The instantaneous rate of change is simply equivalent to
the first derivative of the equation or function. We are given the equation of
Surface Area (A) with respect to side (x):
A = 6 x^2
Taking the first derivative of the equation:
dA = 12 x dx
dA / dx = 12 x
Now the term dA / dx is the instantaneous rate of change
in the surface area with respect to the side length. To get the rate of change
when the side x = a, simply plug this in into the equation:
rate of change = dA / dx = 12 x
so when x = a:
<span>rate of change = 12 a</span>
Answer:
Step-by-step explanation:
i think it is 2175
Answer:
The number of calories is going to be pretty close to proportional to the area of the pizza. Figure out the area of a 6-ince pizza, and then figure out the area of a 14-inch pizza. Then you're going to get a proportion:
(Area of 14 inch pizza) is to (Area of 6 inch pizza) as (Number of calories in 14 inch pizza) is to (Number of calories in 6 inch pizza.
You know the areas of both sizes and the number of calories in the 6 inch pizza, so you should be able to find the number of calories in the 14 inch pizza.
Then divide by 8 to get the number of calories in each slice.
