Answer:
Step-by-step explanation:
2/5 + x = 1
Multiply each term by 5
2 + 5x = 5
5x = 5 - 2
5x = 3
x = 3/5
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:
15. -2 16. 0 17. undefined
Step-by-step explanation:
Slope of two points can be calculated by (y change) / (x change).
(y1 - y2) / (x1 - x2)
15) (1-5) / (4-2) = -2
16) (6-6) / (1-10) = 0 since y change is 0.
17) (-5-3) / (4-4) = undefined since x change is 0 but you cannot devide by 0.
Answer:
cubic units.
Step-by-step explanation:
You can use this formula for calculate the volume of a cone:

Where "r" is the radius and "h" is the height.
You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is:

