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 constant term in the equation is -20 because you will always be subtracting 20 no matter how big x is
Answer:
21+j=55
Step-by-step explanation:
It says sum, which means to add(+). So you add 21 and j (21+j) and that equals 55 (=55). Then you add all the pieces together and you get 21+j=55
Answer:Length if tank=12m
Step-by-step explanation:
Dimension of tank is 12m by 8m by 5m
Which is length × breadth × heigh
