Question

A triangle with constant base b and height h is changing with time where h(t)=3t +1. What is the rate of change of the area of the triangle when t=1?

Answer 1

The rate of change of the area of the triangle when t=1 is also equal to 3.

Rate of change

Given the function of height of a triangle expressed as:

• h(t) = 3t + 1

The rate of change is expressed as

• dh/dt = 3

The rate of change of the area of the triangle when t=1 is also equal to 3.

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