27. g(x) = 2x² - x - 15 x - 3 1 kx - if x # 3 if x = 3

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A: Suppose A is the set go through vehicle And B is the set go through Bike.

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A: We will simply apply limit to prove the limits.

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Q: 3. 7x²-4x-3 lim 2+1 3x² - 4x + 1

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Q: 1. f¹(-4)= 2. f¹(-3) = 3. f¹(0) = 4. f-¹(2) = 5. f¹(4)=

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Q: 9.  Determine the convergence of the integral by comparison. If the integral converges, find the…

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Q: 11* In Figure 4.40 we have right triangle ABC inscribed in a circle with AC = 6, BC = 8 and AB = 10.…

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Q: Maximize subject to Z = X₁ +5x₂ + x3 + 8x4 X₁ + 4x₂ + x3 + x4 ≤60 X₂ + 5x3 + x4 ≤ 100 X1 x₁20, X₂…

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Q: 314 CHAPTER 10 SIGMA NOTATION (e) Write the sum of every 5th integer from a to a + 5k in sigma…

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Q: 7. Solve for the values of x₁, x₂ and x3 using Gauss elimination. 5x₁2x₂ + 3x3 = -1 -3x1 + 9x₂ + x3…

A: Since you have posted a multiple question according to guildlines I will solve first(Q7)   question…

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Q: Example 3: Determine the following limits. x+3x² 4x a) lim x-0 x² - 4x+4 x² - 4x b) lim- x→0 1-x² c)…

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Q: = { [ Subgroup Test. Let S = x y |x ER*, y ≤R Show that S is a subgroup of GL(2, R) using the 2-step

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Q: Evaluate the definite integral. 3 L²||4+ ti + ²2₁|| dt li

A: We have to integrate the given definite integral.

Q: Q1. Using double integral to determine the area of the region bounded by y = 2x² and y = 1 + x².

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Q: 4. Evaluate D = 16² + c² 6² c² a² c² + a² c² a² 6² a² + b² 2

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine the general solution of the given differential equation. y""+y"+y' + y = et + 6t y(t) = X

A: y(t) =C1 e-t +C2 cos(t) +C3 sin(t) -6+6t+(1/2) te-t

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