H.W For any events A and B, show that 1. P(AB)s P(A)≤ P(AUB)≤ P(A) + P(B)
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A: f(x)=x2+7x+12x2+5x+6=(x+3)(x+4)(x+2)(x+3)=x+4x+2, given x=−3g(x)=x+4x+2 Domain of f(x) is…
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A: To factor the quadratic expression 36x2−48x+16, we will follow a systematic process. ### Step 1:…
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Q: Consider the constrained optimization problem min (x²+(y)²) x,y subject to x²+4y² = 4 X ≥ 0. (a)…
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Q: 6. Determine the Eigenvalues and Eigenvectors The matrix problem is located on page 22 of the file.…
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Q: Refer to page 310 for a matrix and its associated system of differential equations. Instructions: •…
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Q: Consider the following matrices: A 31% 4 = [41 ¯¯ 10], b = [7 2 3 C=-37 4 D = 1 4 1. -2 -(9 0 7…
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Q: 5. Solve the Linear Inequality Go to page 31 of the document for the inequality problem. Solve the…
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Q: [a, at]=[b, b]= 1, [a, b] = [a, b]=[a, b] = [a, b]=0 ata = (a+ax +ața, +iața, — iata,), - b+b= (a+ax…
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Q: Refer to page 17 for a problem requiring solving a nonlinear algebraic equation using the bisection…
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Q: Exercise. Suppose that (X, p) is a metric space. ر فائيل Prove that the intersection of any…
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Q: a. AB b. 3A If A2x2, B2x2, where det(A) = 3, det(B) = -2 find determinant of c. A² d. AB (A times…
A: Given,det(A)=∣A∣=3det(B)=∣B∣=−2 a.According to the properties of determinant,∣AB∣=∣A∣ ∣B∣ So,…
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Q: 0 -1 7 by using cofactor expansion across the second row. -2 0 -1 5409 -014h 1230 (b) Compute the…
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Q: Refer to page 14 for calculating eigenvalues and eigenvectors of a matrix. Instructions: • Compute…
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Q: The exact differential equation problem is discussed on page 62. Verify the exactness of the given…
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Q: 10. Simplify the Exponential Expression The problem is located on page 36 of the document. Use the…
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Q: 13.4. Let f(z) =y-x-3ir² and y be given by the line segment z = 0 to z 1+i. Evaluate. L f(z)dz.
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