Question

. Find the angles thetaθ ​(with respect to the positive​ x-axis) associated with the directions of maximum​ increase, maximum​ decrease, and zero change. What​ angle(s) is/are associated with the direction of maximum​ increase?

Answer 1

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.