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>
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.
Answer:
28 cm
Step-by-step explanation:
The formula for the area of a triangle is 1/2bh
Here we have 1/2 (14)(4)
That comes to 28 cm
7 tenths, 7/10. or 70 percent.
Answer:
5 + (-3/2√2) = irrational number
5 - (-3/2√2) = irrational number since we have √2
Step by step explanation
Here the given two numbers are 5 and -3/√8.
Here we can rewrite √8 = √2√4
Which is 2√2.
So √8 = 2√2, where √2 is an irrational number.
-3/√8 = -3 / 2√2 = =3/ 2√2 is an irrational number.
When you add, subtract, multiply and divide a whole number (5) with an irrational number (-3/2√2) is always an irrational number.
Therefore, when you do the operations with 5 and -2/2√2 always result in irrational number.
Hope you will understand the concept.
Thank you.
