Answer:
14.9
Step-by-step explanation:
Hope this helps!
The final answer is (2,1).
Step 1: Solve for either x or y in one of the two equations.
x + 3y = 5
- 3y - 3y
----------------------
x = -3y + 5
Step 2: Substitute the expression you got for x into the opposite equation.
-3y + 5 - 3y = -1
-6y + 5 = -1
- 5 - 5
--------------------
-6y = -6
------ -----
-6 6
y = 1
Step 3: Plug in the solution you got for y into either of the 2 equations.
x + 3(1) = 5
x + 3 = 5
- 3 - 3
---------------
x = 2
Answer:
Step-by-step explanation:
Lets suppose the one side be x and the other side of the rectangle be y
given area
implies x = 650/y
Cost = 2*4*x+2*3*y=8x+6y
= 8*650/y + 6y
= 5200/y + 6y
upon differentiating we get
=
= 2600/3
y= = 43.3
x= 15
C(43.3)= >0 hence it is a minima value
optimizing the result we get
Cost = 8*15+6*43.3 =$ 379.8
I assume has counterclockwise orientation when viewed from above.
By Stokes' theorem,
so we first compute the curl:
Then parameterize by
where the -component is obtained from
with and .
Take the normal vector to to be
Then the line integral is equal in value to the surface integral,
Answer:
Step-by-step explanation:
221/17= 13 miles per hour over
30 limit + 13 over = 43mph