Ex. 2. Prove thät if two equal and perfectly elastic balls moving in the same direction collide directly, they interchange their velocities.

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Q: Please show your solution clearly thank you L{e^4t-cos2t/t}

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Q: . Compute the line integral of E from B(0,0,0) to A(2,1,3) if E = -4xya, – (4y + 2x2)a, + 8zaz. Use ...

A: The line integral of vector field E→ along curve C is ∫C   E→.dr=∫abE→(r→(t).r→'(t)dt  where r(t)→  ...

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A: Consider the following figure.

Q: 23. Using mathematical induction, show that dn n [F (x) · g(x)] = D dk [f(x}] • n dn-k dxn k) dxk k=...

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Q: dy Find by implicit differentiation. dx (1+e*)=4+ In (x +y). y -x Select the correct choice below an...

A: We need to use following property/ value of differentiation  dxndx=nxn-1du+vdx=dudx+dvdxdexdx=ex

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Q: 3) Find the volume of the of the solid that results when the region endosed by the curves y = x, y= ...

A: Since you have posted multiple questions and we can answer one question. So, answered first question...

Q: Find the volume of the solid obtained by rotating the given curves about the specified axis.

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A: Let a and b be two natural number with a&lt; b than b - a &gt; 0 . 

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Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear ...

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Q: a) Show that f has no rational roots. b) Determine the remainder of the division of f by g. c) Show ...

A: Given function are f=8x3-6x-1 g=4x3-3x and the set M=hcosπ9|h∈Q[x] Solution a: f=8x3-6x-1 Comparing ...

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Q: Suppose z = -18 + 14i and w 16 + -13i. Then Re (z + w) =? %3D

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Q: Determine whether the following series is convergent or divergent: Σ (4n)²n evnn2n n=1

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