Question

Z = In(9-x² - y²) + √y​

Answer 1

Ответ:y = √9-x²-y² ⇒ 9-x²-y² ≥ 0; x²+ y² ≤ 9

Пошаговое объяснение: при умножении на ( - 1) знак неравенства меняется на противоположный ⇒ Строим окружность радиуса 3; Область определения - внутренняя часть круга радиуса 3, включая точки окружности.

Answer 2

The expression you provided is Z = ln(9 - x² - y²) + √y.

This expression involves two variables, x and y. It represents a mathematical function where the value of Z depends on the values of x and y. The function consists of two terms: the natural logarithm of the expression (9 - x² - y²) and the square root of y.

The natural logarithm (ln) is a mathematical function that returns the logarithm of a number to the base e (approximately 2.718). In this case, the natural logarithm is applied to the expression (9 - x² - y²).

The square root (√) is a mathematical operation that calculates the value which, when multiplied by itself, gives the original number. In this case, the square root is applied to the variable y.

To evaluate the value of Z for specific values of x and y, substitute those values into the expression and perform the calculations. For example, if x = 2 and y = 4:

Z = ln(9 - 2² - 4²) + √4 = ln(9 - 4 - 16) + 2 = ln(-11) + 2

Please note that taking the natural logarithm of a negative number is undefined in the real number system. So, for certain values of x and y, the expression may not have a real-valued solution.