Ch 7. Inverse Functions ma Multimedia Engineering Math InverseFunctions ExponentialFunctions Inverse Trig.Functions
 Chapter 1. Limits 2. Derivatives I 3. Derivatives II 4. Mean Value 5. Curve Sketching 6. Integrals 7. Inverse Functions 8. Integration Tech. 9. Integrate App. 10. Parametric Eqs. 11. Polar Coord. 12. Series Appendix Basic Math Units Search eBooks Dynamics Statics Mechanics Fluids Thermodynamics Math Author(s): Hengzhong Wen Chean Chin Ngo Meirong Huang Kurt Gramoll ©Kurt Gramoll

 MATHEMATICS - CASE STUDY SOLUTION A cart speed varies as v = 2500 t2/3 mile/hour. How long does it take the cart to have a constant speed of 10 mile/hour if the cart start from rest? The Function of Speed Let the speed of the cart and the time be v and t respectively. Since the speed is a positive value, the speed with respect to time is a one-to-one function as shown in the diagram on the left. Rearranging the function in terms of v gives      t = v3/2/2500 When the speed is 10 mile/hour, the time is      t = 103/2/2500 = 0.0126 hour = 30.36 s