Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter B, Problem 38E
To determine
To solve: The given equation.
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A 3+ cos(30)
B
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D
3 sin (30)
Solve by superposition method the following DE:
y^(4) - y = xe^(x) sen(2x), conditions: y(0) = y'(0) = y''(0) = y'''(0) =0
Chapter B Solutions
Finite Mathematics (11th Edition)
Ch. B - Write each exponential equation in logarithmic...Ch. B - Prob. 2ECh. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Prob. 6ECh. B - Prob. 7ECh. B - Prob. 8ECh. B - Prob. 9ECh. B - Write each logarithmic equatio in exponential...
Ch. B - Prob. 11ECh. B - Prob. 12ECh. B - Prob. 13ECh. B - Prob. 14ECh. B - Prob. 15ECh. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 18ECh. B - Prob. 19ECh. B - Evaluate each logarithm without using a...Ch. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Prob. 25ECh. B - Prob. 26ECh. B - Use the properties of logarithms to write each...Ch. B - Prob. 28ECh. B - Use the properties of logarithms to write each...Ch. B - Prob. 30ECh. B - Prob. 31ECh. B - Prob. 32ECh. B - Prob. 33ECh. B - Prob. 34ECh. B - Prob. 35ECh. B - Prob. 36ECh. B - Prob. 37ECh. B - Prob. 38ECh. B - Prob. 39ECh. B - Prob. 40E
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- Use the annulus method to find the solution of the DE: y''' + 8y = e^(3x) sen(3x) cos(3x)arrow_forwardTheorem 2.4 (The Hölder inequality) Let p+q=1. If E|X|P < ∞ and E|Y| < ∞, then . EXY SEXY ≤ Xp Yq.arrow_forward1 for all k, and set o (ii) Let X1, X2, that P(Xkb) = x > 0. Xn be independent random variables with mean 0, suppose = and Var Xk. Then, for 0x) ≤2 exp-tx+121 Στ k=1arrow_forward
- Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that E g(X) 0. Then, E g(|X|) P(|X|> x) ≤ g(x)arrow_forwardProof of this Theorem Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and set Var X = o². Then, for 0 0, P(X > x) ≤ e−1x+1²², P(|X|> x) ≤ 2e−x+1² 0²arrow_forwardState and prove the Morton's inequality Theorem 1.1 (Markov's inequality) Suppose that E|X|" 0, and let x > 0. Then, E|X|" P(|X|> x) ≤ x"arrow_forward
- (iii) If, in addition, X1, X2, ... Xn are identically distributed, then P(S|>x) ≤2 exp{-tx+nt²o}}.arrow_forwardCalculate the following limit lim N→X [en] + [en] + n + [en]arrow_forwardSolve the given symbolic initial value problem and sketch a graph of the solution. y"+y=38 (1-2); y(0) = 0, y'(0) = 2arrow_forward
- Solve the following system of equations: 50x+20y=1800 10x+3y=300arrow_forward5. State space models Consider the model T₁ = Tt−1 + €t S₁ = 0.8S-4+ Nt Y₁ = T₁ + S₁ + V₂ where (+) Y₁,..., Y. ~ WN(0,σ²), nt ~ WN(0,σ2), and (V) ~ WN(0,0). We observe data a. Write the model in the standard (matrix) form of a linear Gaussian state space model. b. Does lim+++∞ Var (St - St|n) exist? If so, what is its value? c. Does lim∞ Var(T₁ — Ît\n) exist? If so, what is its value?arrow_forward2 P(x,y). kx²y X: 1,2 5.11273 Find k Find P(x/y) ③ Mxy Ng q oxy วarrow_forward
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