13. [45 Points] DETAILS SPRECALCT 8.3.059. Write 21 and 22 in polar form. 1225521; 22:l+i N Find the product 2122 and the quotients 2122 = 22 L _ 21 z1 22 1 . and 2. {Express your answers In polar form.} 1 18. [8 Points] SPRECALC? 8.4.007. A pair of parametric equations is given. x = J}, y = l. t (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. 3' Y 2 TTT 12 - 1 2 3 X 4 5 6 -2 10/ -4 -6- 6/ -8 4 -10 2 -12 O 1 2 3 4 5 6 O -21 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. , where x ? v 0*1 | A straight river ows east at a speed of 10 mi/h. A boater starts at the south shore ofthe river and heads in a direction 60 from the shore (see the figure]. The motorboat has a speed of 20 mifh relative to the water. (Assume that the i vector points east, and the j vector points north.) P'L -___ A. / ,____ ,.r'__ ~_ A ,_--___"-s. (a) Express the velocity of the river as a vector in component form. (b) Express the velocity of the motorboat relative to the water as a vector in component form. (Round your answer to two decimal places.) (c) Find the true velocity of the motorboat. (Round your answer to two decimal places.) (d) Find the true speed of the m mifh boat. [Round your answer to one decimal place.) Find the direction of the motorboat. (Round your answer to one decimal place.)