Find the general solution of the first-order linear equation dy dx + 2y = e²x

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A: Consider the equation

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A: The Power Rule:The Chain Rule:

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Q: Evaluate the following integral, (9x - y²)dx + xy dy where C is given by x X = 5t, y = √t, 0 ≤ t s…

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Q: Prob #3 A 25in Find the area of the triangle below. 75° B 37° с

A: Given that a triangle ABC . Here     Angle A = 75°     Angle B = 37°    Side AB = 25 in.

Q: Suppose f(x, y) = (x - y) (25 - xy). Answer the following. Each answer should be a list of points…

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Q: Use a graphing calculator or computer to verify the given linear approximation at a = 0. Then…

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Q: 5 -4 -3 N 5 4 3 2 -1 -2 -3 -4 1 2 3 4 5 -5+ In the above graph of y = f( x ), find the slope of the…

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Q: The function g(x, y) = sin x + sin y has a critical point at (³7, 37). 2 The 2nd partials test…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Assume that  are both  differentiable  functions of t.(a) To find , given that (b)  To find , given…

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A: The given function .The aim is to find the concavity intervals and the inflection point.

Q: Estimate f (5.06) for f as in the figure. y=f(x)/ ƒ (5.06) ≈ (4,2) (10,4) Tangent line X (Give your…

A: The figure is given as,Estimate

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A: Consider the following. To find the equation of the ellipse.To find the foci of the ellipse.

Q: What are the critical points of f(x, y) = x² – 3xy — 1? (0,0) (1,1) (0,0) and (1,1) (1,-1) (1,1) and…

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Q: What values of a and b make the function f continuous everywhere? x² 4 a = f(x) = and b = - " X 2…

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A: The given differential equation is

Q: Solve the second order. Dieg - Ý - ý syes 1 39

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Q: Suppose that 4x²+ 10 x+ 10 < g(x) < 4x²-3x+10 for all 0. Compute the exact value of lim g(x) x-0

A: finding the limit

Q: xª−12x³+36x² X-6 x4+x³-42x 2) lim ||

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

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Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t), -t, -4sin(3t)] when t = 0. (b)…

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Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x -…

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Q: The answers are K=73.333 and L=146.67 Ibs, can you explain to me how to get there?

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Q: 5. (x + 2y + 3) dx + (3x + 9y − 5) dy = 0

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