Answer:
C = (2, 6)
Step-by-step explanation:
The coordinates of point C can be found as the weighted average of the endpoint coordinates. The weights are the reverse of the relative segment lengths.
For AC : CB = 3 : 1, we have ...
C = (A +3B)/(1+3) = ((-1, 0) +3(3, 8))/4 = (-1+9, 0+24)/4
C = (2, 6)
Answer:
In 22 minutes the remaining cell phone battery will be unknown.
In a of minutes the remaining cell phone battery will be 50%.
Step-by-step explanation:
Answer:
1256 cubic feet
Step-by-step explanation:
Cylinder formula- Pi x Radius squared x The height = the volume
The radius in this problem is 5, 5 squared is 25. 25 x 16= 400. And 400 x 3.14= 1256 cubic inches.
A three-dimensional vector field is conservative if it is also irrotational, i.e. its curl is

. We have

so this vector field is not conservative.
- - -
Another way of determining the same result: We want to find a scalar function

such that its gradient is equal to the given vector field,

:

For this to happen, we need to satisfy

From the first equation, integrating with respect to

yields

Note that

*must* be a function of

only.
Now differentiate with respect to

and we have

but this contradicts the assumption that

is independent of

. So, the scalar potential function does not exist, and therefore the vector field is not conservative.
Attach a picture of the question please.