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A student is allowed to select at most n-blocks from a collection of (2n + 1) books. If the total number of ways in which he can select a book is 63, find the value of n.Solution) Σ2n+1Cr,(from r=1 to r=n)=(22n+1/2)-1=22n-1=63,n=3.
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Consider the function f(x) = x + 1/x 2 + 2x - 3. (a) Find f(2) and f(-2). (b) Find the domain of f(x). (c) Does the range include 1? Show your working. (d) Find and si
Mathematics Is All Around Us : What is the first thing you do when you get up? Make yourself a nice cup of tea or coffee? If so, then you're using mathematics! Do you agree? Cons
Thus, just why do we care regarding direction fields? Two nice pieces of information are there which can be readily determined from the direction field for a differential equation.
Any 15 foot ladder is resting against the wall. The bottom is at first 10 feet away from the wall & is being pushed in the direction of the wall at a rate of 1 ft/sec. How rapid is
greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t,s)= {1-s for t or equal to s
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Give some children around you a task in mathematics. The task should be in an area in which they' have not been given a large dose of algorithms and strategies. Do all of them foll
128sinpower8=cos8-8cos6+28cos4-56cos2+35
Derive for the filter from z=a and poles at z=b andz=c, where a, b, c are the real constants the corresponding difference equation. For what values of parameters a, b, and c the fi
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