First of all, when I do all the math on this, I get the coordinates for the max point to be (1/3, 14/27). But anyway, we need to find the derivative to see where those values fall in a table of intervals where the function is increasing or decreasing. The first derivative of the function is

. Set the derivative equal to 0 and factor to find the critical numbers.

, so x = -3 and x = 1/3. We set up a table of intervals using those critical numbers, test a value within each interval, and the resulting sign, positive or negative, tells us where the function is increasing or decreasing. From there we will look at our points to determine which fall into the "decreasing" category. Our intervals will be -∞<x<-3, -3<x<1/3, 1/3<x<∞. In the first interval test -4. f'(-4)=-13; therefore, the function is decreasing on this interval. In the second interval test 0. f'(0)=3; therefore, the function is increasing on this interval. In the third interval test 1. f'(1)=-8; therefore, the function is decreasing on this interval. In order to determine where our points in question fall, look to the x value. The ones that fall into the "decreasing" category are (2, -18), (1, -2), and (-4, -12). The point (-3, -18) is already a min value.
Is there any picture we can work with?
Current density of solution a/m2 is given below
Step-by-step explanation:
Current density is the measure of current generated per unit surface area of electrode.
Eg: In microbial fuel cell/fuel cells, if you are using electrode with size of 5cm x 2cm and current produced is 200mA, then current density will be,
CD= Current/(projected area of electrode)
area of rectangle= LxB= 5cm x 2cm =10cm2
CD= 200mA/10cm2
CD= 20mA/cm2
Your Current will be 200mA.
Current density will be 20mA/cm2.
RECTANGULAR PRISMS
also known as cuboids ....are all around us. A few of the examples are books, boxes, buildings, bricks, boards, doors, containers, cabinets, mobiles, and laptops.
:-)
Answer:
2.77 minutes
Step-by-step explanation:
The cheerleaders can preform for another 2.77 minutes which will end up reaching the maximum allowed time of 6 minutes.