Questions from General Calculus

Q: Find all points (x, y) where f (x

Find all points (x, y) where f (x, y) has a possible relative maximum or minimum. f (x, y) = -8y3 + 4xy + 4x2 + 9y2

Q: Find all points (x, y) where f (x

Find all points (x, y) where f (x, y) has a possible relative maximum or minimum. f (x, y) = 2x3 + 2x2y - y2 + y

Q: Find all points (x, y) where f (x

Find all points (x, y) where f (x, y) has a possible relative maximum or minimum. f (x, y) = 15/4 x2 + 6xy - 3y2 + 3x + 6y

Q: Find all points (x, y) where f (x

Find all points (x, y) where f (x, y) has a possible relative maximum or minimum. f (x, y) = 1/3 x3 - 2y3 - 5x + 6y - 5

Q: Find all points (x, y) where f (x

Find all points (x, y) where f (x, y) has a possible relative maximum or minimum. f (x, y) = x4 - 8xy + 2y2 - 3

Q: Find all points (x, y) where f (x

Find all points (x, y) where f (x, y) has a possible relative maximum or minimum. f (x, y) = x3 + x2y - y

Q: Find all points (x, y) where f (x

Find all points (x, y) where f (x, y) has a possible relative maximum or minimum. f (x, y) = x4 - 2xy - 7x2 + y2 + 3

Q: The function f (x, y) = 2x + 3y

The function f (x, y) = 2x + 3y + 9 - x2 - xy - y2 has a maximum at some point (x, y). Find the values of x and y where this maximum occurs.

Q: Find a formula C (x, y, z) that

Find a formula C (x, y, z) that gives the cost of material for the rectangular enclosure in Fig. 7(b), with dimensions in feet. Assume that the material for the top costs $3 per square foot and the ma...

Q: The function f (x, y) = 1/2

The function f (x, y) = 1/2 x2 + 2xy + 3y2 - x + 2y has a minimum at some point (x, y). Find the values of x and y where this minimum occurs.