calculus

Midterm 03

Course Code: 021 Course Name: Calculus II

Total Score: 100 Class Time: 9:00 to 10:30

Obtained Score:

Student Name:

Date: 27 July, 2020

Note:

1. All students need to download this Midterm, after solving the required

questions you need to scan it and make a pdf file then upload into the

online system.

2. Only hand written solutions are acceptable.

3. Uploading Pictures with mobile phone without pdf file is not acceptable at

all.

4. Solve each question below by showing all the necessary steps.

5. If still you have any problem you can ask me via e-mail.

Solve the entire questions:

Question 01: (10)

Are the series convergent or divergent?

a)

b)

Question 02: (15)

Are the following series absolutely convergent?

a)

b)

Question 03: (10)

Evaluate the integral that converges

Question 04: (15)

Does the series converges or diverges

a)

b)

Questions 05: (10)

The arc of the parabola from (1, 1) to (2, 4) is rotated about y-axis. Find the

area of the resulting surface.

Question 06: (15)

Determine whether the series converges or diverges.

a)

b)

Question 07: (10)

Show that the Ratio Test is inconclusive for

a)

b)

Question 08: (15)

Express the following fraction as the sum of partial fraction.