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.
Answer:
(x-7) (x-4)
Step-by-step explanation:
3x²-33x+84 can be factored into
3 (x-7) (x-4)
Answer:
3/2
Step-by-step explanation:
that is it. if u do ur measure correctly
Answer:
(6, -3)
Step-by-step explanation:
Answer:
15 feet, 7.5 square feet
Step-by-step explanation:
Perimeter = 6.5 + 2.5 + 6
= 15 feet
Area = ½ × 2.5 × 6
= 7.5 feet²
