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Mathematics 21 Online
OpenStudy (anonymous):

related calc rates anyone?

OpenStudy (anonymous):

:(

OpenStudy (anonymous):

Post them up!

OpenStudy (anonymous):

the problems?

OpenStudy (anonymous):

Otherwise, how could we help?

OpenStudy (anonymous):

awesome! but i just need help setting them up

OpenStudy (anonymous):

Where the data, inform to set them up???

OpenStudy (anonymous):

An 8 foot long ladder is leaning against a wall. The top of the ladder is sliding down the wall at the rate of 2 feet per second. How fast is the bottom of the ladder moving along the ground at the point in time when the bottom of the ladder is 4 feet from the wall. Click here for an animation. Solution: y = distance from the top of the ladder to the ground x = distance from the bottom of the ladder to the wall dy/dt = -2 Find dx/dt when x = 4 (and y = 4(31/2) by the Pythagorean Theorem) x2 + y2 = 64 2x dx/dt + 2y dy/dt = 0 2x dx/dt - 4y = 0 dx/dt = 4y/(2x) = 2(31/2) ft/sec when x = 4 ft

OpenStudy (anonymous):

so?

OpenStudy (anonymous):

x dx/dt + y dy/dt = 0 -> dx/dt = y dy/dt * 1/x = sqrt (48) * ( -2) * 1/4

OpenStudy (anonymous):

but if they just gave you a problem..then what?

OpenStudy (anonymous):

That's solution :)

OpenStudy (anonymous):

how would you set this up? A boat is being pulled toward a dock by means of a rope attached to the front tip of the bow. Initially there are 30 feet of rope out and the rope is taught and being reeled in by a circular device the top of which is 10 feet higher than the point where the rope is attached to the boat. This circular device has a radius of 1 foot and turns at the rate of one revolution every pi seconds. How fast is the boat moving along the water when there are 15 feet of rope out?

OpenStudy (anonymous):

Open the new post, will you!

OpenStudy (anonymous):

sorry?

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