Questions from General Calculus

Q: Find ∂f/∂x and ∂f/∂y for each

Find ∂f/∂x and ∂f/∂y for each of the following functions. f (x, y) = (2x - y + 5)2

Q: Find ∂f/∂x and ∂f/∂y for each

Find ∂f/∂x and ∂f/∂y for each of the following functions. f (x, y) = ex/(1 + ey)

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) = x2 - 5xy + 6y2 + 3x - 2y + 4

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) = -3x2 + 7xy - 4y2 + x + 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) = 3x2 + 8xy - 3y2 - 2x + 4y - 1

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) = 4x2 + 4xy - 3y2 + 4y - 1

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 + y2 - 3x + 6y

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

Find a formula C (x, y, z) that gives the cost of materials for the closed rectangular box in Fig. 7(a), with dimensions in feet. Assume that the material for the top and bottom costs $3 per square fo...

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) = x2 - y3 + 5x + 12y + 1

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 + 9y2 - 2y