Find the directional derivative of f(x,y) = - y³ at the point (1, 3) in the direction toward the point (3, 1).


Mathematics

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Determine the number that will complete the square to solve the given equation after the constant term has been written on the right side. Do not actually solve.4x2 + x + 5 = 0

A. 64
B.
C.
D.

Mathematics

Solve the equation by completing the square. k2 + 16k + 64 = 0

A. {± 8} B. {8} C. {-8} D. {-16}

Mathematics

Find the area and perimeter of the rectangle.Length = 12 in., Width = 6 in.

A. A = 144 in.2, P = 24 in. B. A = 72 in.2, P = 12 in. C. A = 144 in.2, P = 18 in. D. A = 72 in.2, P = 36 in.

Mathematics

Find the amount of monthly payment necessary for the deposit to a sinking fund. Anrt$49,000quarterly8%3?

A. $4,889.15 B. $2,275.01 C. $2,627.13 D. $3,085.74 E. $3,653.42

Mathematics