Find d when t=4.
Estimate the instantaneous rate of change of d with respect to t when t=2.5 using 2.5001 seconds. Round to the nearest thousandth.
At that time, is the pendulum approaching the wall or moving away from it? Why? What is the distance doing?
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Evaluate the performance of a helical compression spring made from 17-gage ASTM A229 steel wire that has an outside diameter of . It has a free length of , squared and ground ends, and a total of coils. Compute the spring rate and the deflection and stress when carrying . At this stress level, for what service (light, medium, or severe) would the spring be suitable?
Chemists and engineers must be able to predict the changes in chemical concentration in a reaction. A model used for many single-reactant processes is
where C is the chemical concentration and k is the rate constant. The order of the reaction is the value of the exponent n. Solution methods for differential equations can show that the solution for a rst-order reaction ( n = 1) is
The following data describe the reaction
Use these data to obtain a least-squares fit to estimate the value of k.