1 is corresponding
2 is alternate interior
3 is alternate interior
4 is alternate exterior
5 is adjacent
Hope this helps.
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.
Answer:
Step-by-step explanation:
Answer:
<h3>=> —6x = 12</h3><h3>=> —x = 12/6</h3><h3>=> —x = 2</h3>
<h2>=> x = —2</h2>
Step-by-step explanation:
hope it's helpful :-)
Answer:
Step-by-step explanation:
Let be 
, the range of the function corresponds to the set of values of 
. The sine function is a bounded function between -1 and 1. Hence, the range of the function is:
