need help with solving these 2 assignments. Related to inverse functions and IntegrationAssignment 1
Complete this assignment after you have ?nished Unit 2, and submit your
work to your tutor for grading. Use the drop box to submit the assignment.
Do
not
submit your assignment by email. If you are unable to use the drop
box, contact your tutor.
This assignment has one bonus question. There is no penalty if you do not
attempt it, but you may be rewarded if you do. The maximum grade you
can obtain in this assignment is 100%.
Total points:
130
Weight:
10%
1. Give the domain of each of the functions listed below.
8 pts
a. sin
-
1
(
ln
x
)
b. cos
-
1
(
tanh
x
)
c.
p
tanh
-
1
x
2. Let
f
(
x
) =
sin
(
ln
x
)
8 pts
a. Indicate whether the function
f
is invertible on the interval
(
1,
e
?
/2
]
.
b. Find the value of
f
(
e
?
/4
)
.
3. Find the solution of the following equations. If no solution exists, explain
6 pts
why.
a. cos
-
1
(
x
2
-
3
x
) =
?
b.
e
3
x
6
x
2
=
e
3
c. ln
?
4
x
-
1
-
ln
(
x
) =
-
2
Introduction to Calculus II
1
This question was answered on: May 23, 2022
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