In(1+x) -x cosx -1 1. lim x-+0 7- In(2x + 3) 3. lim x-00 In(5x -2)

Q: 3. Determine the valume of the solid ebtained by rotating the region bounded by y=x² and x =y2 about…

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Q: '글 +2+글 +5 The sum +8+ +11 written in sigma notation is equal to 8 3k-2 A k=1 2 8 3k - 1 B k=1 8 3k…

A: The sum 1/2 +2+7/2 +5+13/2 +8+19/2 +11.

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Q: 13. Find the length of the curve y4 + 8 from y = 1 to y = 4. X = 4y2

A: To find the length of given curve.

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A: Here, the given DE is: 1x2+y2(x dy -y dx)=0...(1)

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Sh dx

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Q: -945° is equal to i radians. (Type your answer in this format: a*pi/b where a and b are integers.)

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Q: - x = (y – 2)²

A: The question is a bit unusual, because, the given equation is not a cylinder.  Instead the equation…

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A: Given that,       r1(t)=9t i+4t2j+5t3k,   r2(t)=t4k

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A: Given x=et cost  , y=et sint , z=7 et

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Q: S- 3 dy 3y - sin –+C 4– 9y2 3 A True B) False ||

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = e"i+ e¬'j K(t)

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Q: Sing do Coso + Cose-2

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Q: I - 5 Use l'Hopital's Rule to evaluate lim Then determine the limit using limit laws and I5 22 - 25…

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Q: Evaluate the improper integral |. 3.x dx or show that it diverges. +1 x?

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Q: (a) Alina needs to make a flyer for her band's concert. The flyer must contain 20 square inches of…

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A: Application of integration

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A: Here we have to find the value of n.  2n+1!=120

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