Answer:
The first derivative of is .
Step-by-step explanation:
Let , we apply natural logarithms in both sides of the expression:
(1)
Then, we differentiate (1) respect to :
Answer:dsnsjfnwnjdfneknnk m c
Step-by-step explanation:
Step-by-step explanation:
Given the linear expression
-6x + 24 = 14x + 16
1. The equation -6x + 24 = 14x + 16 is equivalent to the given equation
the answer is True
2. The given equation has infinitely many solutions
the answer is false for all values of x
3. if -6x + 24 is changed to 7x + 4 then the equation will not have a solution
the answer is True
4. If the left side of the given equation is changed to 12, then there will be only one solution.
the answer is True
Answer:
5% growth.
Step-by-step explanation:
1.05 = 1 + 0.05 = 1 + 5%
It is 5% growth.
Answer:
7
Step-by-step explanation:
The function can be written in vertex form as ...
f(x) = -(x +1)^2 +7
The vertex is then identifiable as (-1, 7). The y-coordinate is 7.
_____
Vertex form is ...
f(x) = a(x -h)^2 +k
where "a" is the vertical scale factor, and (h, k) is the vertex point. It is convenient to arrive at this form by factoring "a" from the first two terms, then adding and subtracting the square of the remaining x-coefficient inside and outside parentheses.
f(x) = -(x^2 +2x) +6
f(x) = -(x^2 +2x +1) + 6 -(-1) . . . . completing the square
f(x) = -(x +1)^2 +7 . . . . . . . . . . . . vertex form; a=-1, (h, k) = (-1, 7)