Question: Determine whether the statement is true or false, and explain why. A related rates problem is used when we know the rate of change of
Determine whether the statement is true or false, and explain why.
A related rates problem is used when we know the rate of change of one or more quantities, and we want to find fiee rate of change of anoffer quartity.
Choose the correct answer below.
A The statement is false. In a related rates problem, all of the rates of change are unitiown. However, the relationahip between them can be found using implict differentiation.
B The statement is true. In a related rates problem, a rate of change is given. This rate of change needs fo be multipled by a constant is find an unknown rate of change.
C The statement is true. In a related rates problem, an equation relating multiple quantities is given. Use implicat differentiation to find the derivalive of this equation and then ratiolitio the urinown rate of change using the given values.
D The statement is false. In a related rates problem, all of the rates of change are given. These values need to be substitud into an equation relating these ratis of change in order to catalate the unknown quantity.
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