Answer:
To satisfy the hypotheses of the Mean Value Theorem a function must be continuous in the closed interval and differentiable in the open interval.
Step-by-step explanation:
As f(x)=2x3−3x+1 is a polynomial, it is continuous and has continuous derivatives of all orders for all real x, so it certainly satisfies the hypotheses of the theorem.
To find the value of c, calculate the derivative of f(x) and state the equality of the Mean Value Theorem:
dfdx=4x−3
f(b)−f(a)b−a=f'(c)
f(x)x=0=1
f(x)x=2=3
Hence:
3−12=4c−3
and c=1.
The line of the equation would be y = -1/4x + 11/16.
In order to find that, we'll put the ordered pair and the slope into slope intercept form. Then we can solve for the intercept.
y = mx + b
1 = -1/4(-5/4) + b
1 = 5/16 + b
11/16 = b
So then we put that in the equation with slope for the final equation.
-5a^2 - 7a = -a x (5a + 7)
let me know if you have any other questions
:)
Equation- 8x(12+7-9)-(4+10)
Answer- 80x−14
Answer:
no solution
Step-by-step explanation:
if u plug a random number like 1 for example 1+3/4=1 3/4 and 1+5/6=1 5/6
1 3/4 =1 5/6-this is NOT equal
so no solution
hopefully that helps! please let me know if i did anything wrong thanks!
