Determine whether given differential equation is exact. If it is, find the solution. (e – y cos (xy)) dx + (2xe³" – x cos (*y) + 2y) dy = 0

We have used an experimental setup similar to Example 10.1 to determine the value of a spring constant. The deflection caused by the corresponding weights are given in the accompanying table. What is the value of the spring constant? Weight (lb) The Deflection of the Spring (in.) 5.0 0.48 10.0 1.00 15.0 1.90 20.0 2.95

A structural member with a rectangular cross section as shown in the accompanying figure is used to support a load of 2500 N. What type of material do you recommend be used to carry the load safely? Base your calculations on the yield strength and a factor of safety of 2.0.

In Chapter 12, we explained that the electric power consumption of various electrical components can be determined using the following power formula: P = VI = RI2 where P is power in watts, V is the voltage, I is the current in amps, and R is the resistance of the component in ohms. Plot the power consumption of an electrical component with a resistance of 145 ohms. Vary the value of the current from zero to 4 amps. Discuss and plot the change in power consumption as the function of current drawn through the component.