Find the lateral limits of the functions a) y = ln(x² + 1), when x → 0 b) x-4 x² + 4' when x → 4

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Q: (b) Consider the finite set A = equivalence classes that S partitions the set A into. {1,2,3,,,,,).…

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Q: 2.(3.4) Find the local extrema of the following function subject to the constraint 3x²+2y² = 1. (1)…

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Q: Test6

A: solution of the given question is like as:we use the legendry symbol and its property and quadratic…

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Q: (10) Using u(x,t) = (A(p) cos pr + B(p) sin pre-p² dp obtain the integral form solution of Ət² = ,…

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Q: Please don't provide handwritten solution ...

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Q: Solve the following (initial)-boundary value problem, Check your answers by substituting. Ex- plain…

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Q: Part 1

A: Given:V1 = (-2 , 1), V2 = (6 , 3)T(V1) = (-4 , 2), T(V2) = (-6 , -4)Step 1: Solve for V1…

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Q: Can you please help me out with question 17?

A: \[ \int_C f(z) \, dz = \int_a^b f(z(t)) \cdot z'(t) \, dt \] Given that \( C \) is the contour in…

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A: Recall the following forms of a linear function: The point-slope form:y−y1​=m(x−x1​)Where (x1, y1)…

Q: Solve the initial value problem y' + y² = 0, y(0) = 1

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Q: Could you please help me solve this question? I’m not sure how to.

A: Step 1: Step 2: Step 3: Step 4:

Q: The function f(x) is defined by f(x) = 0 1- |×| for |x|≤ 2 for |x| > 2. Calculate the form of f'(x)…

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Q: Solve the given initial value problem. 3 4 6 x'(t)= x(t), x(0)= 4 3 4 x(t)=

A: The general solution is x(t)=c1​e7t(11​)+c2​e−t(−11​).At t=0,…

Q: solve y" = 1 + (y')²

A: Step 1:Step 2: Step 3: Step 4:

Q: Question 2: The function y(t) satisfies the ordinary differential equation dy dt = f(t, y) for t> 0.…

A: Step 1: Integrate the ODE using the trapezium ruleIntegrating the ODE dy/dx = f(t, y) over [tn,…

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Q: Question b) how many first place votes are needed for a majority?

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Q: help me with part b please

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Q: Also i need figure

A: Step 1:Intersection Points:Set equations equal: −2cos⁡θ=1−cos⁡θSolve for θ we get: There are two…

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Q: Please show all the work!! solve the linear system: X1' = X1 +2X2  ;  X2' = -2X1 + X2

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Q: Consider the following. y=x36x2 + 12x - 2 20 y -2 18 16 14 12 10 8 2 x 1 2 3 4 5 6 (a) Estimate the…

A: a)The relative minimum is the point where the function changes from decreasing to increasing and the…