2. Sketch the graph of the quadratic y=- =-2(x+3)² +8 by using a series of transformations. Show all of the transformed tables.

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Q: Ans. y=10 cost + 2 sint-√√2 sin√√2t 5. 2y+3y"-3y'-2y=e', y(0)=y'(0) = 0, y"(0) = 1 8 1 Ans. y 9 -1/2…

A: 2y'''+3y''-3y'-2y=e-t, y(0)=y'(0)=0, y''(0)=1

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A: Consider the given ellipse :

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A: Product Law for differentiation, (AB)' = A'B + AB'.

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A: To solve the following rational equation.

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A: The given function is

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A: Given ln x = 9 - xF(x) = 9 - x - ln(x)Now we can solve using Newtons method.

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A: The average value of  equals 2 for , and equals 6 for .To find .

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A: Computewhere  is the solid shpere

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Q: Find u x v, v x u, and v x v. u = 2i + 6k v = 5i + 9j - 2k. uxv (a) (b) vxu (c) vxv

A: You have posted multiple question in this question which are not interlinked so i have solved first…

Q: f(7) = 18 and n: S 0. f'(0) de = [² 10 0 f(y) dy = -10

A: f(7)=18 and ∫07f(y)dy=−10I=∫07θ⋅f′(θ)dθUsing Integration by Parts∫udv=uv−∫vdv

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