Find the directional derivative of the function f(x,y) = at the point p(7, 0) in the direction of the unit vector that makes the angle with the positive x-axis.


b. 13

Mathematics

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Solve the problem.The Montgomerys borrowed $86,000 at 7.50% for 30 years to purchase a house. Find the total interest the Montomerys will pay if they pay the loan on schedule.

A. $142,794.40 B. $135,673.60 C. $130,410.40 D. $119,884.00

Mathematics

Write using exponential notation.19 × 19 × 19 × 19 × 19

A. 5 × 519 B. 519 C. 195 D. 5 ? 19

Mathematics

Provide an appropriate response.Graph the relation y = x2 - 4 by plotting points. Use the graph of the relation to identify the domain and range.

A. domain: (-?, ?); range: [4, ?)

B. domain: (-?, ?); range: [-4, ?)

C. domain: (-?, ?); range: [0, ?)

D. domain: (-?, ?); range: [0, ?)

Mathematics

Find the missing factor.25x2 - 10xy - 24y2 = (5x - 6y)( )

A. 4y - 5x B. 5 + 4xy C. 4x - 5y D. 5x + 4y

Mathematics