1).Find the parametrization of the line through (2,8) with slope 13 for given ?(?)=4?.
(Use symbolic notation and fractions where needed.)
2). Use the formula for the slope of the tangent line to find ??/?? of ?(?)=(sin(6?), cos(7?)) at the point ?=?/2
(Use symbolic notation and fractions where needed.)
3).Find the equation of the tangent line to the cycloid generated by a circle of radius ?=1 at ?=5?/6.
(Use symbolic notation and fractions where needed. )
4). Let ?(?)=(2?^2−3,4?^2−16?). Find the equation of the tangent line at ?=2.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
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