A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 5 m from the dock? (Round your answer to two decimal places.)

1.0198m/s

Explanation:

let the distance of boat from the dock be , then use Pythagorean theorem we have : where the length of the rope:

#Differentiate through with respect to

Finding , and is given as

With at the given instant and

Hence

Rate of decrease of the distance between dock and boat is =1.0198m/s

i was thinking more like reflects green light, just not sure

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14