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lubasha [3.4K]
3 years ago
8

. Find the angles thetaθ ​(with respect to the positive​ x-axis) associated with the directions of maximum​ increase, maximum​ d

ecrease, and zero change. What​ angle(s) is/are associated with the direction of maximum​ increase?
Mathematics
1 answer:
shtirl [24]3 years ago
3 0

Answer:

  • maximum increase: 90°
  • maximum decrease: -90°
  • zero change: 0°

Step-by-step explanation:

A line or ray pointing straight upward will be pointing in the direction of maximum increase. It will make an angle of 90° with respect to the x-axis.

A line or ray pointing straight downward will be pointing in the direction of maximum decrease. It will make an angle of -90° with respect to the x-axis.

A horizontal line will be associated with zero change. It makes an angle of 0° with respect to the x-axis.

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