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

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Definitions:

Black Bread Mold

A common type of fungus that grows on bread and other food items, causing spoilage.

Ascomycota

A phylum of fungi characterized by the formation of spores in a sac-like structure called an ascus.

Zygomycota

A class of fungi characterized by their life cycle including a sexual phase that produces zygospores, often found as molds on food or organic matter.

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The significance of a particular sector, industry, or commodity in contributing to the economic health and growth of a region, country, or global economy.