The speed, V (km/h), of a car at time t (seconds) is given by where 0 ?
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Question:
The speed, V (km/h), of a car at time t (seconds) is given by
where 0 ? t ? 60 (note the exponential function, ex, can be written as exp (x)).
1. We want to know when the car will reach a certain speed. Solve for the time t in terms of the speed V , and hence find the formula for the inverse function f^-1(t).
2. Write down the domain of f^?1(t).
3. Plot f(t) from t = 0 to t = 60 and then plot f^?1(t) on the same axes but only for the values of t in the domain of the inverse function found in (b).
4. Describe the geometric relationship that you can see when you consider both f(t) and f^?1(t).
Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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