The Altitude of a Triangle Is Increasing at a Rate $1 \mathrm {~cm} / \mathrm { min }$

question 113

Short Answer

The altitude of a triangle is increasing at a rate of $1 \mathrm {~cm} / \mathrm { min }$ while the area of the triangle is increasing at a rate of $2 \mathrm {~cm} ^ { 2 } / \mathrm { min }$ . At what rate is the base of the triangle changing when the altitude is $10 \mathrm {~cm}$ and the area is $100 \mathrm {~cm} ^ { 2 }$ .

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Definitions:

Evolutionary Perspective

An approach in psychology that explains human behavior and mental processes through the lens of adaptation and survival, influenced by the principles of natural selection.

Reproductive Advantages

Benefits in the context of natural selection that increase an organism's chances of reproducing and passing on genes to the next generation.

Psychological Traits

Enduring characteristics or behaviors that are consistent over time and across situations, and help define an individual's personality.

Neuroscience Perspective

An approach in psychology and cognitive science that studies the brain and nervous system to understand behavior and cognitive functions.