document.write( "Question 885297: Find dy/dx\r
\n" ); document.write( "\n" ); document.write( "x=7sint
\n" ); document.write( "y=14cost\r
\n" ); document.write( "\n" ); document.write( "dx/dt:7cos
\n" ); document.write( "dy/dt-14sin or 14-sin (I'm not sure)\r
\n" ); document.write( "\n" ); document.write( "dy/dx=2-tan or -2tan (dunno which one0 (which is incorrect) pls help clarify why?)\r
\n" ); document.write( "\n" ); document.write( "x=e^9t
\n" ); document.write( "y=18t\r
\n" ); document.write( "\n" ); document.write( "dx/dt=9e^9t
\n" ); document.write( "dy/dx=18\r
\n" ); document.write( "\n" ); document.write( "dy/dx=18/9e^9t (which is wrong again, please tell me what I am doing wrong)\r
\n" ); document.write( "\n" ); document.write( "thank you
\n" ); document.write( "thank you \n" ); document.write( "

Algebra.Com's Answer #535109 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
1) x = 7sin(t)
\n" ); document.write( "dx/dt = 7cos(t)
\n" ); document.write( "2) y = 14cos(t)
\n" ); document.write( "dy/dt = -14sin(t)
\n" ); document.write( "3) dy/dx = (dy/dt) / dx/dt) = -14sin(t) / 7cos(t) = -2tan(t)
\n" ); document.write( "4) x=e^(9t)
\n" ); document.write( "let u = 9t
\n" ); document.write( "d/dt[e^u] = e^(9t) * u'
\n" ); document.write( "d/dt[e^u] = e^(9t) * 9
\n" ); document.write( "d/dt[e^u] = 9e^(9t)
\n" ); document.write( "5) y=18t
\n" ); document.write( "dy/dt = 18
\n" ); document.write( "6) dy/dx = (dy/dt) / dx/dt) = 18 / 9e^(9t) = 2e(-9t)
\n" ); document.write( " \n" ); document.write( "

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