True or false on areas by integration

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   Area is built from thin vertical strips.

2. Statement is true

   No

   Statement

   A strip's area is y plus dx.

3. Statement is true

   Yes

   Statement

   Below the axis the integral is negative.

4. Statement is true

   No

   Statement

   Negative areas are reported as negative.

5. Statement is true

   Yes

   Statement

   First quadrant y is taken positive.

6. Statement is true

   No

   Statement

   Cauchy died in 1877.

Instructions

Decide whether each statement is true or false.

Explanation