Answer:
A) 12.1 , 12.01
B) infinitely large
Step-by-step explanation:
Give that the function f(x)=x2 describes the area of the square, f(x), in square inches, whose sides each measure x inches. If x is changing.
Using the formula
(f(a + h) - f(a))/h
as x changes from 6 inches to 6.1 inches
a = 6, h = 0.1
= [f(6.1) - f(6)]/0.1
= (6.1^2 - 6^2)/0.1
= (37.21 - 36)/0.1
= 1.21/0.1
= 12.1
and when x changes from 6 inches to 6.01 inches.
a = 6, And h = 0.01
Using the same formula
(f(a + h) - f(a))/h
= [f(6.01) - f(6)]/0.01
= (6.01^2 - 6^2)/0.01
= (36.120 - 36)/0.01
=0.1201/0.01
= 12.01
B) the instantaneous rate of change of the area with respect to x at the moment when x = 6 inches is infinitely large since h = 0
Answer:
There are now 6.5 ounces in the new bag.
Step-by-step explanation:
To solve this question, take 30% of 5 and add it to the original amount of 5
30% = 0.30
5 * 0.30 = 1.5
5 + 1.5 = 6.5 ounces of candy.
Hope this helps!
Answer:
0.833
Step-by-step explanation:
Answer:
84 arrangements
Step-by-step explanation:
First, we need to calculate the total number of roses that the shop owner has. We do this by adding the pink roses and the red roses that the owner has.
342 + 330 = 672 total roses
Now that we have the total number of roses we simply divide by the number of roses needed for each arrangement (8) in order to calculate the total number of arrangements that the owner can make.
672 / 8 = 84 arrangements
Answer:
x = 6
Step-by-step explanation:
