Here are the mistakes identified in each sentence along with the corrections:

1. **Mistake:** "the one your"
**Correction:** "the one our"
**Corrected Sentence:** The explanation that our teacher gave us was different from the one our teacher gave you.

2. **Mistake:** "has died for"
**Correction:** "has died" (or "had died")
**Corrected Sentence:** Her husband has died for 10 years so she's thinking of getting remarried. (It could also be corrected to: Her husband died 10 years ago, so she's thinking of getting remarried.)

3. **Mistake:** "had"
**Correction:** "have"
**Corrected Sentence:** I think it would be easier to hold the audience's attention if you have a slide show along with the lecture.

4. **Mistake:** "is beginning"
**Correction:** "that is beginning"
**Corrected Sentence:** The wooden fence that surrounded the factory is beginning to break due to the rain.

5. **Mistake:** "many its employees"
**Correction:** "many of its employees"
**Corrected Sentence:** The factory made many of its employees redundant because it had automated so many operations.