In chapter 8 we discussed vectors, which are like arrays that can grow in size. suppose that vectors were not defined in c++. define a class called vectordouble that is like a class for a vector with base type double. your class vector double will have a private member variable for a dynamic array of doubles. it will also have two member variables of type int; one called max_count for the size of the dynamic array of doubles; and one called count for the number of array positions currently holding values. (max_count is the same as the capacity of a vector; count is the same as the size of a vector.) if you attempt to add an element (a value of type double) to the vector object of the class vectordouble and there is no more room, then a new dynamic array with twice the capacity of the old dynamic array is created and the values of the old dynamic array are copied to the new dynamic array