If |Z| ≤ 1 and w) ≤ 1, then show that |zw|2s (1z|-|w|)² + (arg z - arg w)²2.

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Q: Example 1: Determine the maximum or minimum of the equation y=-4x² +24x - 35

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Q: 4. T³4x²+x-6 3 sin(-x)+3x² f(x)= Let f be the function defined above. Which of the following…

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Q: Q 21 Choose the 5 when using the New tan-Raphson Me the The equestion cas (azot this is dan (ax)=x

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Q: 5. Check whether following is homogenous differential equation, (x-2y)dx+xdy=0 and also solve it.

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Q: Please answer and write correctly and neatly. Given the vector field Ā= 2x2y ax – 2(z-x) ay + 3xyz…

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Q: In 2000, mobile handset sales totaled $414.99 million. In 2005, the total was $778.75 million. Let M…

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Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              =&gt; k(15 - 13) = 2k for any integer k              =&gt; 15 k -…

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Q: Solve for Inverse Laplace s+ 2 F(s)=- s² (s²+1) 5² +3

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Q: Q5/ Maximize f(x₁, x₂) = x₁ + x2 by use of simplex method and it subject to: X₁ + 2x₂ ≤ 10 2x₁ + x₂…

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Q: triangles a.) (2, 1), (3, 5), (-2,-4) answer: b.) (-3,-1), (3,5), (2,6) c.) (6,2), (1,5), (4,4) -…

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A: Given That : x1'=3x1-4x2x2'=4x1+3x2 To Find : The general solution of the given system and also…

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Q: ا = (porve ere(o if : erf=3√² =²². st

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Q: DE 1. (-x)y-4xy +5y = cosx 2. d²u d'u 2x² at³ 3. d³x 12 des -2 d²x +(4t-1). + sin t dt² 4. √1+ (v)³…

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Q: Let x, y € R. Given that the vectors (xi - y, y + x, -yi) and (1 + ix, 0, x - -y) have unit…

A: let x,y∈ℝ , given that the vectors xi-y , y+x , -yi and 1+ix , 0 , x-y have unit magnitude , then…

Q: 2. Find the DE of all circles with center on thex - axis.

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Q: = Let a, b, and d be positive integers. Prove that if (a, b) : divides a, then (d, b) = 1.

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Q: 5. Use Euler's method to compute an approximation X(0.65) to the solution x(0.65) of the initial…

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Q: Exercise 3. 1) Show that the discrete topology on a set X is always metriz- able. Give a metric…

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Q: ای )porve ereco if : er f = ²/ Set ². st

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Q: Prove that n!+1 and (n+1)!+1 integer n. relatively prime for every positive

A: Given, n!+1 and n+1!+1are two numbers and to prove that they are relatively prime.

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Q: If G C P(S) has the finite intersection property, then there is a filter F on S such that G C F.

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Q: Find a quadratic equation whose product of roots x, and x₂ is X₁ X₂ equal to 4 and satisfying the…

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Q: Every nonempty class C has an E-minimal element.

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Q: Find the value of a for which one root of the quadratic equation (a² − 5a +3)x² + (3a-1)x+2=0 is…

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Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…

A: The given equations are x1'=9x1+5x2 , x2'=-6x1-2x2. To Find: Corresponding eigenvalues and…

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