Answer:
Lim (f(9+h)-f(9))/h as h->0 = 2916
Step-by-step explanation:
f(x)=x⁴
f'(x)
= Lim (f(9+h)-f(9))/h as h->0
= 4x³
At x = 9, f'(x) = f'(9) = 4*9³ =4*729 = 2916
Answer:
Proved
Step-by-step explanation:
Given
Required
Prove by induction
Increment n by 1 on both sides
Simplify the right hand side
Group the left hand side
Recall that
----[Given]
So; Substitute for on the left hand side
Open All Brackets
Collect Like Terms
<em>Notice that the expression on both sides are equal;</em>
<em>Hence, the given expression has been proven</em>
Answers: 3pi/2, pi/2, pi/6, 5pi/6
Answer:
The window should be positioned 4 1/8 feet far from each edge of the wall.
Step-by-step explanation:
Since a construction crew is placing a square in a wall for a new window, which is 3 1/8 feet wide, while the wall has a length of 11 3/8 feet, and the crew wants to position the window at the center of the wall, to determine how far from each edge of the wall should the window be positioned, the following calculation must be performed:
1/8 = 0.125
3/8 = 0.375
(11,375 - 3,125) / 2 = X
8.25 / 2 = X
4.125 = X
Therefore, the window should be positioned 4 1/8 feet far from each edge of the wall.