V is the 3D region enclosed by S.
div(F)= <span>∂(x)/∂x + ∂(y)/∂y + ∂(10)/∂z = 2
</span>
<span>∫ = ∫∫∫ [V] div(F) dV = 2 ∫∫∫ [V] dV
Using cylindrical coords, ( rcos(θ), y, rsin(θ) ), dV=rdrdθdy
∫ = 2 ∫∫∫ rdrdθdy, [r=0,1], [θ=0,2π], [y=0,7−rcos(θ)] = 14π (easily integrated)</span><span>
</span>
<u>Answer:</u>
16.4%
<u>Step-by-step explanation:</u>
We know that a station charges $15.95 for a lubrication job and as a promotion sell six coupons were sold for lubrication jobs for $80.
We are to find the percentage discount that was being offered on purchase of 6 coupon lube book.
Original price of 6 coupons = 6 × 15.95 = $95.7
Difference in prices = 95.7 - 80 = $15.7
Percentage discount = 15.7/95.7 = 16.4%
Answer:
$18
Step-by-step explanation:
1 pound of raisins = $2
1 pound of almonds = $5
Let the number of raisins be represented by a
Let the number of almonds be represented by b
We are told in the question that:
Six pounds of a trail mix contains 2 more pounds of raisins than almonds.
a + b = 6 pounds
Hence, Almonds = 2 pounds
Raisins = 4 pounds
The cost of the 6 pounds of trail mix
= 4 × $2 + 2 × $5
=$8 + $10
= $18
Answer:
feet
Step-by-step explanation:
Total length of the board = 
feet
Length of board that is removed from the larger board = 
When a smaller board is removed, the length of the remaining board can be calculated using subtraction as:
Remaining Length of board = Total Length - Length of smaller board
= 
This means feet of board remains after removing the smaller board from it.
Answer:
B
Step-by-step explanation:
