Approximation , Errors & Basics of Mean value theorems.

Cauchys mean value theorem

Rate Measure And Mean Value Theorems

Illustration Based Upon Mean Value Theorems

Illustration Based Upon Mean Value Theorems

There are 25425 people in a town. This is approximated to the nearest thousands. Calculate the relative error (approximately).

If f(x)=x^(3)+7x-1, then f(x) has a zero between x=0 and x=1. The theorem that best describes this is mean value theorem maximum-minimum value theorem intermediate value theorem none of these

There are certain number of students in a class. This is approximated to nearest hundreds. Approximate value is 600 and the absolute error is 25. If exact value is less than the approximated value, then fond the relative error. (Correct to two decimal places).

Number OF Critical point || Local maxima/minima || Mean value Theorem: Rolle's Theorem

Find the which function does not obey mean value theorem in [0, 1]

Verify the conditions of Mean Value Theorem in the following. In each case, find a point in the interval as stated by the Mean Value Theorem : f(x)=x" on "[a,b]