Many engineering applications require “normalizing” an n-element vector V. Each element wt of the normalized vector W is defined as follows: Write a C++ program that defines a class Vector that allocates stack space for vectors of up to ten elements, and stores the actual vector size as a component of the class. Overload the » operator to allow sentinelterminated input of a vector. Also overload the « operator. Then define a function normalize that takes a class Vector input parameter and a class Vector output parameter, and stores in the output parameter the normalized version of the input parameter. Write a main function that thoroughly tests your class and the normalize function.While reengineering some old equipment the circuit shown in Fig. P 14.9 is found. The design calculations have been lost, but the component’s values were measured as given in the figure. and the nameplate indicates As an engineer, you arc assigned to replace this filter with a new one using active filter techniques. Of course you may not use any inductors, and you are restricted to use no more than two quad-opamp chips. Among the options discussed in this chapter, use a suitable method; justify your choice. Design the circuit with practical element values, and measure the attenuation characteristics you achieve.