Find the Surface Area or Volume $y = e ^ { x } , 0 \leq x \leq 3$

question 6

Multiple Choice

Find the surface area or volume.
-Use substitution and a table of integrals to find, to two decimal places, the area of the surface generated by revolving the curve $y = e ^ { x } , 0 \leq x \leq 3$ , about the $x$ -axis.

• A) 1666.81
• B) 1544.52
• C) 1381.47
• D) 1276.14

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Definitions:

Basin

1. A low-lying area or an area in which sediments accumulate with no surface outlet. 2. A structural feature toward which rock strata are inclined in all directions.

Metamorphic Grade

The intensity of heat and pressure conditions that have altered a rock, affecting its mineral composition and structure during the process of metamorphism.

Banded Gneissic Rock

A metamorphic rock characterized by alternating light and dark mineral bands, indicating high-grade metamorphism.

Mica Crystals

Minerals characterized by their sheet-like structure and ability to split easily along flat planes, commonly found in igneous and metamorphic rocks.