SOLVE STEP BY STEP IN DIGITAL FORMAT, Apply the principle of inclusion-exclusion Find the number of integer solutions of the equation X₁ + X₂ + x3 + such that X₁ ≤ 5, x₂ ≥ 1, x3 ≤ 4 y x4 ≤ 3 ... + X12 = 100,

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A: Step 1:To evaluate the limit, we can use trigonometric identities and L'Hôpital's Rule. Let's start…

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A: f(x) = 2x4+5x3-5x2-5x+3 Step 1: Use the rational root theorem to find possible factors.The rational…

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A: The given system of equations is  x2+y2=25y2=5-x Solve the equations using the substitution method.

A: x2+2x+5≤0

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A: Lagranges Multiplier method is used

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A: According to the guideline we should have been able to solve only first question at a time  #10

A: Step 1: Given that, find the value of x by resolving the given equation: 3x+2x=40 Step 2: Combine…