Let R Be the Region in the First Quadrant Bounded $x ^ { 2 } + y ^ { 2 } = 1$

question 13

Essay

Let R be the region in the first quadrant bounded between the circle $x ^ { 2 } + y ^ { 2 } = 1$ and the two axes.Then $\int _ { R } \left( x ^ { 2 } + y ^ { 2 } \right) d A = \frac { \pi } { 8 }$ Let $\bar { R }$ be the region in the first quadrant bounded between the ellipse $25 x ^ { 2 } + 9 y ^ { 2 } = 1$ and the two axes.
Use the change of variable x = s/5, y = t/3 to evaluate the integral $\int _ { x } \left( 75 x ^ { 2 } + 27 y ^ { 2 } \right) d A$

---

Definitions:

Unbeliever

A person who does not accept a particular faith, belief, or claim.

Privilege

Unearned advantages or rights granted to certain groups based on characteristics like race, gender, or socio-economic status.

Phonemes

The smallest units of sound in a language that distinguish one word from another.

Morphemes

The smallest grammatical units in a language that convey meaning, including roots and affixes.