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Consider the wave equation utt - uxx = 0 with u(x, 0) = f(x) = 1 if-1 ut(x, 0) = ?(x) =1 if-1 Sketch snapshots of the solution u(x, t) at t = 0, 1, 2 with justification (Hint: Sket
Two tangents PA and PB are drawn to the circle with center O, such that ∠APB=120 o . Prove that OP=2AP. Ans: Given : - ∠APB = 120o Construction : -Join OP To prove : -
Arc Length with Parametric Equations In the earlier sections we have looked at a couple of Calculus I topics in terms of parametric equations. We now require to look at a para
Calculate the Kendaul''s correlation cofficient for a given data.
a pizza driver delivered 27 pizzas in one night he delivered more then one pizza to only one house . every other house he only delivered pizza to 18 houses . how many pizzas did he
A 125-foot tower is located on the side of a mountain that is inclined at 32° to the horizontal. A guy wire is to be fitted to the top of the tower and anchored at a point 55 feet
Draw the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Solution: y′ = y - x To draw direct
Product Rule: (f g)′ = f ′ g + f g′ As with above the Power Rule, so the Product Rule can be proved either through using the definition of the derivative or this can be proved
How Does The Algorithm Work? Most of us, when asked to multiply, say, 35 by 23, write Why do we place the mark x (or 0, or leave a blank) in the second row of the calcul
Method In this method we eliminate either x or y, get the value of other variable and then substitute that value in either of the original equations to
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