Answer:
a) d²y/dx² = ½ x + y − ½
b) Relative minimum
Step-by-step explanation:
a) Take the derivative with respect to x.
dy/dx = ½ x + y − 1
d²y/dx² = ½ + dy/dx
d²y/dx² = ½ + (½ x + y − 1)
d²y/dx² = ½ x + y − ½
b) At (0, 1), the first and second derivatives are:
dy/dx = ½ (0) + (1) − 1
dy/dx = 0
d²y/dx² = ½ (0) + (1) − ½
d²y/dx² = ½
The first derivative is 0, and the second derivative is positive (concave up). Therefore, the point is a relative minimum.
We put the information above in a table as shown below
The number of bread available is 120, so the first constraint is
The number of cheese available is 160 slices, so the second constraint is
The next constraint is the profit
Answer:
8 + 18+ 28+ 38+ 48= 140
Step-by-step explanation:
I'm pretty sure the answer is B) 11c+8.5(c-46)=470
hope i help :)
Answer:
x = 2
Step-by-step explanation:
x + 1 + 4 = 2x + 3
x + 5 = 2x +3
x + 2 = 2x
2 = x
x = 2