## [answered] Math 114, Worksheet #9 Question 1:( 10 points) Find the val

I need help with all of them if possible. ?Thanks. ?The exercises are on the pdf

Math 114, Worksheet #9

Question 1:( 10 points) Find the value of the following limit:

lim n?? n

X ?

i

( n + ? )?2

n

i=1 1 Question 2: (a) ( 10 points) Find y?. Do not simplify.

y= Z R sin x

1 1 1

dt

1+t2 1

dt

1 + t2 (b)

(10 points) Let f beZ a differentiable function that satisfies

Z

x 2 5 f (t)dt = cos(2x) + 1 x (cos t)f (t)dt, find f 0 ( ?2 ). 2 Question 3: Compute the following integrals:

(a) (10 points) Z 3 ||x ? 6| ? 7|dx ?2 (b) (10 points) Z 3

?3 e2 + x3 ln(1 + x2 )

dx

x4 + 2 3

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This question was answered on: Sep 18, 2020

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