Find the Slopes of the Surface $h ( x , y ) = 3 y ^ { 2 } - x ^ { 2 }$

question 45

Multiple Choice

Find the slopes of the surface $h ( x , y ) = 3 y ^ { 2 } - x ^ { 2 }$ in the x- and y- directions at the point $( - 1,3,26 )$ .

• A)slope in x-direction: 29slope in y-direction: 17
• B)slope in x-direction: 2slope in y-direction: 18
• C)slope in x-direction: 17slope in y-direction: 29
• D)slope in x-direction: 20slope in y-direction: 20
• E)slope in x-direction: 18slope in y-direction: 2

---

Definitions:

Self-Actualization

The realization or fulfillment of one's talents and potentialities, considered as a drive or need present in everyone.

Social Needs

Refers to the human requirements for belonging, affection, acceptance, and friendship, which are crucial for mental health and well-being.

Praise

The expression of approval or admiration for someone or something.

Recognition

Acknowledgment or praise given to individuals or groups for their achievements, contributions, or performance.