The location P(t) of an object moving in the xy-plane at time t seconds is given by the equations P(t)=(x(t),y(t)), where x(t)=a +6t and y(t)=b +7t, a,b are constants and distances are measured in units of meters. The equations x(t), y(t) describe linear parametrized motion; see section 10.1 of the textbook for review. (a) The location of the object at time t=1 is ( , ) (b) The average rate of change of x(t) between 1 and 2 seconds is m/s; this is called the average velocity of x(t) on the time interval [1,2]. (c) The instantaneous rate of change of x(t) at time t=1 is m/s; this is called the instantaneous horizontal velocity at time t=1. (d) What is the instantaneous horizontal velocity of the object at time t? (e) The average rate of change of y(t) between 1 and 2 seconds is m/s; this is called the average velocity of y(t) on the time interval [1,2]. (f) The instantaneous rate of change of y(t) at time t=1