Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

What is the rate of change of y with respect to x when t = 3 ?

An object moves in the xy-plane so that its position at any time t is given by the parametric equations x(t)=(t^3)-(3t^2)+2 and y(t)= square root of ((t^2)+16). What is the rate of change of y with respect to x when t = 3 ?

A=1/90

B=1/15

C=3/5

D=5/2

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  • rotchm
    Lv 7
    1 month ago

    Hint: dx/dx = (dy/dt)/(dx/dt).

    Show your steps here if need be and we can go through it with you. 

    Hopefully no one will spoil you the answer thereby depriving you from your personal enhancement; that would be very inconsiderate of them. 

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