The cylinder is symmetric across the plane
, so we need only consider half of the cut-out region.
This region can be parameterized by
with
and
. Then the area of this half is given by the surface integral
Doubling this gives a total area of 72.
Answer:
1/5
Step-by-step explanation:
I think you go to the number 1 on the bottom and you go up 5 and there's your answer?
The question is incomplete. The complete question is :
Nate starts a lawn-mowing business. In his business, he has expenses and revenue. Nate's expenses are the cost of the lawn mower and gas, and his revenue is $25 per lawn. At what point will Nate's revenue exceed his expense?
Cost of lawn mower = $ 200
Cost of gasoline = $ 2 per lawn
Solution :
Given :
Cost of the lawn mower = $ 200
The cost of gasoline expense for one lawn = $ 2
The revenue generated for one lawn = $ 25
So let the number of lawn to be mowed = x
Therefore the total expenses = 
So, the total revenue = 
The point for which the revenue will exceed the total expenditure will be :
So at 
Thus the revenue exceeds the total expenditure after mowing 9 number of lawns.
Answer:
1.0
Step-by-step explanation:
Use our brains and what we know
f(x)=a(x-h)²+k
vetex is (h,k)
and a is te leading coefient
if directix is below the focus, then it opens up and a is positive
if directix is above focus, then it opens down and a is negaitve
vertex is in between directix and focus
so
(3,-1) and y=1
-1<1
so directix is above
a is negative
directly in between
distance from -1 to 1 is 2
2/2=1
1 above (3,-1) is (3,0)
vertex is (3,0)
y=a(x-3)²+0
y=a(x-3)²
the only option with a negative 'a' value is B
answer is B
