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1.Verify Liouville''s formula for y "-y" - y'' + y = 0 in (0, 1) ? 2.Find the normalized differential equation which has {x, xex} as its fundamental set. 3.6Find the general soluti
If the distances from origin of the centres of 3 circles x 2 +y 2 +2alphaix= a 2 (i=1,2,3) are in G.P. , then length of the tangents drawn to them frm any point on the circles x2+
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Arc Length with Vector Functions In this part we will recast an old formula into terms of vector functions. We wish to find out the length of a vector function, r → (t) =
If three times the larger of the two numbers is divided by the smaller, then the quotient is 4 and remainder is 5. If 6 times the smaller is divided by the larger, the quotient is
Maclaurin Series Before working any illustrations of Taylor Series the first requirement is to address the assumption that a Taylor Series will in fact exist for a specifi
7 is what percent of 105?.
Minima, Maxima and points of inflexion a) Test for relative maximum Consider the given function of x whose graph is presented by the figure given below
Let {An} be sequence of real numbers. Define a set S by: S={i ? N : for all j > i, ai
Find out the area of the region bounded by y = 2 x 2 + 10 and y = 4 x + 16 . Solution In this case the intersection points (that we'll required eventually) are not going t
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