Answer:
48 - 16j
Step-by-step explanation:
y - 3
g(y) = ------------------
y^2 - 3y + 9
To find the c. v., we must differentiate this function g(y) and set the derivative equal to zero:
(y^2 - 3y + 9)(1) - (y - 3)(2y - 3)
g '(y) = --------------------------------------------
(y^2 - 3y + 9)^2
Note carefully: The denom. has no real roots, so division by zero is not going to be an issue here.
Simplifying the denominator of the derivative,
(y^2 - 3y + 9)(1) - (y - 3)(2y - 3) => y^2 - 3y + 9 - [2y^2 - 3y - 6y + 9], or
-y^2 + 6y
Setting this result = to 0 produces the equation y(-y + 6) = 0, so
y = 0 and y = 6. These are your critical values. You may or may not have max or min at one or the other.
The father is 40 years old and the son is 10 years old
I may have gotten it off by a lot, but I’m mostly sure the answer is 1,240,000
Step by step explanation:
10 to the power of 4 is 2,000
2.3 x 2,000 is 4,600. 10 to the power of 3 is 200, so 3.1 x 200 is 620
Finally 620 x 2,000 is 1,240,000
The answer is 81. since (-3)^2 is 9. Therefore, 9x9=81.