If $f ( x , y ) = \sin ( x ) + y ^ { 2 }$

question 24

Essay

If $f ( x , y ) = \sin ( x ) + y ^ { 2 }$ x(u, v)= uv and y(u, v)= u + 3v.
If H(u, v)= f(x(u, v), y(u, v)), what is H_v(0,-2)? Give your answer to 4 decimal places.

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Definitions:

Increase And Decrease

General terms referring to the upward or downward movement in value, quantity, or level of something over time.

Compound Journal Entry

An accounting journal entry that involves more than two accounts, where there is at least one debit and two or more credits, or vice versa.

Debits

Financial transactions that increase assets or decrease liabilities or equity on a company's balance sheet.

Credits

Accounting entries that increase liabilities or decrease assets, representing the source of value in transactions.