Dan and Mario went to a sandwich shop to buy sandwiches for their group of friends. Dan bought 2 tuna and 5 vegetarian sandwiche
2 answers:
Answer:
Step-by-step explanation:
Given : Dan bought 2 tuna and 5 vegetarian sandwiches for $37. Mario bought 4 tuna and 3 vegetarian sandwiches for $39.
To Find: Which system of equations can be used to solve for the cost of each kind of sandwich
Solution:
Let the cost of 1 tuna be x
Cost of 2 tuna = 2x
Cost of 4 tuna = 4x
Let the cost of 1 vegetarian sandwich be y
Cost of 5 sandwiches= 5y
Cost of 3 sandwiches= 3y
Since we are given that Dan bought 2 tuna and 5 vegetarian sandwiches for $37
So, equation becomes:
Mario bought 4 tuna and 3 vegetarian sandwiches for $39.
So, equation becomes:
Hence system of equations can be used to solve for the cost of each kind of sandwich :
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Answer:
1,2 and 4 are conservatives
3 is not conservative
Step-by-step explanation:
We calculate the Curl F
Remember that:
Curl F = <>
1. Curl F = <0,0,5-5> = <0,0,0>
The potential function f so that ∇f=F
f(x,y,z) =
Then F is conservative
2. Curl F = < 0, 0 ,0>
The potential function f so that ∇f=F
f(x,y,z) =
Then F is conservative
3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>
= <0 ,0 , 10 +3xsin(y) + cos(y)<
How the field's divergence is not zero the vector field is not conservative
4. Curl F = <0, 0, 0>
The potential function f so that ∇f=F
f(x,y,z) =
Then F is conservative