What is the possibility of this question's answer?

Question

This is a particle motion problem. A point moves smoothly along the curve y=x^(3/2) in the first quadrant in such a way that its distance from the origin increases at the constant rate of 11 units per second. Find dx/dt when x=3.
This is a Calculus problem.

Answer 1

The increment of length along a curve is given by

ds^2 = dx^2 + dy^2

for y = x^(3/2), dy = [(3/2)√x] dx

then ds^2 = dx^2 + (9/4)x dx^2

ds^2 = [1+(9/4)x] dx^2

ds = √[1+(9/4)x] dx; so ds/dx = √[1+(9/4)x]

ds/dt = ds/dx * dx/dt

solve for dx/dt

dx/dt = ds/dt / ds/dx

at x = 3, ds/dx = √[1+27/4] = 2.784; you are given that ds/dt = 11, so

dx/dt = 11/2.783 = 3.95 units/sec

Answer 2

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Answer 3

I am not sure, not in Calculus yet. But I'd I would have a better time answering if I knew if you meant probability, or do you really mean possibility!???!!!

Answer 4

Ah... I remember why I dropped out of Calculus. Stupid derivatives.

Answer 5

you need to break it up into parametric equations or use related rates

dy/dx=(dy/dt)/(dx/dt)
dy/dx=(3/2)x^(1/2)
dx/dt=(dy/dt)/(dy/dx)

sorry, i only got it started. hope you can manage the rest

Answer 6

0 chances from me!I'm in Prep-math.
I can figure out that
1 question= 2 points
thanks

Answer 7

You are going to win the "nobody answered this" award...

Answer 8

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