#title.polynomials, Mathematics

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Seqence and seies, If the M-th term of an Ap is n andn-th term M.find the p...

If the M-th term of an Ap is n andn-th term M.find the p-th term

Prove that x2 + y2 - 8x - 10y +39 = 0, If the points (5, 4) and (x, y) are ...

If the points (5, 4) and (x, y) are equidistant from the point (4, 5), prove that x 2 + y 2 - 8x - 10y +39 = 0. Ans :   AP = PB AP 2 = PB 2 (5 - 4) 2 + (4 - 5) 2 = (x

Probability, The probability that a leap year will have 53 sunday is ? and ...

The probability that a leap year will have 53 sunday is ? and how please explain it ? (a)1/7    (b) 2/7    (c) 5/7    (d)6/7 Sol) A leap year has 366 days, therefore 52 weeks i.e

Example of complex roots, Solve the subsequent IVP. y'' - 4y' + 9y = 0, ...

Solve the subsequent IVP. y'' - 4y' + 9y = 0, y(0) = 0, y'(0) = -8 Solution The characteristic equation for such differential equation is. As:  r 2 - 4r + 9 = 0

Mode, What is the median for this problem (55+75+85+100+100)

What is the median for this problem (55+75+85+100+100)

Functions of limits, Following is some more common functions that are "nice...

Following is some more common functions that are "nice enough". Polynomials are nice enough for all x's. If f ( x) = p ( x ) /q (x ) then f(x) will be nice enough provid

Cycloid - parametric equations and polar coordinates, Cycloid The param...

Cycloid The parametric curve that is without the limits is known as a cycloid.  In its general form the cycloid is, X = r (θ - sin θ) Y = r (1- cos θ)  The cycloid pre

Particular to general-how mathematical ideas grow, Particular to General : ...

Particular to General :  When I say 'tail', what do you think of? Do you think of the tail of a horse, or of a monkey? Or do you think of the tail of your pet dog? The tail of

Surface area with polar coordinates, Surface Area with Polar Coordinates ...

Surface Area with Polar Coordinates We will be searching for at surface area in polar coordinates in this part.  Note though that all we're going to do is illustrate the formu

Trigonometry, Prove: cotA/2.cotB/2.cotC/2 = cotA/2+cotB/2+cotC/2

Prove: cotA/2.cotB/2.cotC/2 = cotA/2+cotB/2+cotC/2

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