The Volume of a Certain Tree Is Given By $V = \frac { 1 } { 12 \pi } C ^ { 2 } h$

question 133

Short Answer

The volume of a certain tree is given by $V = \frac { 1 } { 12 \pi } C ^ { 2 } h$ , where C is the circumference of the tree at the ground level and h is the height of the tree.If C is 4 feet and growing at the rate of 0.25 feet per year, and if h is 25 feet and is growing at 5 feet per year, find the rate of growth of the volume V (in ft³/yr).Round to 2 decimal places.

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Definitions:

CAG Repeats

A series of trinucleotide repeats in the DNA, where the cytosine (C), adenine (A), and guanine (G) nucleotides are repeated multiple times; associated with various genetic disorders when present in high numbers.

HTT Gene

A gene on chromosome 4 that codes for the huntingtin protein, mutations of which are associated with Huntington's disease.

Huntington Disease

A hereditary neurodegenerative disorder characterized by motor dysfunction, cognitive decline, and psychiatric issues, often leading to a significant reduction in quality of life.

Huntington Disease

A genetic neurodegenerative disorder that leads to motor dysfunction, cognitive decline, and psychiatric symptoms.