Question: Theorem 4.4: Rolle's Theorem:(Line 1) Let f be a continuous function over the closed interval [a,b](Line 2) and differentiable over the open interval (a,b)(Line 3)
Theorem 4.4: Rolle's Theorem:(Line 1) Let f be a continuous function over the closed interval [a,b](Line 2) and differentiable over the open interval (a,b)(Line 3) such that f(a)=f(b).(Line 4) Then there exists at least one c in (a,b)(Line 5) such that f(c)=0.Which lines are the hypothesis of Rolle's Theorem? [ Select ]["Line 3", "Line 5", "Lines 1 and 2", "Line 1", "Lines 1,2 and 3"]Note: 'Hypothesis' is sometimes also called 'criteria' or 'conditions'.Which lines are the conclusion of Rolle's Theorem? [ Select ]["Lines 4 and 5", "Line 4", "Lines 3,4 and 5", "Line 5", "Lines 2 and 3"]Theorem 4.5: The Mean Value Theorem:(Line 1) Let f be continuous over the closed interval [a,b](Line 2) and differentiable over the open interval (a,b)(Line 3) Then there exists at least one point c in (a,b)
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
