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Practice Final Exam - Algebra with Applications | MATH 141, Exams of Mathematics

Virginia Commonwealth University (VCU)Mathematics

Material Type: Exam; Class: ALGEBRA WITH APPLICATIONS; Subject: Mathematics & Appl Mathematics; University: Virginia Commonwealth University; Term: Unknown 1989;

Typology: Exams

2019/2020

Uploaded on 11/25/2020

koofers-user-6f3 🇺🇸

10 documents

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Math 142, Final Exam

Name: Student #:

Be neat and show your work in all problems.

Section E (5 points each) Do 6 out of 7.

Write the following in terms of a single logarithm function:

1)ln(x2−9) −2 ln(x−3) −ln(x+ 3)

2) Find the inverse of the function f(x) = x−1

x+1 .

Partial preview of the text

Download Practice Final Exam - Algebra with Applications | MATH 141 and more Exams Mathematics in PDF only on Docsity!

Math 142, Final Exam

Name: Student #:

Be neat and show your work in all problems.

Section E (5 points each) Do 6 out of 7.

Write the following in terms of a single logarithm function:

1)ln(x^2 − 9) − 2 ln(x − 3) − ln(x + 3)

2) Find the inverse of the function f (x) =

x− 1

x+.

(x−1)(x+1) dx

sin

(x)dx

Section M (8 points each) Do 18 out of 23.

1) Compute the integral

3 t^2 +6t+1 dt.

2) Compute f ′(x) if f (x) = (x^2 + 1)ln(x).

3) Compute

10 −^3 xdx

4) A bacterial population grows at a rate proportional to is size. Intially, it is 100, and after

20 days it is 200. What is the population after 50 days?

7)Evaluate

2 x+

x^2 +2x+1 dx

8) Evaluate

∫ ln(x 2 )

x^2 dx

9) Evaluate limx→ 0

ex−ln(1+x)− 1 x^2

10) Evaluate limx→∞

)x

13) Evaluate

3 √ 1 −x 2 dx

4 n 7 n

15) Use a geometric seris to write .2121212121... as a fraction.

Determine whether the following series converge or diverge.

1+k^2

Practice Final Exam - Algebra with Applications | MATH 141, Exams of Mathematics

Related documents

Partial preview of the text

Download Practice Final Exam - Algebra with Applications | MATH 141 and more Exams Mathematics in PDF only on Docsity!

Math 142, Final Exam

Name: Student #:

Be neat and show your work in all problems.

Section E (5 points each) Do 6 out of 7.

Write the following in terms of a single logarithm function:

1)ln(x^2 − 9) − 2 ln(x − 3) − ln(x + 3)

2) Find the inverse of the function f (x) =

x+.

(x−1)(x+1) dx

sin

(x)dx

Section M (8 points each) Do 18 out of 23.

1) Compute the integral

3 t^2 +6t+1 dt.

2) Compute f ′(x) if f (x) = (x^2 + 1)ln(x).

3) Compute

10 −^3 xdx

4) A bacterial population grows at a rate proportional to is size. Intially, it is 100, and after

20 days it is 200. What is the population after 50 days?

7)Evaluate

x^2 +2x+1 dx

8) Evaluate

∫ ln(x 2 )

x^2 dx

9) Evaluate limx→ 0

10) Evaluate limx→∞

)x

13) Evaluate

3 √ 1 −x 2 dx

15) Use a geometric seris to write .2121212121... as a fraction.

Determine whether the following series converge or diverge.

12 +1 +^

22 +1 +^

32 +1 +^ ..

Determine whether the following converges absolutely, converges conditionally or diverges.

n=1(−1)

2) Compute

cos(ln(x))dx.

3) Compute

x dx.

4) Evaluate

(x^2 +1)^2 dx.

5) Evaluate

0 e

−x sin(x)dx.