Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Intermediate Value Theorem
Suppose that f(x) is continuous on [a, b] and allow M be any number among f(a) and f(b). There then exists a number c such that,
1. a < c < b
2. f (c ) = M
All of the Intermediate Value Theorem is actually saying is that a continuous function will take on all values among f(a) & f(b). Below is a graph of continuous function which illustrates the Intermediate Value Theorem.
As we can illustrates from this image if we pick up any value, M, that is among the value of f(a) and the value of f(b) and draw line straight out from this point the line will hit the graph in at least at one point. In other terms somewhere between a & b the function will take on the value of M. Also, as the figure illustrates the function might take on the value at more than one place.
It's also significant to note that the Intermediate Value Theorem only says that the function will take on the value of M somewhere among a & b. It doesn't say just what that value will be. It just says that it exists.
hence, the Intermediate Value Theorem tells us that a function will take the value of M somewhere among a & b but it doesn't tell us where it will take the value nor does it tell us how several times it will take the value. There is significant idea to remember regarding the Intermediate Value Theorem.
A fine use of the Intermediate Value Theorem is to prove the existence of roots of equations as the given example shows.
Question: A point in 3D is first rotated anticlockwise by 45 degrees about x axis,then translated along y axis by 2 units.Find the final position of the point if its initial po
Set M= {m''s/m is a number from 5 to 10}
adison earned $25 mowing her neighbor''s lawn. then she loaned her friend $18, and got $50 from her grandmother for her birthday. she now has $86. how much money did adison have to
Level Curves or Contour Curves Another topic that we should look at is that of level curves or also known as contour curves. The level curves of the function z = f (x, y) are t
Example of Regression Equation An investment company advertised the sale of pieces of land at different prices. The given table shows the pieces of land their costs and acreag
Determine the coordinates of the point equidistant from Salt Lake City and Helena
i find paper that has sam my homework which i need it, in you website , is that mean you have already the solution of that ?
alternate segment theorum
1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even. 2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2. 3.let r>0 an
Julie had $500. She spent 20% of it on clothes and then 25% of the remaining money on CDs. How much money did Julie spend? Find out 20% of $500 by multiplying $500 by the decim
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd