math homework

hello please i need help on my math work and i need it by hand writing please make sure the hand writing is clear and i want the work step by step and i don’t want it writing in word i want it as show work thank you so much for your help

Math 151
Spring
2020
Fall 2020
Final Exam
I.
True or false:
1.
elnx ‘
2.
e
3.
lim
5.
6.
x
x
e
‘
x
sin x
x
0
ln xdx
1
x
x
4.
II.
Name:……………………….
ln 3
0
d
dx
e x dx
sin x
cos x
C
2
tdt
sin x cos x
Find the limits:
1.
lim
x 1
1
x
2
x 1
1
III.
2.
x100 1
lim
x 1 x
1
3.
lim
x
e2 x 1
0 ex
1
Find the horizontal asymptotes for f x
2
1
ex
2
IV. Let y
a.
arcsin 2 x . Then y ‘
1
1 4×2
d.
b.
1
4×2
1
e.
c.
V.
2
2×2
Let y
2
4×2
1
2
1 4×2
1
x x . Use logarithmic differentiation to find y ‘ .
3
VI.
Let y 2
VII.
Find the integrals:
2 xy . Use implicit differentiation to find y ‘ .
1.
cos 7xdx
2.
sin 2 x cos xdx
4
3.
9×2 6x 3
dx
x3 x 2 x 1
4.
eln x dx
5.
x 1
dx
x2 1
5
6.
7.
1
4
x
2 dx
1
dx
x ln x
6