Answer:{F, G, H} and {G, C, A} only
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can write two equations in the two unknowns using the given relations. Let g and b represent the costs of a round of golf and a turn in the batting cage, respectively.
5g +4b = 60 . . . . . Sylvester's expense
3g +6b = 45 . . . . . Lin's expense
Dividing the second equation by 3 gives ...
g +2b = 15 ⇒ 2b = 15 -g
Substituting into the first equation, we have ...
5g +2(2b) = 60
5g +2(15 -g) = 60 . . . . . substitute for 2b
3g = 30 . . . . . . . . . subtract 30, collect terms
g = 10 . . . . . . . divide by 3
__
2b = 15 -10 = 5 . . . . use the value of g to find b
b = 2.5 . . . . . . . . divide by 2
Mini golf costs $10 per round; batting cages cost $2.50 per turn.
Answer:
15
Step-by-step explanation:
No. Let's say we use 10 and 0.38. 1 X 10 is 10, so if anything is lower than 1, it will be lower than 10. Therefore, 0.38 X 10 is 3.8. This is less than the whole number, 10. Hope this is clear enough.
Let
The curl is
where 
denotes the partial derivative operator with respect to 
. Recall that
and that for any two vectors 
and 
, 
, and 
.
The cross product reduces to
When you compute the partial derivatives, you'll find that all the components reduce to 0 and
which means 
is indeed conservative and we can find 
.
Integrate both sides of
with respect to 
and
Differentiate both sides with respect to 
and
Now
and differentiating with respect to 
gives
for some constant 
. So
