# Homework 0

Published

January 23, 2023

Homework 0 is due on 2/3/2023. Please try to submit the assignment as 1 PDF if possible.

### Problem 1

Take a selfie at the different office hours locations. You will need 3 images.

### Problem 2

Take a selfie with another professor at CSUCI.

### Problem 3

Take a selfie at the Learning Resource Center (LRC). Identify any tutors that can help you with Math 352

### Problem 4

Set the equation to 0 and solve for x:

1. \ln(x^2+5)
2. x^2+6x+7
3. 3x^2-5x+2
4. e^{x^2-4}
5. \ln(5x) + 3

### Problem 5

Complete the following derivatives:

1. f(x)=e^x

2. f(x) = e^{x^2}

3. f(x) = e^x x^2

4. f(x) = \frac{\ln(x^2)}{x^2+3x}

5. f(x) = \ln(x)

### Problem 6

Complete the following integrals:

1. \int-\frac{9}{x^4}dx
2. \int x^2\ln(x) dx
3. \int x^2\sqrt x dx
4. \int x^2e^{-x^3}dx
5. \int2x(x^2+1)^4dx

### Problem 7

Evaluate the following identities1:

1. (x+y)^n
2. \sum^\infty_{i=1}r^i; |r|<1
3. \sum^{m}_{i=1}r^i; |r|<1
4. \sum^\infty_{i=0}\frac{x^i}{i!}
5. \frac{n!}{(n-1)!}

## Footnotes

1. Either convert to summation notation or evaluate the summation.↩︎