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.
Here we need to see the inverse of a matrix. Provided a square matrix, A, of size n x n if we can get the other matrix of similar size, B that, AB = BA = I n after that we call
HOW DO CHILDREN LEARN? : Have you ever tried teaching a young child what "ball" means? Did you do it by a lot of verbal description" Or did you let the child actually handle a b
What is 19% of 26? To ?nd out 19% of 26, multiply 26 through the decimal equivalent of 19% (0.19); 26 × 0.19 = 4.94.
What was the US's policy towards Latin America during the 20th century? What were the motives behind this policy? Give one example of the US executing this policy?
A Pythagorean triple is a set of positive integers (a,b,c) like a2 + b2 = c2. Write a function "ispythag" that will receive 3 positive integers (a, b, c in that order) and will r
A speaks truth in 80% of the cases and B speaks truth in 60% of the cases. Find out the probability of the cases of which they are possible to contradict each other in stating sim
A cable is attached to a pole 24 ft above ground and fastened to a stake 10 ft from the base of the pole. In sequence to remain the pole perpendicular to the ground, how long is th
in one point of the circle only one tangent can be drawn. prove
what is principle of marketing?
Importance of positioning
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