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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.
Note on point of tangent
Kevin ran 6.8 miles yesterday and 10.4 miles presently. How many more miles did he run today? To ?nd out how many more miles he ran today, subtract yesterday's miles from today
Extended product rule : As a last topic let's note that the product rule can be extended to more than two functions, for instance. ( f g h )′ = f ′ gh + f g ′ h+ f g h′ ( f
integral 0 to 4 integral 0 to y root of 9+ysquredxdy
how can we prove that an absolute convergent series is convergent but the converse is not true.
the limit of f(x) as x approaches 5 is equal to 7. write the definition of limit as it applies to f at this point
suppose you a business owner and selling cloth. the following represents the number of items sold and the cost for each item. use matrix operation to determine the total revenue ov
Determine the Measurements of Segments and Angles Postulate 1.5 (The Distance Postulate) There is a unique positive number corresponding to every pair of points. Pos
Given the vectors u = 3 i - 2 j + k , v = i + 2 j - 4 k , w = -2 i + 4 j - 5 k use vector methods to answer the following: (a) Prove u , v and w can form
1+1=?
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