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.
Volumes for Solid of Revolution Before deriving the formula for it we must probably first describe just what a solid of revolution is. To find a solid of revolution we start o
what states and marketing tasks?
How many ways can 4 DVDs be arranged on a shelf? Solution: There are 4 ways to choose the first DVD, 3 ways to choose the second, 2 ways to choose the third and 1 way to choo
what are the concept of marketing?
for all real numbers x, x 0
how to write a thesis
Need two equal fractions multiply and divide 1/6 3/4 5/15 2/7 20/25 24/36 4/9
Illustration: Find the solution to the subsequent IVP. ty' + 2y = t 2 - t + 1, y(1) = ½ Solution : Initially divide via the t to find the differential equation in
State DeMorgan's law. Prove it using the truth table. Ans: DeMorgan's law defines that (i) (x ∨ y)' = x' ∧ y' (ii) (x ∧ y)' = x' ∨ y' Now let us dr
∫1/sin2x dx = ∫cosec2x dx = 1/2 log[cosec2x - cot2x] + c = 1/2 log[tan x] + c Detailed derivation of ∫cosec x dx = ∫cosec x(cosec x - cot x)/(cosec x - cot x) dx = ∫(cosec 2 x
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