1 A rocket follows a path given by y= x - x3 (distances in miles). If the horizontal velocity is given by v)( =x, nd the magnitude and direction of the velocity when the rocket hits the ground (assume level terrain) if time is in minutes. E> Find the magnitude of the velocity of the rocket at the point The magnitude is approximately D miles per minute. (Type an integer or a decimal. Round the nal answer to one decimal place as needed. Round all intermediate values to two decimal places as needed.) dx Assume that x = x(t) and y = y(t). Let y = x* + 2 and =3 when x = 1. dt dy Find dt when x = 1. . . . dy dt (Simplify your answer.)Assume that all variables are implicit functions of time t. Find the indicated rate. dx dy x2 + 4v-+ 6y= 47; dt = 1 when x = 7 and y = - 1; find dt . . . dy dt (Simplify your answer.)