Use the result in Exercise 3 to find parametric equation for the tangent line to the graph of
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- A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an idler. Show that the angular velocity of the third gear does not depend on the number of teeth of the idler gear (Gear 2).arrow_forwardTrace the curvearrow_forwardFind parametric equations for the tangent line to the curve a-tcost, y-t, z- tsint at thearrow_forward
- A curve is defined by the parametric equations x = sin t, y = 1 – cos t, 0arrow_forwardUse the arc-length formula of the parametric equation and evaluate the arc-length of the curve while x = t°, y = t² over the limit 0arrow_forwardTrace the curve: r = 2+3 cos 0.arrow_forwardx=sec(t) y=tan(t) t E[0,pi] a) Identitfy the (x,y) coordinates of the point corresponding to the value t=(3pi)/4. b) Write the parametric form of dy/dx, then use it find the slope of the tangent line at the point in part b.arrow_forwardSolve and show complete solution.arrow_forwardConsider the parametric curve C: x=1+cost, y= -3+2sint, 0 stS (1) Sketch the curve and indicate the orientation of the curve TO (2) Find the equation of the tangent line when t= 6.arrow_forwardarrow_back_iosarrow_forward_iosRecommended textbooks for you
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