Determine the sign of fx and fy at each indicated point using the contour diagra

Question

Determine the sign of fx and fy at each indicated point using the contour diagram of f shown below. (The point P is that in the first quadrant, at a positive x and y value; Qthrough T are located clockwise from PP, so that Q is at a positive x value and negative y, etc.)

(1 point) Determine the sign of fa and fy at each indicated point using the contour diagram of f shown below. (The point P is that in the first quadrant, at a positive z and y value; Q through T are located clockwise from P, so that Q is at a positive value and negative y, etc.) -15 -15 -1 15 (a) At point Q feis positive his positive (b) At point R and is positive and Jyis negative (c) At point S his positive and Jy IS positive Note: You can eam partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 2 times Your overall recorded score i You have 3 attempts remaining. s 50%.

Explanation / Answer

Ans)  As we look at the slopes:
At P: both x, y decrease,
  so fx=negative, fy=negative
At Q: x decreases, y increases,
so fx=negative, fy=positive
At S: x increases, y decreses,
  so fx=positive, fy=negative
and At R: both x, y increse,
  so fx=positive, fy=positive

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