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
Cool! So OK I'll take you through it.
You just need to take everything 1 step at a time, as you might already know.
First
3 to the second is 9
Second
The first part included like this 9*(3 to the third) which is 243
Third
The second part is included into the question like 243*(3 to the fourth) which is 243*81
Fourth
243*81 = 19,683
Your Answer
(3^2)*(3^3)*3^4) = 19,693
Hope That Helps and Correct Me If I'm Wrong!
U times any number by 3 and see witch ones the closest
27x3=81 that's what I think and that's the closest
No it is NOT possible - that would mean the final angle would also have to be ninety degrees making it a square or rectangle. :)
