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f Y is a discrete random variable with expected value E[Y ] = µ and if X = a + bY , prove that Var (X) = b2Var (Y ) .
Arc length Formula L = ∫ ds Where ds √ (1+ (dy/dx) 2 ) dx if y = f(x), a x b ds √ (1+ (dx/dy) 2 ) dy
Find out the x-intercepts & y-intercepts for each of the following equations. y =x 2 +x - 6 Solution As verification for each of these we wil
1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti
Submit solutions for all of the following questions. Remember to set out your answers showing all steps completely and explicitly justify your steps. 1. Provide, in no more than
examples of construction of excircles
answers to page
ABCD is a parallelogram in the given figure, AB is divided at P and CD and Q so that AP:PB=3:2 and CQ:QD=4:1. If PQ meets AC at R, prove that AR= 3/7 AC. Ans: ΔAPR ∼ Δ
x ?8x ?16x ? 0, x?0? ? 0, x?0? ? 2
A 3 km pipe starts from point A end at point B Population = 3000 people Q = 300 L/day/person Roughness = cast ion pipe Length of the pipe = 3km Case 1 From A to B
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