Suppose you planned on giving 9 gold stars to some of the 12 star students in your class. Each student can receive at most one star. How many ways can you do this? a. Use Pascal's triangle to find the numeric answer. a. Use the Principle of Inclusion and Exclusion.

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Q: ) Solve by using Laplace transform the partial differential equation 8²y 2², =9. dt² Ox² y(0,t) = 0,…

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A: Solution:-

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Q: 2. x² + y² + 6x + 8y = -9

A: Follow the steps.

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Q: Graph the following Equations: x+3 5. y²: 2x²+3x+2 6. r = sin + 2cos²0 7. r² = sin 20-3cos

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Q: (2-x,0<x<2 f(x) = {²0₁2<x<4 Periode = 4

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Q: Comolex unmber analysis Solve the following complex numbers 1.)  sinh[ln(8 + j0)] + cosh(8ej0.785)

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Q: Q1. Locate and classify the singular points of the following functions: A: f(z) = cotz. B: f(z) =…

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Q: Is hypercube graph Q4 planar? If not can you provide any bounds on it crossing number?

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Q: 3.11 Definition A square matrix is nonsingular if it is the matrix of coefficients of a homogeneous…

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Q: ) Solve by using Laplace transform the partial differential equation 8²y dt² =9. 90²y y(0,t) = 0,…

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Q: So whats the final answer, whats the final unknown value?

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Q: 2Fs1 ² f (x, y) dx² proof. (H-w-) 2 ./ = P√= f (gy) - P²Fs (Psy) ар(х,у) 0 as x If f (x,y) → 2

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Q: @ F₁ / 2^ € (²4) 1 = 2²² (8) Fs f (x, y) d"Fs dyn dyn proof (Hw-)

A: Introduction: A Fourier remodel (FT) is a mathematical remodel that decomposes features relying on…