Determine whether each relation is an equivalence relation. Justify your answer. If the relation is an equivalence relation, then describe the partition defined by the equivalence classes. (a) The domain is a group of people. Person x is related to person y under relation P if x and y have a common parent (i. e., x and y have the same biological mother or the same biological father or both). You can assume that there is at least one pair in the group, x and y, such that xPy.
(b) The domain is a group of people. Person x is related to person y under relation M if x and y have the same biological mother. You can assume that there is at least one pair in the group, x and y, such that xMy.
(c) The domain is the set of all integers. xEy if x + y is even. An integer z is even if z = 2 k for some integer k.

When designers make compromises during the engineering design process the result is often what?

What side length would you specify if you were required to create a regular hexagonal plate that was composed of 33 cm(squared) of sheet metal? dimension the side length to 0.1 cm

Consider the following declarations (1, 2, 3, 5, 7)class bagtype{public: void set(string, double, double, double, double); void print() const; string getstyle() const; double getprice() const; void get(double, double, double, double); bagtype(); bagtype(string, double, double, double, double); private: string style: double l; double w; double h; double price; }; a.) write the definition of the number function set so that private members are set according to the parametersb.) write the definition of the member function print that prints the values of the data membersc.) write the definition of the default constructor of the class bagtype so that the private member variables are initialized to "", 0.0, 0.0, 0.0, 0.0, respectively d.) write a c++ statement that prints the value of the object newbag.e.) write a c++ statement that declares the object tempbag of type bagtype, and initialize the member variables of tempbag to "backpack", 15, 8, 20 and 49.99, respectively