find the riemann sum f(x)=x^2 +3x over the interval [0,8] where x0 =o, x1=1 , x2=6,...

find the riemann sum f(x)=x^2 +3x over the interval [0,8] where x₀ =o, x₁=1 , x₂=6, x₄=8, and c₁=1, c₂=2, c₃=4, c₄=6

Expert Solution

milcah answered 2 years ago

(a) Find the Riemann sum for f(x) = 4 sin(x), 0 ≤ x ≤ 3π/2, with...

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Let f(x) = sin(πx). • x0 = 1,x1 = 1.25, and x2 = 1.6 are given....

Let f(x) = sin(πx). • x0 = 1,x1 = 1.25, and x2 = 1.6 are given. Construct Newton’s DividedDiﬀerence polynomial of degree at most two. • x0 = 1,x1 = 1.25,x2 = 1.6 and x3 = 2 are given. Construct Newton’s Divided-Diﬀerence polynomial of degree at most three.

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f(x) = −x2 + 3x and g(x) = x − 3 Find the area of the...

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Find the probability P(0<X1<1/3 , 0<X2<1/3) where X1, X2 have the joint pdf f(x1, x2)...

Find the probability P(0<X1<1/3 , 0<X2<1/3) where X1, X2 have the joint pdf f(x1, x2) = 4x1(1-x2) , 0<x1<1 0<x2<1 0, otherwise (ii) For the same joint pdf, calculate E(X1X2) and E(X1 + X2) (iii) Calculate Var(X1X2)

Let X1 and X2 have the joint pdf f(x1,x2) = 2 0<x1<x2<1; 0. elsewhere (a) Find the...

Let X1 and X2 have the joint pdf f(x1,x2) = 2 0<x1<x2<1; 0. elsewhere (a) Find the conditional densities (pdf) of X1|X2 = x2 and X2|X1 = x1. (b) Find the conditional expectation and variance of X1|X2 = x2 and X2|X1 = x1. (c) Compare the probabilities P(0 < X1 < 1/2|X2 = 3/4) and P(0 < X1 < 1/2). (d) Suppose that Y = E(X2|X1). Verify that E(Y ) = E(X2), and that var(Y ) ≤ var(X2).

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