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:
57
Step-by-step explanation:
exterior angles add up to 360 so'
9x+1+5x+12+10x-37
24x-24=360
24x=384
x=16
10(16)-37
160-37
123
180-123
= 57
Answer:
cos-1(-4/14)
Step-by-step explanation:
If
4.5=r
3.5=s
2=t
By law of cosines:
A example can be Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. The answer would be Any more than 12 weeks and his account balance would be less than $200. Any number of weeks less than 12 and his account would stay above $200.
Answer:
D. 1 1/2 feet
Step-by-step explanation:
<u>Multiply the numbers to find the length of wire used.</u>
- 2 1/2 × 3/5 =
- 5/2 × 3/5 =
- 3/2 =
- 1 1/2 feet
Correct choice is D
