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If the ratios of the polynomial ax 3 +3bx 2 +3cx+d are in AP, Prove that 2b 3 -3abc+a 2 d=0 Ans: Let p(x) = ax 3 + 3bx 2 + 3cx + d and α , β , r are their three Z
Ionic solids, which have anionic vacancies because of metal excess defect develop colour. Illustrate with the help of a suitable example.
Example: Find a general solution to the subsequent differential equation. 2 y′′ + 18 y + 6 tan (3t) Solution First, as the formula for variation of parameters needs coe
A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball , determine the number of blue balls in the bag.
Average Function Value The first application of integrals which we'll see is the average value of a function. The given fact tells us how to calculate this. Average Functi
how to find the minimum distance between any two particles which are in relative motion?
what is the circumference of a circle that is 11 in.
Give the introduction about Graphing? Somebody tells you that x = 5 and y = 3. "What does it all mean?!" you shout. Well here's a picture: This picture is what's call
three times the first of the three consecutive odd integers is 3 more than twice the third integer. find the third integer.
If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =
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