Answer:
The value of c = -0.5∈ (-1,0)
Step-by-step explanation:
<u>Step(i)</u>:-
Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]
<u> Mean Value theorem</u>
Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

<u>Step(ii):</u>-
Given f(x) = 4x² +4x -3 …(i)
Differentiating equation (i) with respective to 'x'
f¹(x) = 4(2x) +4(1) = 8x+4
<u>Step(iii)</u>:-
By using mean value theorem


8c+4 = -3-(-3)
8c+4 = 0
8c = -4

c ∈ (-1,0)
<u>Conclusion</u>:-
The value of c = -0.5∈ (-1,0)
<u></u>
Answer:
1. MOM can be cut in half vertically in the middle of the O.
2. HIKED can be cut in half horizontally cutting right down the middle.
3. CHECK can also be cut in half horizontally just like No. 2.
4.
M
A
T
H
can be cut in half vertically right down the middle starting at the top of M.
5. CHECKBOOK can be cut in half horizontally cutting right down the middle.
Answer:
385.6
Step-by-step explanation:
The wage times the hours worked find the total she makes.
Answer:
18 stars
Step-by-step explanation:
We can use a ratio to solve
9 stars x
--------- = -----------
2 hearts 4 hearts
Using cross products
9*4 = 2x
36 = 2x
Divide by 2
36/2 =2x/2
18 =x
18 stars
let the number of sides be n.
Thus,
(n-2)x180=330
n-2=1.83
n=3.83
Rounding off we have, n=4.
Thus the total number of side is 4.