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