Use l'Hôpital's rule to find the following limit. lim 2x²e-x X48

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A: Given that

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A: The solution is shown in step-2

Q: 6

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Q: (b) H re dr

A:

Q: can you solve part (d)

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A: The given definite integral .The aim is to calculate the integral value.

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Q: can u please solve part (d)?

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Q: lim, 1 2²-7x+6 z-1

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Q: a B b с Α)

A: a=8 and b=5Using Pythagoras Theoremc2=a2+b2c=64+25=89

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Q: If xy +x = 12 and OA. -9 OB. 3 OC. 9 OD. -3. dx dt = -3, then what is dy dt when x = 2 and y = 5?

A: The given function is

Q: Evaluate the following indefinite integrals: (a) [e² sin (e²) da

A: As per the Bartleby guidelines, answer only first question as the second question is not the sub…