Question

Y = 4 * (x - 3)^6 - 7 * (x - 3)^3 + 2 при х = 2

Answer 1

У=4×(-1)^6-7×(-1)^3+2=4+7+2=13

Answer 2

To find the value of Y when x = 2, you need to substitute the value of x into the given expression for Y:

Y = 4 * (x - 3)^6 - 7 * (x - 3)^3 + 2

Substitute x = 2:

Y = 4 * (2 - 3)^6 - 7 * (2 - 3)^3 + 2

Now, let's simplify the expression:

(2 - 3) = -1

Y = 4 * (-1)^6 - 7 * (-1)^3 + 2

Since any number raised to an even power is positive, and any number raised to an odd power keeps its sign:

(-1)^6 = 1 (positive) (-1)^3 = -1 (negative)

Y = 4 * 1 - 7 * (-1) + 2

Now, perform the remaining operations:

Y = 4 + 7 + 2

Y = 13

So, when x = 2, Y = 13.