O/2 points | PreviouB Anewers SCalcET8 10.2.017 My Notes Find the points on the
ID: 2890641 • Letter: O
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O/2 points | PreviouB Anewers SCalcET8 10.2.017 My Notes Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to check your work. (Enter your answers as a comma-separated list of ordered pairs.) x - - 3t, y 2-9 horizontal tangent Cx, y)-0,-4 vertical tangent(x, y) --2,-7),(2,-7) x G. /2 points SCalcET8 10.2.509.XP My Notes At what points on the given curve x-43,y-3+64t - 16t2 does the tangent line have slope 1? (x, y) x,y)- (smaller x-value) (larger x-value) 7. 02 points| Previous Answers SCalcET8 10.2.030. My Notes Find the equations of the tangents to the curvex -6t2+6, y- 4+4 that pass through the point (12, 8) x (smaller slope) (larger slope) Submit Answer Save ProgressExplanation / Answer
5. x=t3-3t, dx/dt=3t2-3
y=t2-9 , dy/dt=2t
dy/dx=(dy/dt)/(dx/dt)= 2t/(t2-9)
horizontal tangent, dy/dx=0
2t=0
t=0
x=0, y=-9
point is (0,-9)
vertical tangent
3t2-3=0
t=-1,1
at t=-1, x=2, y=-8
at t=1, x=-2, y=-8
points are (-2,-8),(2,-8)
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