Given the Graph of the Function Y = $x ^ { 2 }$

question 16

Multiple Choice

Given the graph of the function y = $x ^ { 2 }$ + 8, set up the definite integral that gives the area of the shaded region.

• A) \(\int _ { 0 } ^ { 8 } \left( x ^ { 2 } + 8 \right)\) dx
• B) \(\int _ { - 3 } ^ { 2 } \left( x ^ { 2 } + 8 \right)\) dx
• C) \(\int _ { 0 } ^ { 2 } 2 \left( x ^ { 2 } + 8 \right)\) dx
• D) \(\int _ { 2 } ^ { - 3 } \left( x ^ { 2 } + 8 \right)\) dx

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Definitions:

Sediments

Particles of rock, minerals, or organic matter that have been transported and deposited by wind, water, or ice.

Suspended Load

Fine particles, generally clay and silt, that are carried suspended in moving water.

Low Density Particles

Particles that have a lower mass per unit volume compared to other particles or mediums.

Transported

Refers to materials or objects that have been moved from their original location by natural processes, such as water, wind, or ice.