I will give thumbs up for the correct answer. The following is a map with curves

Question

I will give thumbs up for the correct answer.

The following is a map with curves of the same elevation of a region in Orangerock National Park: y(meters) We define the altitude function, A(x, y), as the altitude at a point x meters east and y meters north of the origin ("Start") a Estimate A(300, 300) and A(500, 500). b. Estimate A_x(300, 300) and A_y(300, 300). C. What do A_x and A_y represent in physical terms? d. In which direction does the altitude increases most rapidly at the point (300, 300)? Use your estimate of A_x(300, 300) and A_y(300, 300) to approximate the altitude at (320, 310).

Explanation / Answer

From the given question,

a) A(300,300)=70

A(500,500)=97

b)Ax(300,300)=(80-70)/(400-300)=0.1

Ay(300,300)=(82-70)/(400-300)=0.12

C)Ax represents change in altitude as we go towards east.

Ay represents change in altitude as we go towards north.

D)The altitude increases most rapidly in south direction at point (300,300)

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