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!
a. Prove: if 0 ≤ x ≤ 10, then 0 ≤ √(x+ 1) ≤ 10.
b. Prove: if 0 ≤ μ ≤ ν ≤ 10, then 0 ≤ √(μ + 1) ≤ √(ν + 1) ≤ 10.
c. Consider the following recursively defined sequence:
a1 = 0.3; an+1 = √(an + 1) for n > 1.
and compute its first five terms. Prove that this sequence converges. You should mention specific THEOREM which, together with the algebraic results of parts a) and b). will guarantee convergence.
d. What is the exact limit of the sequence defined in c)? (Square the recursive equation and take limits using some limit theorems.)
Note Many sequences encountered in "real life" are recursively defined, and the method in d) is often used. On many calculators, you can define the function √(x + 1) and then use the key repeatedly to calculate many terms of the sequence easily.
A closed box with a square base has to have a volume of 19,000 cubic inches. Find a function for the surface area of the box.
Use a(t) = -32 feet per second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 56 feet per second. For how many seconds will the ball be going upward?
Problem 1: What does it mean for linear momentum to be conserved in a closed system?
Conditions for Linear transformation. This chapter starts as follows rotations about the origin and all reflections in lines through the origin can be expressed as functions with rules of the form
A metal storage tank with a mximum volume of 500 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
A 25.5 foot ladder rests against the side of a house at a point 24.1 feet above the ground. The foot of the ladder is x feet from the house. Find the value of x to one decimal place.
The natural length of a spring is 10 cm. A force of 25 N stretches it to a length of 20cm. How much work, in units of N-cm, is done in stretching it from a length of 10cm to a length of 15cm?
four identical particles each have charge q and mass m. they are released from rest at the vertices of a square of side
Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probabilities of the following results.
1. why does a mortgage lender sometimes sell a mortgage? how is this beneficial? how is it bad? explain your
In a state of 10 million people, 25% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats.
The length of a rectangle is 5m more than twice its width, and the area of the rectangle is 42m^2 . Find the dimensions of the rectangle.
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: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd