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.
C. An arithmetic sequence with common difference 6
Answer:
The ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.
Step-by-step explanation:
As we have to make 100g of jam
so
- Amount of strawberries = 57g
-
Amount of blackberries = 13g
Thus
The amount of sugar needs to be added to the mixture: 100 - (57 - 13) = 56g
Therefore, the ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.
