Tangents to CurvesAs mentioned in the text, the tangent line to a smooth curver(t) = f(t)i + g(t)j + h(t)k at t = to is the line that passes throughthe point (f(), g(), h()) parallel to v(,), the curve's velocity vec-tor at to. In Exercises 23-26, find parametric equations for the line thatis tangent to the given curve at the given parameter value t = 1o-TT26. r(t) = (cos t)i + (sin t)j + (sin 2r)k, to =1/2

The given vector is: r(t)=(cos t)i+(sin t)j+(sin 2t)k ; t0=π2

Tangents to Curves As mentioned in the text, the tangent line to a smooth curve r(t) = f(t)i + g(t)j + h(t)k at t = 6 is the line that passes through the point (f(), g(), h(o)) parallel to v(t), the curve's velocity vec- tor at to. In Exercises 23-26, find parametric equations for the line that is tangent to the given curve at the given parameter value t = 6. %3D TT 26. r(t) (cos t)i + (sin t)j + (sin 2t)k, o = %3D %3D

Tangents to Curves As mentioned in the text, the tangent line to a smooth curve r(t) = f(t)i + g(t)j + h(t)k at t = 6 is the line that passes through the point (f(), g(), h(o)) parallel to v(t), the curve's velocity vec- tor at to. In Exercises 23-26, find parametric equations for the line that is tangent to the given curve at the given parameter value t = 6. %3D TT 26. r(t) (cos t)i + (sin t)j + (sin 2t)k, o = %3D %3D

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.FOM: Focus On Modeling: The Path Of A Projectile

Problem 1P: Trajectories Are Parabolas From the graphs in Figure 3 the paths of projectiles appear to be...

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