than 5.
It can be seen from above that 18 and 12 have the most factors.