Answer:
S'(x)=-0.006x2+0.8x+9
Step-by-step explanation:
The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).
We know that the derivative of
is
(where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:
S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9
Which means:
S'(x)=-0.006x2+0.8x+9
280,706 is standard form.
I HOPE THIS HELPS!
So you need to put both the equation in the y equals if you have a graphing calculator
Then you compare the two equation
f(x) is an decay and g(x) is growth
For choice one and three, the answer choice doesn't make sense leaving you with two and four as the only ones.
Since f(x) is a decay, it cant be choice four either leaving choice 2 as the final answer
This makes sense because g(x) is a growth
I hope this helps!
Answer:
slope = - 
Step-by-step explanation:
the slope of the secant line in the closed interval [a, b ] is
slope = 
here [a, b ] = [1, 4 ]
f(b) = f(4) = -
+ 5 = - 16 + 5 = - 11
f(a) = f(1) = -
+ 5 = - 2 + 5 = 3
slope =
=
= - 