Question

Какого наибольшего значения может приобретать пример : 1-(а-3)в третьей степени

Answer 1

[1-(a-3)³]`=-3(a-3)²=0
a=3
наибольшее значение равно 1 при а=3

Answer 2

Calculation of the Expression

To find the maximum value of the expression 1 - (a - 3)^3, we need to determine the value of a that maximizes the expression.

Let's break down the steps to calculate the expression:

1. Substitute a with a specific value. 2. Evaluate the expression using the substituted value. 3. Repeat steps 1 and 2 for different values of a to find the maximum value.

Let's calculate the expression for different values of a to find the maximum value.

1. For a = 0: - Substitute a with 0 in the expression: 1 - (0 - 3)^3 - Evaluate the expression: 1 - (-3)^3 = 1 - (-27) = 1 + 27 = 28

2. For a = 1: - Substitute a with 1 in the expression: 1 - (1 - 3)^3 - Evaluate the expression: 1 - (-2)^3 = 1 - (-8) = 1 + 8 = 9

3. For a = 2: - Substitute a with 2 in the expression: 1 - (2 - 3)^3 - Evaluate the expression: 1 - (-1)^3 = 1 - (-1) = 1 + 1 = 2

4. For a = 3: - Substitute a with 3 in the expression: 1 - (3 - 3)^3 - Evaluate the expression: 1 - (0)^3 = 1 - 0 = 1

From the calculations above, we can see that the maximum value of the expression 1 - (a - 3)^3 is 28 when a = 0.

Please note that this calculation assumes that a can take any real value. If there are any specific constraints or context regarding the value of a, please let me know, and I'll be happy to assist you further.

Conclusion

The maximum value of the expression 1 - (a - 3)^3 is 28 when a = 0.