9514 1404 393
Answer:
- relative minimum -6√3 at x = -√3
- relative maximum 6√3 at x = √3
- decreasing on x < -√3 and x > √3
- increasing on -√3 < x < √3
- see below for a graph
Step-by-step explanation:
I find it convenient to draw the graph first when looking for relative extrema.
The function can be differentiated to get ...
f'(x) = -3x^2 +9
This is zero when ...
-3x^2 +9 = 0
x^2 = 3
x = ±√3 . . . . . x-values of relative extrema
Then the extreme values are ...
f(±√3) = x(9 -x^2) = (±√3)(9 -3) = ±6√3
The lower extreme (minimum) corresponds to the lower value of x (-√3), so the extrema are ...
(x, y) = (-√3, -6√3) and (√3, 6√3)
__
Since the leading coefficient is negative and the degree is odd, the function is decreasing for values of x below the minimum and above the maximum. It is increasing for values of x between the minimum and the maximum.
decreasing: x < -√3, and √3 < x
increasing: -√3 < x < √3
Answer:
10/63 because 5x2 is 10 and 9x7 is 63
The formula is
A=p (1+r)^t
A the value of land ?
P purchase price 23500
R rate of appreciation 0.019
T time 7 years
A=23,500×(1+0.019)^(7)
A=26,809
Hope it helps!
(13 + 47) (21 + 79) =
60 + 100 =
160
Answer:
Initial charge is $2.5
Hourly charge is $3.5/hr
Equation is y=3.5x+2.5
Step-by-step explanation:
Getting slope
Get fixed charge
Get equation
The slope can be found as follows. For 1 hour, charges is $6 so making time in x axis while money charged in y axis, the first coordinate is (1, 6) while for 4 hours with charge of $16.5 the coordinate will be (4, 16.5)
The slope will be given by dividing change in y axis to change in x axis. This will be (16.5-6)/(4-1)=3.5
To get the fixed charge
Using the equation y=mx+c where m is slope while c is fixed charge, x is time and y is total cost then for 1 hour
6=3.5(1)+c
C=6-3.5=2.5
Therefore, generally the equation will be y=3.5x+2.5
Initial charge is $2.5
Hourly charge is $3.5/hr
Equation is y=3.5x+2.5
