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ID: 2876839 • Letter: E

Question

e webassign netwebstudent/Assignment Responses/submitrdep 14704999eo -1 points RogacalcET3 146 018 My Noles Asa Jessica and Matthew are running toward the point Palong the straight paths that make a fixed angle of e, Suppose that Matthew runs with velocity ve meters per second and Jessica with velocity ve meters per second. Assume that e m/2. Use the Chain Rule to determine the rate at which the distance f between Matthew and Jessica is changing when 30, va 3 m/s, and ve 4 m/s. B. 11 points Frevious Answers RogacaicET) 146025 Suppose that z is defined imp city as a function of and y by the equation F z rz y z 5 1 x calculate F., F

Explanation / Answer

from cosine rule f2=x2+y2-2xycos(pi/3) ...............(1)

putting x=50 ,y=30 ;f =(1900)1/2 =43.60

differentiating w.r.t. t

2fdf/dt =2xdx/dt +2ydy/dt -xdy/dt-ydx/dt putting f=43.60 ,x=50,y=30, dx/dt =3 ,dy/dt =4

2*43.60 *df/dt =2*50*3+2*30*4 -50*4-30*3

df/dt=2.868 m/s