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
( n + ? )?2
i=1 1 Question 2: (a) ( 10 points) Find y?. Do not simplify.
y= Z R sin x
1 1 1
1 + t2 (b)
(10 points) Let f beZ a differentiable function that satisfies
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 )
x4 + 2 3
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